21. Marriages Cox, Mary F. irwin, John, John irwin, aged 22, married Silver, Davis, Mr. and Mrs.R. eisenberg announce the 1709 Park Avenue and Carl Adams, violinist at the http://victorian.fortunecity.com/canterbury/478/bridec.htm

web hosting domain names email addresses BRIDE C-F BRIDE GROOM NOTICE Cable Martha McElhanon Lige Lige McElhannon and Miss Martha Cable, at Ellis; ag4/8/17 Cade Isibella Ish Charles Charles Ish, aged 22, married Miss Isibella Cade, aged 19, Pulaski Co. 6/30/1887.; pcm Cady Eliza Starr Moses Married At Arkansas, on the 23d ult. by Louis Body, Esq. Mr. Ignace Body, to Miss Desire Mitchell, daughter of Mr. Francis Mitchell. At the same place on the 25th ult. by Eli J. Lewis, Esq Mr. Moses Starr, late of Walnut Hills, to Mrs. Eliza Cady, widow of the late P.G. Cady of New York.; ag7/1/1823 Cage Alice Adams David Licensed 1/20/1934 Miller Co.; ami33-39 Cagie Verdna Yelverton R.M. Conway, Jan. 3 - The second double wedding of Vilonia young couples within a week occurred at the courthouse here yesterday, when County Judge Elias L. Smith united in marriage Miss Ethel Fortner and Alvin Bass, and Miss Verdna Cagie and R.M. Yelverton. They drove to Conway in an automobile, and were seated in it on the hourthouse lawn when the ceremony was pronounced.; ag1/4/17 Calbert Eula Marie Ross Thomas L.

22. New York City 1900-1949 1912 Jan 29, Professor irwin Corey, comedian (Car Wash, Doc 1916 Apr 22, YehudiMenuhin (d.1999), violinist, was born 1929 The eisenberg Sandwich Shop opened. http://timelines.ws/cities/NYC_B.HTML

Timeline New York City: 1900-1949 Return to algis.com 1900 Mar 24, Mayor Van Wyck of New York broke ground for the New York subway tunnel that would link Manhattan and Brooklyn. (HN, 3/24/98) 1900 May 22, The Associated Press (founded in 1848) was incorporated in New York as a non-profit news cooperative. (AP, 5/22/00) 1900 Jun 11, Lawrence E Spivak, news panelist (Meet the Press), was born in Brooklyn, NY. (SC, 6/11/02) 1900 Oct 26, After 4 years of work the 1st section of NY subway opened. [see Feb 26, 1870] (MC, 10/26/01) 1900 The Congregation Shaare Zedek built a temple at 25 W. 118th St. It later became the Bethel Way of the Cross Church of Christ. (SFC, 6/10/02, p.D5) (WSJ, 12/15/95, p.A-16)(SFC, 5/17/97, p.E1) 1900-2000 In 2004 James Traub authored "The Devil's Playground," which described this period in NYC's Times Square. (WSJ, 3/19/04, p.W12) 1901 Feb 25, [Herbert] Zeppo Marx, comedian, actor (Marx Brothers), was born in NYC. (MC, 2/25/02) 1901 Oct 14, Justin Huntly McCarthy's "If I Were King," premiered in NYC (Francois Villon). (MC, 10/14/01)

23. University Of New Hampshire - Milne Special Collections And Archives - Ralph Pag Toronto Clarke, irwin Company Limited, 1942 Lucien O. JW PEPPER S UNIVERSAL DANCINGMASTER PROMPTER S CALL BOOK AND violinist S GUIDE eisenberg, Helen Larry http://www.izaak.unh.edu/nhltmd/pagepams.htm

New Hampshire Library of Traditional Pamphlets in the Ralph Page Collection A B C D ... U-Z BOX 1 ALL JOIN HANDS OHIO MAGAZINE BARBER Carpenter "The Dancing Doctor Eisenberg Farwell, Jane THE DEARBORN INDEPENDENT Gadd Hamilton Ives Kalberer LA BASTRINGUE MacEachern Nell RALPH PAGE RAWLEIGH'S St. Taichert Ullrich www.izaak.unh.edu/nhltmd/pagepers.htm Last updated August 1, 2001

24. Milligan College Newly Acquired Materials March 2003 A violinist S GUIDE FOR EXQUISITE INTONATION / BARRY ROSS. Boston McGrawHill/irwin,c2003 BALANCING CREATIVITY AND CONSTRAINT / ERIC M. eisenberg, HL GOODALL http://www.milligan.edu/LIBRARY/newgiftbks303.htm

25. Leitura 1C Richard Einhorn, composer Deborah eisenberg, writer Harris University Mary Siegel,artist irwin Silber, writer Anne Richard A. Vikstrom, violinist, 2002 Green http://www.oficinainforma.com.br/semana/leituras-20020921/01c.htm

Semana de 16 a 20 de setembro de 2002 Leitura 1C A John Abbick Susan Abbott, consultant Hamdiya Fatimah Abdul-Aleem Rabab Abdulhadi Erica Abeel, writer Kim Abeles, artist Anna Abend Jennifer Abod Khaled, Abou El Fadl, professor of law, UCLA Darren Aboulafia James Abourezk David Abram Paula Abrams-Hourani Dave Abston As`ad AbuKhalil, Professor, Cal State Univ, Stanislaus Janet L. Abu-Lughod, Professor Emerita, New School University Lila Abu-Lughod, Professor of Anthropology, Columbia Emily Achtenberg Jesse Achtenberg, filmmaker David Adams, professor, Wesleyan University Dennis Adams, artist Lande Adams Katrina Adang Sandra Adickes, writer/teacher Justin Adler Kristin L. Adolfson, bookmaker Julia J. Aegerter Farhad Afsharvand Nancy Agen Delia D. Aguilar, Professor of Women's Studies (retired), Washington State University Rev. Anne Ainsworth John M Aiono Airtrack Robert Aitken, Teacher and Author Gail Aizin Phyllis Akif Saadoun Al-Bayati, Musician Charlotte Albrecht Judy Albert Michael Albert Stew Albert Lisa Albrecht, activist/educator

26. MUSIC Ebel, Joe electric violinist/guitarist from central Wisconsin. eisenberg, irwin- 2nd violin with Philadelphia String Quartet, Pacific Northwest Ballet, and http://www.esb.utexas.edu/mark/MUSIC/E.htm

M ARK'S M USIC G ALLERY Table of Contents A B C D ... MISC E Elysium Enda - official site. Female-fronted San Francisco band plays dark, brooding guitar pop. E!E - Czech punk group. E-40 - representing the Yay Area. Features a discography, song samples, photos, and biography. E-Craft - electro industrial artists. E-Type Jazz - gig guides, news and soundbites. E.G.A.L - German punk rock band. Includes story, pictures, and more. Eagle Bravo - some swell links to zines, PHRACKish sites, comics and punk, lefty stuff. Eagle Creek Band@ Eagles@ Eakes, Bobbie@ Ear - rock band from Winterthur in Switzerland. Earheart, Billy Earl, Ronnie and the Broadcasters Earle, Steve@ Early Edison - schedules, pictures, song clips, and the latest information about the band. Early Music by Women Composers - very extensive list including discographies, biographies etc. Earnest Pugh Ministries, Inc. - bringing the waters of life to the desert. Earnshaw, Graham - Information on Graham Earnshaw's musical releases, songs, and activities, plus lots of other stuff. Earplug Boy - A new panicky-melodic band.

27. The Greatest Hits [Capitol] Collecting Lladro Price Id Journey Mora, Philippe, D Angelo, Beverly, eisenberg, Aron, Humphries violinist, Bella,Margaret, Saltarelli, Domenick Guitar Sam, Jbara, Gregory, irwin, Bill, Wright http://www.1.good-web-links.com/894.html

...under construction...

28. The Seattle Times: Arts Briefs: Violinist Irv Eisenberg Named Teacher Of The Yea seattletimes.com. lowgraphic news index. Tuesday, March 02, 2004, 1200 A.M. Arts briefs violinist Irv eisenberg named teacher of the year. E-mail this article. Print this article. Search archive http://seattletimes.nwsource.com/text/2001868834_briefs02.html

seattletimes.com low-graphic news index Tuesday, March 02, 2004, 12:00 A.M. Arts briefs: Violinist Irv Eisenberg named teacher of the year E-mail this article Print this article Search archive Irwin (Irv) Eisenberg, violinist and teacher, has been named Private Studio Teacher of the Year for the state of Washington, by the Washington chapter of the American String Teachers and National Symphony Orchestra Associations. Best known as a founding member of the Philadelphia String Quartet, an ensemble with a long and influential Seattle residency (beginning in 1966), Eisenberg also was a member of the St. Louis Symphony and the Philadelphia Orchestra. The Seattle award ceremony will take place at the Anti-Contest, an annual concert gala presented in the form of a mock contest. Its director, Karen Iglitzin, encourages select high-school musicians to create their own musical concepts, complete with costumes and props. This year, 14 ensembles from Washington and Oregon will participate. The Anti-Contest is set for 7:30 p.m. March 19, in Maple Leaf Lutheran Church, 10005 32nd Ave. N.E., in Seattle; admission is by donation ($12 adults, $6 students is suggested) and a reception with the musicians follows the performance. For information: 206-366-1211. Choir of the Sound founder Robert Metzger to retire Robert Metzger, a highly regarded choral conductor and founding director of the Choir of the Sound, has announced his retirement. Metzger founded the choir, formerly the Shoreline Community College Chorale, in 1977; over his term, he has directed more than 40 oratorios with choir and orchestra, and also led European tours in 1983 and 1995.

29. Musician Resources Violin Cerovsek, Corey Up and coming violinist. -Artists. Violin - eisenberg, Irwin2nd violin with Philadelphia String Quartet, Pacific Northwest Ballet, and http://www.musicianresources.org/cgi-bin/mr.so?keyword=Violin&np=4

30. The Whole Enchilada! Bohemian R.A.P. CD!" The first set was such a hit, we had to do it again! The Mud Puppies. 11. irwin Shur " Soft Suicide Bridge to Bridge" Naomi Ruth eisenberg. 14. John Breglia 1980 by http://www.hoohahrecords.com/rap/vol_2/complete.htm

Bohemian R.A.P. CD Intro W E'RE B AAACK From the twisted minds of our members, it's the "Bohemian R.A.P. CD!" The first set was such a hit, we had to do it again! Yes, this is the long-awaited second compilation to emerge from the depths of rec.audio.pro, a newsgroup that teaches the finer points of flaming and "what's the best anything ever for $100?" (Oh yeah, sometimes we talk about music and audio, too). Once again, the music on the CDs covers an astonishing range of styles and budgets. Some prehistory: Way back in 1998, Mike Phillips had the gall to say: "I've read this group religiously for over a year now and cannot say that I have (knowingly) heard any music recorded by any of the regulars (Scott, Fletcher, Harvey, Mike, Hank, et al.) Talk is cheap...let's hear what you do with all of these mics, limiters, consoles, Harleys, and beer!" Who were we to say no? Hence, this collection. Once again, no restrictions were placed on the selection of the cuts on the compilation other than length. Any and all were welcome, and the resulting diversity is (again) a very good thing.

31. Zoe Artemis Bob Holman and Lord Buckley (Jason eisenberg) gracing us world jazz band, along withviolinist Marisa Barnes Anthony irwin, recovering his life from desolation http://www.jackmagazine.com/issue5/essayzartemis.html

Zoe Artemis I. L.I.P.S II. Punk Saint III. Louisville When great jazz musician, composer, and conductor David Amram beckons you with his pipes you are obliged to follow. And when electrifying poet, writer, and whirling dervish Ron Whitehead spins his magical drawl in your direction you are moved to follow him as well. There is a magnetism, a feeling that wherever they GO "It's Happening!" So I knew I had to go to GO, had to go to London, had to go to Louisville. Dionysus was beckoning me and there was no turning back. I. L.I.P.S. produced by Richard Deakin As I walked into the plush upscale Trafalgar Square Hotel lounge for the opening launch party of L.I.P.S. there was crackling magick in the air. Still recovering from 9-11 I was wide open for a collective orgasmic experience, I wanted my socks knocked off and I wasn't disappointed. The lounge was packed and as I looked around I thought to myself "Okay, where are my people." Scanning the room I finally saw Beat Daddy Amram at the other side of the room and made a beeline in his direction to see him, ecstatic as always, and be in his presence.

32. NOW On / Night And Day / Concert Calendar / Jan 18 - 24, 2001 MANHATTAN LOUNGE Mat w/ irwin Shaul 57 pm. Krolo, Winston Spear, Darren Frost, OphiraEisenberg more JOHN violinist presents Carmen Fantasy, Roy Thomson Hall http://www.nowtoronto.com/issues/2001-01-18/music_concerts.html

f r i d a y , j a n u a r y u p c o m i n g Concerts Thursday, January 18 U OF T FACULTY OF MUSIC perform, Walter Hall (U of T), noon, free. 416-978-0491. Saturday, January 20 Monday, January 22 PHIL MINTON, PAUL DUTTON AND PEEBLES AND PERERA Theatre Passe Muraille, $5. 416-204-1080. *B.B. KING AND SUE FOLEY Massey Hall, rescheduled from November 30. All tickets honoured. 416-872-4255. Wednesday, January 24 SMALL JAZZ ENSEMBLES Walter Hall (U of T), free. 416-978-3744. Clubs Thursday, January 18 BAMBOO International Drumming Festival. BARCODE Sons of Stella. BEER STREET RESTAURANT Kiki Misumi. BLACK SWAN Handsome Devils. BLUES ON BELLAIR Greg Godovitz Orchestra. CAMERON C'EST WHAT Mark's Patchwork. CHICK N DELI Carmela Long. CLINTON'S Le Phunk. COMFORT ZONE CROWNE PLAZA Mark Eisenman. EL MOCAMBO FREE TIMES CAFE GATSBY'S Grant Reynolds. GRAFFITI'S GROSSMAN'S GROUND LEVEL Open stage. HARD ROCK CAFE Intended. HOLY JOE'S HOOCH Freestyle. HORSESHOE HOTEL INTER-CONTINENTAL Paul Wurster. KATHEDRAL L'ARTE Dark Holler. LE SAINT-TROPEZ Andree Bernard.

33. Copyright Notice This Bibliography Is Copyright 2000 By Donald E. Pay for a Derivative?, Bennett eisenberg, 295 of Illinois at Chicago Circle, IrwinK. Feinstein 22, 1971, 27, C Mathematician, violinist, FencerBolyai, Howard http://www.maa.org/pubs/cmj-index/whole-cmj-index.txt

pi^e, Norman Schaumberger, 16:4, 1985, 280, C Using Riemann Sums in Evaluating a Familiar Limit, Frank Burk, 17:2, 1986, 170-171, C, 5.1.1, 5.2.1 The Change of Base Formula for Logarithms, Chris Freiling, 17:5, 1986, 413, C, 0.2 Comparing B^A and A^B for A>B, John Rosendahl and James Gilmore, 18:1, 1987, 50, C Behold! The Graphs of f and f inverse are Reflections about the Line y=x, Ayoub B. Ayoub, 18:1, 1987, 52, C, 0.2 A Depreciation Model for Calculus Classes, John C. Hegarty, 18:3, 1987, 219-221, C The Relationship Between Hyperbolic and Exponential Functions, Roger B. Nelsen, 19:1, 1988, 54-56, C, 5.3.3 An Efficient Logarithm Algorithm for Calculators, James C. Kirby, 19:3, 1988, 257-260, C, 9.6 The Age of the Solar System, Winston Phrobis, 21:5, 1990, 399-400, C The Snowplow Problem Revisited, Xiao-peng Xu, 22:2, 1991, 139, C, 6.1 FFF #44. A New Way to Obtain the Logarithm, Ed Barbeau, 22:5, 1991, 403, F Four Crotchets on Elementary Integration, Leroy F. Meyers, 22:5, 1991, 410-413, C, 5.2.3, 5.2.5, 6.1 FFF #49. Two Transcendental Equations, Ed Barbeau, 23:1, 1992, 36, F, 0.2 The Relationship Between Hyperbolic and Exponential FunctionsRevisited, Roger B. Nelsen, 23:3, 1992, 207-208, C, 5.3.3 Napier's Inequality (two proofs), Roger B. Nelsen, 24:2, 1993, 165, C FFF #58. A Rational Combination of Two Transcendentals, Ed Barbeau, 24:3, 1993, 229, F, 0.2 FFF #60. A Two-Valued Function, Ed Barbeau, 24:3, 1993, 230, F, 0.2 An Alternative Definition of the Number e, Carl Swenson and Andre Yandl, 24:5, 1993, 458-461 Another Proof of the Formula e = the infinite sum of reciprocals of n!, Norman Schaumberger, 25:1, 1994, 38-39, C, 5.1.2 Riemann Sums and the Exponential Function, Sheldon P. Gordon, 25:1, 1994, 39-40, C, 5.2.1 Log Cabin (Lost at C), Paul R. Halmos, 25:1, 1994, 70, C Proof Without Words: (a+b)/2 is greater than the square root of ab, Michael K. Brozinsky, 25:2, 1994, 98, C FFF #95. The Integral of ln sin x, Russ Euler, 27:1, 1996, 44-45, F A Visual Proof that ln(ab) = ln(a) + ln(b), Jeffrey Ely, 27:4, 1996, 304, C FFF #115. A Double Exponential Function, Leszek Garwarecki, 28:2, 1997, 120-121, F A Discover-e, Helen Skala, 28:2, 1997, 128-129, C In re: e, David Fowler, 28:3, 1997, 230, C FFF #126. The Wrong Logarithm, Eric Chandler, 29:1, 1998, 35, F 5.3.3 Hyperbolic functions and their inverses Hyperbolic Functions, David Bender, 6:3, 1975, 42-45, C Using Inverse Functions in Integration, Robert C. Crawford, 8:2, 1977, 107-109, C, 5.3.2 Euclid's 'Elements' -excerpts from a 1660 edition, 12:2, 1981, 117, 0.3, 5.3.2 Evaluating the integrals of sec x dx and (sec x) ^3 dx, Bruce Sommer and Norman Schaumberger, 14:3, 1983, 256-257, C, 5.2.5 Inverse Hyperbolic Functions as Areas, B.M.Saler, 16:2, 1985, 129-131, C Some Interesting Consequences of a Hyperbolic Inequality, Frank Burk, 17:1, 1986, 75-76, C Elementary Transcendental Functions, Harley Flanders and J. Sutherland Frame, 18:5, 1987, 417-421, 6.3 The Relationship Between Hyperbolic and Exponential Functions, Roger B. Nelsen, 19:1, 1988, 54-56, C, 5.3.2 FFF #17. cosh x = sinh x and 1 = 0, Ed Barbeau, 21:2, 1990, 128, F, 5.2.5 The Relationship Between Hyperbolic and Exponential Functions Revisited, Roger B. Nelsen, 23:3, 1992, 207-208, C, 5.3.2 Hyperbolic Functions and Proper Time in Relativity, Howard Shaw, 26:4, 1995, 312-315, C 5.3.4 Special functions 5.4 Sequences and series 5.4.1 Sequences A General Formula for the Nth term of a Sequence, Etta Mae Whitton, 2:2, 1971, 96-98, 6.3 Fibonacci Numbers and Pineapple Phyllotaxy, Judithlynne Carson, 9:3, 1978, 132-136, 9.2 Two Unusual Sequences, Ronald E. Kutz, 12:5, 1981, 316-319 Isomorphisms on Magic Squares, Ali R. Amir-Moez, 14:1, 1983, 48-51, 0.2, 9.2, 9.3 A Simple Calculator Algorithm, Lyle Cook and James McWilliam, 14:1, 1983, 52-54 Application of a Generalized Fibonacci Sequence, Curtis Cooper, 15:2, 1984, 145-146, C, 7.2 The Electronic Spreadsheet and Mathematical Algorithms, Deane E. Arganbright, 15:2, 1984, 148-157, 4.1, 7.3, 9.6 Another Look at x^(1/x ), Norman Schaumberger, 15:3, 1984, 249-250, C, 5.1.2 Pascal's Triangle, Difference Tables and Arithmetic Sequences of Order N, Calvin Long, 15:4, 1984, 290-298, 6.3, 3.2, 9.2 The Factorial Triangle and Polynomial Sequences, Steven Schwartzman, 15:5, 1984, 424-426, C, 0.2, 6.3 Arithmetic Progressions and the Consumer, John D. Baildon, 16:5, 1985, 395-397, C, 0.8 The Pascal Polytope: An Extension of Pascal's Triangle to N Dimensions, John F. Putz, 17:2, 1986, 144-155, 3.2, 6.3, 9.2 The Root-Finding Route to Chaos, Richard Parris, 22:1, 1991, 48-55, 6.3, 9.5 Using the Finite Difference Calculus to Sum Powers of Integers, Lee Zia, 22:4, 1991, 294-300, 5.2.1, 5.4.2 Summation by Parts, Gregory Fredricks and Roger B. Nelsen, 23:1, 1992, 39-42, C, 5.1.2, 5.4.2, 9.3 A Sequence Related to the Harmonic Series, E. Ray Bobo, 26:4, 1995, 308-310, C Another Way to Graph a Sequence, David Olson, 27:3, 1996, 208-209, C 5.4.2 Numerical series (convergence tests and summation) Encouraging Mathematical Inquisitiveness, Carl L. Main, 1:1, 1970, 32-36, 5.2.2 Telescoping Sums and the Summation of Sequences, G. Baley Price, 4:2, 1973, 16-29, 6.3 Calculus by Mistake, Louise S. Grinstein, 5:4, 1974, 49-53, C, 5.1.2, 5.1.4, 5.2.2, 5.2.3, 5.2.5, 5.2.10, 5.6.1, 5.7.2 A Precalculus Unit on Area Under Curves, Samuel Goldberg, 6:4, 1975, 29-35, 0.7 An Interesting Use of Generating Functions, Aron Pinker, 6:4, 1975, 39-45, 0.6, 9.5 A Helpful Device: or One More Use for Pascal's Triangle, Robert Rosenfeld, 8:3, 1977, 188-191, C, 0.9 A Coin Game, Thomas P. Dence, 8:4, 1977, 240-246, 9.9, 9.10 Geometric Series on the Gridiron, Andris Niedra, 9:1, 1978, 18-20 A Note on Infinite Series, Louise S. Grinstein, 9:1, 1978, 46-47, C A Note on the Integral Test, Peter A. Lindstrom, 9:2, 1978, 105-106, C Flow Chart for Infinite Series, Thomas W. Shilgalis, 9:3, 1978, 191, C On Sum-Guessing, Mangho Ahuja, 10:2, 1979, 95-99 The Sum of the Reciprocals of the Primes, W.G.Leavitt, 10:3, 1979, 198-199, C Calculator-Demonstrated Math Instruction, George McCarty, 11:1, 1980, 42-48, 5.1.1, 5.2.2, 9.6 An Investment Approach to Geometric Series, Robert Donaghey and Warren Gordon, 11:2, 1980, 120-121, C A Precalculus Approximation of n!, Norman Schaumberger, 11:3, 1980, 202-204, C, 0.2 Summation of Finite SeriesA Unified Approach, Shlomo Libeskind, 12:1, 1981, 41-50, 6.3 Some Sum of Sums, Gerald Lenz, 12:3, 1981, 208-209, C The Saint Petersburg Paradox and Some Related Series, Allan J. Caesar, 12:5, 1981, 306-308 Infinite Series Flow Chart for the Sum of a(n), Franklin Kemp, 13:3, 1982, 199, C Taxes on Taxes, Thomas E. Eisner, 13:4, 1982, 266-269 A Simple Explicit Formula for the Bernoulli Numbers, F. Lee Cook, 13:4, 1982, 273-274, C The Sums of Zeroes of Polynomial Derivatives, Michael W. Ecker, 13:5, 1982, 328-329, C, 0.7, 5.1.2 Closed-Form Formulas for Quasi-Geometric Series, Arthur C. Segal, 14:2, 1983, 118-122 Sequences, Series and Pascal's Triangle, Lenny K. Jones, 14:3, 1983, 253-256, C, 6.3 On Sums of Powers of Natural Numbers, Myren Krom, 14:4, 1983, 349-351, C, 9.1 Instant Hindsight!, Norman Schaumberger, 14:4, 1983, 351, C Evaluating e^x Using Limits, Sheldon P. Gordon, 15:1, 1984, 63-65, 5.3.2 On Problems with Solutions Attainable in More Than One Way, Jean Pedersen and George Polya, 15:3, 1984, 218-228, 0.2, 0.4 An Almost Correct Series, R.A.Mureika and R.D.Small, 15:4, 1984, 334-338, 9.6 A Monte Carlo Simulation Related to the St. Petersburg Paradox, Allan J. Caesar, 15:4, 1984, 339-342, 7.2, 9.10 Approximate Angle Trisection, David Gauld, 15:5, 1984, 420-422, 0.6 Inverse Functions, Ralph P. Boas, 16:1, 1985, 42-47, 5.2.1, 5.3.2 On Rearrangements of the Alternating Harmonic Series, Fon Brown and L.O.Cannon and Joe Elich and David G. Wright, 16:2, 1985, 135-138, C A Discrete Look at 1 + 2 + ... + n, Loren C. Larson, 16:5, 1985, 369-382, 0.2, 0.9, 3.1, 3.2, 6.3 Cantor's Disappearing Table, Larry E. Knop, 16:5, 1985, 398-399, C Sums of Rearranged Series, Paul Schaefer, 17:1, 1986, 66-70 How Far Can You Stick Out Your Neck?, Sydney C.K.Chu and Man-Keung Siu, 17:2, 1986, 122-132, 9.6 Counterexamples to a Comparison Test for Alternating Series, J. Richard Morris, 17:2, 1986, 165-166, C A Case of True Interest, Soo Tang Tan, 17:3, 1986, 247-248, C, 0.8 Another Approach to a Class of Slowly Diverging Series, Norman Schaumberger, 17:5, 1986, 417, C Computer Algebra Systems in Undergraduate Mathematics, Don Small and John Hosack and Kenneth Lane, 17:5, 1986, 423-433, 1.2, 5.1.4, 5.1.5, 5.2.2 The Bernoullis and the Harmonic Series, William Dunham, 18:1, 1987, 18-23, 2.2 Pi/4 and ln 2 Recursively, Frank Burk, 18:1, 1987, 51, C, 5.2.5 Behold! Sums of Arctan, Edward M. Harris, 18:2, 1987, 141, C Generating Functions, William Watkins, 18:3, 1987, 195-211, 6.3, 9.3 Computing Pi, Harley Flanders, 18:3, 1987, 230-235, 5.2.3, 8.1 A Shorter, More Efficient Proof of the limit as n goes to infinity of [(n!)^(1/n)] / n = 1/e, Joseph Wiener, 18:4, 1987, 319, C A Simple Proof of Series Convergence, A.R.Amir-Moez, 18:5, 1987, 410, C Estimating the Sum of Alternating Series, James D. Harper, 19:2, 1988, 149-154 Subharmonic Series, Arthul C. Sogal, 20:3, 1989, 194-200, 9.5 The Power Rule and the Binomial Formula, Stephen H. Friedberg, 20:4, 1989, 322, C, 5.1.2 Evaluating the Sum of the Series Sum(k^j / M^k), Alan Gorfin, 20:4, 1989, 329-331, C Sum the Alternating Harmonic Series, Dave P. Kraines and Vivian Y. Kraines and David A. Smith, 20:5, 1989, 433-435, C, 1.2 Using the Finite Difference Calculus to Sum Powers of Integers, Lee Zia, 22:4, 1991, 294-300, 5.2.1, 5.4.1 The Sum is 1, John H. Mathews, 22:4, 1991, 322, C Summation by Parts, Gregory Fredricks and Roger B. Nelsen, 23:1, 1992, 39-42, C, 5.1.2, 5.4.1, 9.3 Summing Geometric Series by Holding a Tournament, Vincent P. Schielack, 23:3, 1992, 210-211, C Six Ways to Sum a Series, Dan Kalman, 24:5, 1993, 402-421, 9.5 The Series n^m times x^n and a Pascal-like Triangle, David Neal, 25:2, 1994, 99-101 Sum of Squares via the Centroid, Sydney H. Kung, 25:2, 1994, 111, C Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel, 25:2, 1994, 139-142, C, 0.2, 4.5, 9.3, 9.5 FFF #76. Telescoping Series, Eleanor A. Maddock, 25:4, 1994, 309, F FFF. Pi is approximately ln 4, Frank Burk, 25:4, 1994, 311, F Sum of Alternating Series (proof by picture), Guanshen Ren, 26:3, 1995, 213, 0.9 Divergence of a Series (by picture), Sidney H. Kung, 26:4, 1995, 301, C Sums of General Geometric Series (by picture), John Mason, 26:5, 1995, 381, C FFF #106. The Derivative of the Sum Is the Sum of the Derivatives, Ed Barbeau, 27:4, 1996, 282, F Bargaining Theory, or Zeno's Used Cars, James C. Kirby, 27:4, 1996, 285-286, C, 6.3 FFF #111. The Bouncing Ball, Daniel J. Scully, 27:5, 1996, 372-373, F Some Sums of Some Significance, Martha E. Dasef and Steven M. Kautz, 28:1, 1997, 52-55, C Divergence of the Harmonic Series by Rearrangement, Michael W. Ecker, 28:3, 1997, 209-210, C Neither a Worst Convergent Series nor a Best Divergent Series Exists, J. Marshall Ash, 28:4, 1997, 296-297, C Using Simpson's Rule to Approximate Sums of Infinite Series, Rick Kreminski, 28:5, 1997, 368-376 Can You Sum This Familiar Series? (Proof Without Words), Dennis Gittinger, 28:5, 1997, 393, C Sum of Cubes (proof without words), Alfinio Flores, 29:1, 1998, 61, C Who Cares if X2 + 1 = Has a Solution?, Viet Ngo and Saleem Watson, 29:2, 1998, 141-144, C, 0.7, 5.2.5, 6.2 FFF #135. Positive Series with a Negative Sum, William A. Simpson, 29:5, 1998, 407, F A Novel Approach to Geometric Series, Michael W. Ecker, 29:5, 1998, 419-420, C 5.4.3 Taylor polynomials and power series Uniqueness of Power Series Representations, Garfield C. Schmidt, 12:1, 1981, 54-56, C, 9.5 Power Series for Practical Purposes, Ralph Boas, 13:3, 1982, 191-195, 9.5 Extending the Series for ln 2, Norman Schaumberger, 18:3, 1987, 223-225, C More on the Series for ln 2, Leonard Gillman, 19:3, 1988, 252-253, C Spreadsheets, Power Series, Generating Functions, and Integers, Donald R. Snow, 20:2, 1989, 143-152, 6.3 Power Series and Exponential Generating Functions, G. Ervynck and P. Igodt, 20:5, 1989, 411-415, C, 9.5 Taylor Polynomials, David P. Kraines and Vivian Y. Kraines and David A. Smith, 20:5, 1989, 435-436, C, 1.2 FFF #20. A Power Series Representation of 1=0, Ed Barbeau, 21:3, 1990, 217, F FFF #28. More fun with Series, log 2 = 1/2 log 2, Ed Barbeau, 21:5, 1990, 395-396, F (also 23:1, 1992, 38 and 24:3, 1993, 231) Who Needs the Sine Anyway?, Carlos C. Huerta, 23:1, 1992, 43-44, C Approximating Series, Raymond J. Collins, 23:2, 1992, 153-157, C Taylor Polynomial Approximations in Polar Coordinates, Sheldon P. Gordon, 24:4, 1993, 325-330, 5.6.1 Maclaurin Expansion of Arctan x via L'Hopital's Rule, Russell Euler, 24:4, 1993, 347-350, C, 5.1.1 Isaac Newton: Credit Where Credit Won't Do, Robert Weinstock, 25:3, 1994, 179-192, 0.5, 2.2, 5.1.3, 5.6.1 In Defense of Newton: His Biographer Replies, Richard S. Westfall, 25:3, 1994, 201-205, 2.2 FFF #83. Power Series Thinning, David Rose, 26:1, 1995, 35, F (also 26:5, 1995, 384) Newton's Method for Resolving Affected Equations, Chris Christensen, 27:5, 1996, 330-340, 0.7, 5.1.2 On Dividing Coconuts: A Linear Diophantine Problem, Sahib Singh and Dip Bhattacharya, 28:3, 1997, 203-204, C, 9.3 A Note on Taylor's Series for sin(ax+b) and cos(ax+b), Russell Euler, 28:4, 1997, 297-298, C Taylor Polynomials for Rational Functions, Mike O'Leary, 29:3, 1998, 226-228, C 5.5 Vector algebra and geometry (including 2x2 and 3x3 determinants) CorrelationA Vector Approach, Kenneth R. Kundert, 11:1, 1980, 52, C, 7.3 A Note on the Vector Triple Product, Thomas A. McCullough, 11:3, 1980, 206-207, C >From an Inequality to Inversion, Man-Keung Siu, 12:2, 1981, 149-151, C, 0.4 Partial and Semipartial Correlation-A Vector Approach, John Huber, 12:2, 1981, 151-153, C, 7.3 Vector Identities from Quaternions, William C. Schultz, 12:4, 1981, 271-273, C, 9.4 Generalized Pythagorean Triples, W.J.Hildebrand, 16:1, 1985, 48-52, 0.6, 9.3 Tetrahedra, Skew Lines and Volume, James Smith and Mason Henderson, 16:2, 1985, 138-140, C An Alternate Proof of the Vector Triple Product Formula, William C. Schultz, 17:1, 1985, 73-74, C Three Ways to Maximize the Area of an Inscribed Quadrilateral, Leroy F. Meyers, 17:3, 1986, 238-239, C, 0.3 Distance from a Point to a Plane with a Variation on the Pythagorean Theorem, Abdus Sattar Gazdar, 23:5, 1992, 410-412, C Kepler Orbits More Geometrico, Andrew Lenard, 25:2, 1994, 90-98, 0.3 On the Distance from a Point to a Curve, Mark Schwartz, 25:4, 1994, 317-319, C Formulas of Linear Geometry, Heinrich W. Guggenheimer, 27:1, 1996, 24-32 A Geometric View of a Vector Identity, Yukio Kobayashi, 29:4, 1998, 309-310, C Differential Forms for Constrained Max-Min Problems: Eliminating Lagrange Multipliers, Frank Zizza, 29:5, 1998, 387-396, 5.7.1 Computation of Planetary Orbits, Donald A. Teets and Karen Whitehead, 29:5, 1998, 397-404, 5.6.1 5.6 Curves and surfaces 5.6.1 Parametric and polar curves Calculus by Mistake, Louise S. Grinstein, 5:4, 1974, 49-53, C, 5.1.2, 5.1.4, 5.2.2, 5.2.3, 5.2.5, 5.2.10, 5.4.2, 5.7.2 Rectangular Aids for Polar Graphs, Alice W. Essary, 13:3, 1982, 200-205, 5.2.8 Roots of Polynomials and Loci, Ali R. Amir-Moez, 14:4, 1983, 313-317, 0.5 Mathematical Discovery via Computer Graphics: Hypocycloids and Epicycloids, Florence S. Gordon and Sheldon P. Gordon, 15:5, 1984, 440-443 On Hypocycloids and their Diameters, I.J.Schoenberg, 16:4, 1985, 262-267, 9.5 Vectors in a LOGO Learning Environment, Will Watkins, 16:4, 1985, 286-300 Defining Areas in Polar Coordinates, Frances W. Lewis, 17:5, 1986, 414-416, C Transitions, Jeanne L. Agnew and James R. Choike, 18:2, 1987, 124-133, 0.7, 5.1.3, 9.10 FFF #4. Area of an Ellipse, Ed Barbeau, 20:2, 1989, 132-133, F, 0.5 (also 20:3, 1989, 227) Connecting the Dots Parametrically: An Alternative to Cubic Splines, Wilbur J. Hildebrand, 21:3, 1990, 208-215, 4.6, 9.6 Moments on a Rose Petal, Douglass L. Grant, 21:3, 1990, 225-227, C, 5.2.5 Single Equations Can Draw Pictures, Keith M. Kendig, 22:2, 1991, 134-139, C, 0.4, 0.5, 5.1.5, 5.6.2 Trochoids, Roses, and ThornsBeyond the Spirograph, Leon M. Hall, 23:1, 1992, 20-35 Rotation of AxesNot Just for Conics, Steven Schonefeld, 23:5, 1992, 418-425, 0.5 Taylor Polynomial Approximations in Polar Coordinates, Sheldon P. Gordon, 24:4, 1993, 325-330, 5.4.3 Does a Parabola Have an Asymptote?, David Bange and Linda Host, 24:4, 1993, 331-342, 5.1.1, 5.1.5 Heart to Bell (illustration), Michael W. Chamberlain, 25:1, 1994, 34 Isaac Newton: Credit Where Credit Won't Do, Robert Weinstock, 25:3, 1994, 179-192, 0.5, 2.2, 5.1.3, 5.4.3 In Defense of Newton: A Physicist's View, A. P. French, 25:3, 1994, 206-209, 0.5, 2.2 Parametric Equations and Planar Curves, Kirby C. Smith and Vincent P. Schielack, 25:4, 1994, 319-321, C FFF #81. Throwing Another Fallacy out the Window (Using Minimum Energy), Paul Deiermann and Rick Mabry, 25:5, 1994, 434, F (also 26:5, 1995, 383) The Chair, the Area Rug, and the Astroid, Mark Schwartz, 26:3, 1995, 229-231, C, 5.1.4 FFF #91. A Perpetual Motion Matchine, Eric Chandler, 26:4, 1995, 302-303, F Rectangular-to-Polar Folding Fans, Dan Pritikin, 26:4, 1995, 305-308, C FFF #99. Polar Increment of Area, Peter Jarvis and Paul Schuette, 27:2, 1996, 117, F, 5.2.6 Some Comments on "Parametric Equations and Plane Curves", Zhibo Chen, 27:3, 1996, 210-211, C A Note on the Brachistochrone Problem, Jim Zeng, 27:3, 1996, 206-208, C Mercator's Rhumb Lines: A Multivariable Application of Arc Length, John Nord and Edward Miller, 27:5, 1996, 384-387, C, 5.2.8 A Rose is a Rose is a Rose ..., Melissa Shepard, 28:1, 1997, 55-56, C An Envelope for a Spirograph, Andrew Simoson, 28:2, 1997, 134-139 Visualizing the Geometry of Lissajous Knots, John Meier and Jessica Wolfson, 28:3, 1997, 211-216, 9.8 The Coffee Cup Caustic for Calculus Students, Brian J. Loe and Nathaniel Beagley, 28:4, 1997 Designing a Baseball Cover, Richard B. Thompson, 29:1, 1998, 48-61 Numerically Parametrizing Curves, Steven Wilkinson, 29:2, 1998, 104-119, 5.6.2, 9.8 Pursuit and Regular N-gons, Michael J. Seery, 29:3, 1998, 228-229, C Computation of Planetary Orbits, Donald A. Teets and Karen Whitehead, 29:5, 1998, 397-404, 5.5 MATH and Other Four-Letter Words, Marc D. Sanders and Barry A. Tesman, 29:5, 1998, 418-419, C 5.6.2 Surfaces and coordinate systems in space Parametric Surfaces, Harley Flanders, 19:5, 1988, 444-447, 5.6.1, 8.3 Graphing Surfaces in Cylindrical and Spherical Coordinates, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:2, 1990, 144-145, C Contour MapsA Visual Experience, Helen Skala, 22:3, 1991, 241-244 Least Squares and Quadric Surfaces, Donald Teets, 24:3, 1993, 243-244, C, 5.7.1, 7.3 FFF #77. Generalizing an Approach to the Radius of Curvature, Paul Deiermann and Rick Mabry, 25:4, 1994, 309-310, F An Archimedean Property of the Bicylinder, Duane W. DeTemple, 25:4, 1994, 312-314, C Spherical Coordinates from Cylindrical Coordinates on a Torus, Timothy Murdoch, 26:5, 1995, 385-387, C Doughnut Slicing, Wolf von Ronik, 28:5, 1997, 381-383, C, 0.5 Numerically Parametrizing Curves, Steven Wilkinson, 29:2, 1998, 104-119, 5.6.1, 9.8 5.7 Multivariable calculus 5.7.1 Multivariable differential calculus An Alternate Proof of the Equality of the Mixed Partial Derivatives, Gerard P. Protomastro, 7:4, 1976, 47-48, C Income Tax Averaging and Convexity, Michael Henry and G.E.Trapp, Jr., 15:3, 1984, 253-255, C, 0.8, 5.1.5, 9.5 Interactive Graphics for Multivariable Calculus, Michael E. Frantz, 17:2, 1986, 172-181, 1.2, 5.1.1, 5.1.4 Moire Fringes and the Conic Sections, M.R.Cullen, 21:5, 1990, 370-378, 0.5, 0.5, 0.5 Extreme and Saddle Points, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:5, 1990, 416-418, C, 5.1.4 'Hidden' Boundaries in Constrained Max-Min Problems, Herbert R. Bailey, 22:3, 1991, 227-229, C Calculus and Computer Vision, Mark Bridger, 23:2, 1992, 132-141, 8.3 Relative Maxima or Minima for a Function of Two Variables: A Neglected Approach, Paul Chacon, 23:2, 1992, 145-146, C Erratum: Relative Maxima or Minima for a Function of Two Variables, The Editors, 23:4, 1992, 314, C FFF #57. The Conservation of Energy, Ed Barbeau, 23:5, 1992, 405, F A Computer Lab for Multivariate Calculus, Casper R. Curjel, 24:2, 1993, 175-177, C, 1.2, 8.3 Least Squares and Quadric Surfaces, Donald Teets, 24:3, 1993, 243-244, C, 5.6.2, 7.3 FFF #64. Polar Paradox?, Ed Barbeau, 24:4, 1993, 344, F FFF #68. Variable Results with Partial Differentiation, Hugh Thurston, 25:1, 1994, 35-36, F Calculus in the Brewery, Susan Jane Colley, 25:3, 1994, 226-227, C Individualized Computer Investigatins for Multivariable Calculus, Larry Riddle, 26:3, 1995, 235-237 Presenting the Kuhn-Tucker Conditions Using a Geometric Approach, Patrick J. Driscoll and William P. Fox, 27:2, 1996, 101-108, 9.9 Why Polynomials Have Roots, Javier Gomez-Calderon and David M. Wells, 27:2, 1996, 90-94, 5.1.2, 9.5 Will the Real Best Fit Curve Please Stand Up?, Helen Skala, 27:3, 1996, 220-223, C, 7.3 Real Analysis in the Brewery, Sidney Kravitz, 27:3, 1996, C Using the College Mathematics Journal Topic Index in Undergraduate Courses, Donald E. Hooley, 28:2, 1997, 106-109, 4.1, 4.2, 5.1.4 Multiple Derivatives of Compositions: Investigating Some Special Cases, Irl C. Bivens, 28:4, 1997, 299-300, 3.2 Counterexamples to a Weakened Version of the Two-Variable Second Derivative Test, Allan A. Struthers, 28:5, 1997, 383-385, C Unifying a Family of Extrema Problems, William Barnier and Douglas Martin, 28:5, 1997, 388-391, C Paths of Minimum Length in a Regular Tetrahedron, Richard A. Jacobson, 28:5, 1997, 394-397, C, 0.4 The Long Arm of Calculus, Ethan Berkove and Rich Marchand, 29:5, 1998, 376-386, 9.10 Differential Forms for Constrained Max-Min Problems: Eliminating Lagrange Multipliers, Frank Zizza, 29:5, 1998, 387-396, 5.5 5.7.2 Multiple integrals Some Problems of Utmost Gravity, William C. Stetton, 3:1, 1972, 72-75, C, 5.2.3 Interchanging the Order of Integration, Stewart Venit, 5:3, 1974, 20-21 Calculus by Mistake, Louise S. Grinstein, 5:4, 1974, 49-53, C, 5.1.2, 5.1.4, 5.2.2, 5.2.3, 5.2.5, 5.2.10, 5.4.2, 5.6.1 Another Way of Looking at n!, David Hsu, 11:5, 1980, 333-334, C, 5.2.7 A Sequel to "Another Way of Looking at n!", William Moser, 15:2, 1984, 142-143, C, 3.2, 5.2.7 An Alternative to Changing the Order of Integration, Elgin H. Johnston, 20:5, 1989, 405-409, C A Mathematical Roller Derby, Daniel Drucker, 23:5, 1992, 396-401 FFF #61. Caution and the Evaluation of Double Integrals, Ed Barbeau, 24:3, 1993, 230, F On Laplace's Extension of the Buffon Needle Problem, Barry J. Arnow, 25:1, 1994, 40-43, C, 7.2 Calculus Measures Tank Capacity and Avoids Oil Spills, Yves Nievergelt, 25:2, 1994, 132-136, C A Visual Proof of Eddy and Fritsch's Minimal Area Property, Robert Pare, 26:1, 1995, 43-44, C, 5.1.4 Looking at Order of Integration and a Minimal Surface, Thomas Hern and Cliff Long and Andy Long, 29:2, 1998, 128-133, 9.8 5.7.3 Line and surface integrals and vector analysis Tangent Vectors and Orthogonal Projections, Jerry Johnson, 24:3, 1993, 259-262, C Knots about Stokes' Theorem, Michael C. Sullivan, 27:2, 1996, 119-122, C Independence of Path and All That, Robert E. Terrell, 27:4, 1996, 272-276, 9.8 Eigenpictures and Singular Values of a Matrix, Peter Zizler and Holly Fraser, 28:1, 1997, 59-62, C, 4.5 5.8 Software for calculus A Mathematics Software Database, R.S.Cunningham and David A. Smith, 17:3, 1986, 255-266, 0.10, 3.4, 4.8, 6.7, 7.4, 9.11 A Mathematics Software Database Update, R.S.Cunningham and David A. Smith, 18:3, 1987, 242-247, 0.10, 3.4, 4.8, 6.7, 7.4, 9.11 The Compleat Mathematics Software Database, R.S.Cunningham and David A. Smith, 19:3, 1988, 268-289, 0.10, 3.4, 4.8, 6.7, 7.4, 9.11 Mathematics by Machine with Mathematica@, Alan Hoenig, 21:2, 1990, 146-149 Calculus Software, Part 1, L. Carl Leinbach, 21:5, 1990, 420-422 IBM Three-Dimensional Graphing Software for Multivariate Calculus, Lillie Crowley and J. Stephen Ott, 23:1, 1992, 64-68 Derive@, A Mathematical Assistant, Jeanette R. Palmiter, 23:2, 1992, 158-161 Calculus Software for the Macintosh, L. Carl Leinbach and Edward A. Huff, 23:5, 1992, 429-434 Theorist@, Francis Gulick, 24:2, 1993, 178-182 MicroCalc Version 6, L. Carl Leinbach, 24:3, 1993, 263-270 Maple@ V (software review), Eric R. Muller and K.J.Srivastava, 25:1, 1994, 56-63, 6.7 Converge, Version 4.0 (Software Review), Lawrence G. Gilligan, 26:1, 1995, 58-63, 0.10 Toolkit for Interactive Mathematics, review by L. Carl Leinbach, 26:2, 1995, 152-156, 0.10 Derive@, Version 3.0, reviewed by Lawrence G. Gilligan, 26:3,1995, 238-243, 6.7 Software Review: f(g) Scholar, David C. Arney and Daniel J. Arney, 26:5, 1995, 401-403, 0.10, 4.8 TI-92 Graphing Calculator (Review), Sally Fischbeck, 27:3, 1996, 224-230 Dynamic Function Visualization, Mark Bridger, 27:5, 1996, 361-369, 5.1.5, 9.5 Function Visualizer, L. Carl Leinbach, 27:5, 1996, 398-403 Mathwright 2.0, Angela Hare, 28:2, 1997, 140-144 Macsyma 2.1, Carl Leinbach, 28:3, 1997, 224-230 Derive for Windows, Robert Mayes, 28:4, 1997, 310-314 Scientific Notebook, Jon Wilkin, 29:1, 1998, 62-65 Mathematica Sortware Review, Steven Wilkinson, 29:4, 1998, 323-329, 9.11 6 Differential Equations and Dynamical Systems 6.1 First order equations Some Socially Relevant Applications of Elementary Calculus, Colin Clark, 4:2, 1973, 1-15, 5.1.4 The Homicide Problem Revisited, David A. Smith, 9:3, 1978, 141-145, 6.2 Creative Teaching by Mistakes, Andrejs Dunkels and Lars-Erik Persson, 11:5, 1980, 296-300, 5.2.5 Differential Equations and the Battle of Trafalgar, David H. Nash, 16:2, 1985, 98-102, 6.2, 9.10 Both a Borrower and a Lender Be, William Miller, 16:4, 1985, 284, C, 0.8 The Problem of Managing a Strategic Reserve, David Cole and Loren Haarsma and Jack Snoeyink, 17:1, 1986, 48-60, 5.1.4, 9.10 A Linear Diet Model, Arthur C. Segal, 18:1, 1987, 44-45, C The Snowplow Problem Revisited, Xiao-peng Xu, 22:2, 1991, 139, C, 5.3.2 Four Crotchets on Elementary Integration, Leroy F. Meyers, 22:5, 1991, 410-413, C, 5.2.3, 5.2.5, 5.3.2 Physical Demonstrations in the Calculus Classroom, Tom Farmer and Fred Gass, 23:2, 1992, 146-148, C, 1.2, 5.2.1 What It Means to Understand A Differential Equation, John H. Hubbard, 25:5, 1994, 372-384, 1.2, 6.2, 6.4 Teaching Differential Equations with a Dynamical Systems Viewpoint, Paul Blanchard, 25:5, 1994, 385-393, 1.2, 6.2, 6.4 Asking Good Questions about Differential Equations, Paul Davis, 25:5, 1994, 394-400, 1.1, 1.2 A Balloon Experiment in the Classroom, Thomas Gruszka, 25:5, 1994, 442-444, C, 6.4, 9.10 Designing a Rose Cutter, J. S. Hartzler, 26:1, 1995, 41-43, C Minimal Time of Descent, Jack Drucker, 26:3, 1995, 232-235 Discovering Differential Equations in Optics, William Mueller and Richard Thompson, 28:3, 1997, 217-223, 9.10 6.2 Higher order linear equations and linear systems Functions Defined by Differential Equations: A Short Course in Trigonometry, D. Bushaw, 2:1, 1971, 32-35 Talking About Particular Solutions, Sidney H. L. Kung, 3:1, 1972, 67-71, C On Particular Solutions of Pn(D)Y=0, H. L. Kung, 4:1, 1973, 14-25 Solving Systems of Linear Differential Equations, Michael Olinick, 4:1, 1973, 26-30 Factorization of Operators of Second Order Linear Homogeneous Ordinary Differential Equations, Donn C. Sandell and F. Max Stein, 8:3, 1977, 132-141 Another Approach to a Standard Differential Equation, R.S.Luthar, 10:3, 1979, 200-201, C Differential Operators Applied to Integration, Kong-Ming Chong, 13:2, 1982, 155-157, C, 5.2.5 Differential Equations and the Battle of Trafalgar, David H. Nash, 16:2, 1985, 98-102, 6.1, 9.10 A General Method for Deriving the Auxiliary Equation for Cauchy-Euler Equations, Vedula N. Murty and James F. McCrory, 16:3, 1985, 212-215, C Predator-Prey Model, David P. Kraines and Vivian Y. Kraines and David A. Smith, 22:2, 1991, 160-162, C Systems of Linear Differential Equations by Laplace Transform, H. Guggenheimer, 23:3, 1992, 196-202, 4.5 Fireworks, J.M.A.Danby, 23:3, 1992, 237-240, C, 8.3 Timing Is Everything, J. Thoo, 23:4, 1992, 308-309, C Teaching the Laplace Transform Using Diagrams, V. Ngo and S. Ouzomgi, 23:4, 1992, 309-312, C FFF #63. An Euler Equation, Ed Barbeau, 24:4, 1993, 343-344, F New Directions in Elementary Differential Equations, William E. Boyce, 25:5, 1994, 364-371, 1.2, 6.4 What It Means to Understand A Differential Equation, John H. Hubbard, 25:5, 1994, 372-384, 1.2, 6.1, 6.4 Teaching Differential Equations with a Dynamical Systems Viewpoint, Paul Blanchard, 25:5, 1994, 385-393, 1.2, 6.1, 6.4 Computers, Lies, and the Fishing Season, Robert L. Borrelli and Courtney S. Coleman, 25:5, 1994, 401-412, 6.4, 6.5 A New Look at the Airy Equation with Fences and Funnels, John H. Hubbard, Jean Marie McDill, Anne Noonburg, and Beverly H. West, 25:5, 1994, 419-431, 6.6 FFF #78. Solving a Second-order Differential Equation, Ed Barbeau, 25:5, 1994, 432-433, F A Progression of Projectiles: Examples from Sports, Roland Minton, 25:5, 1994, 436-442, C, 6.4, 9.10 Matrix Patterns and Undertermined Coefficients, Herman Gollwitzer, 25:5, 1994, 444-448, C, 4.1 The Lighter Side of Differential Equations, J. M. McDill and Bjorn Felsager, 25:5, 1994, 448-452, C, 6.4 Experiments with Probes in the Differential Equations Classroom, David O. Lomen, 25:5, 1994, 453-457, 6.4, 9.10 Sonnet from the Bard of Peirce-upon-Charles (poem), Ezra Hausman, 25:5, 1994, 457 Distinguised Oscillations of a Forced Harmonic Oscillator, T. G. Proctor, 26:2, 1995, 111-117, 6.6 The Matrix Exponential Function and Systems of Differential Equations Using Derive@, Robert J. Hill and Mark S. Mazur, 26:2, 1995, 146-151, 4.5 Projectile Motion with Arbitrary Resistance, Tilak de Alwis, 26:5, 1995, 361-367, 9.10 The Falling Ladder Paradox, Paul Scholten and Andrew Simoson, 27:1, 1996, 49-54, C, 5.1.3 Solving Linear Differential Equations by Operator Factorization, A. B. Urdaletova and S. K. Kydyraliev, 27:3, 1996, 199-203 A Home Heating Model for Calculus Students, Prashant S. Sansgiry and Constance C. Edwards, 27:5, 1996, 394-397, C, 9.10 Harmonic Oscillators with Periodic Forcing, Temple H. Fay, 28:2, 1997, 98-105 Who Cares if X2 + 1 = Has a Solution?, Viet Ngo and Saleem Watson, 29:2, 1998, 141-144, C, 0.7, 5.2.5, 5.4.2 6.3 Difference equations, discrete dynamical systems, and fractals Vectors Point Toward Pisa, Richard A. Dean, 2:2, 1971, 28-39, 4.3 A General Formula for the Nth Term of a Sequence, Etta Mae Whitton, 2:2, 1971, 96-98, 5.4.1 Telescoping Sums and the Summation of Sequences, G. Baley Price, 4:2, 1973, 16-29, 5.4.2 Stirling's Triangle of the First KindAbsolute Value Style, Hugh Ouellette and Gordon Bennett, 8:4, 1977, 195-202, 0.2 Stirling's Numbers of the Second KindProgramming Pascal's and Stirling's Triangles, Satish K. Janardan and Konanur G. Janardan, 9:4, 1978, 243-248, 0.2 Binary Grids and a Related Counting Problem, Nathan Hoffman, 9:4, 1978, 267-272, 3.1 Summation of Finite SeriesA Unified Approach, Shlomo Libeskind, 12:1, 1981, 41-50, 5.4.2 Sequences, Series, and Pascal's Triangle, Lenny K. Jones, 14:3, 1983, 253-256, C, 5.4.2, 9.2 Pascal's Triangle, Difference Tables and Arithmetic Sequences of Order N, Calvin Long, 15:4, 1984, 290-298, 3.2, 5.4.1, 9.2 The Factorial Triangle and Polynomial Sequences, Steven Schwartzman, 15:5, 1984, 424-426, C, 0.2, 5.4.1 A Discrete Look at 1 + 2 + ... + n, Loren C. Larson, 16:5, 1985, 369-382, 0.2, 0.9, 3.1, 3.2, 5.4.2 The Pascal Polytope: An Extension of Pascal's Triangle to N Dimensions, John F. Putz, 17:2, 1986, 144-155, 3.2, 5.4.1, 9.2 Generating Functions, William Watkins, 18:3, 1987, 195-211, 5.4.2, 9.3 Fibonacci Numbers and Computer Algorithms, John Atkins and Robert Geist, 18:4, 1987, 328-336, 5.1.4, 8.1 Two Simple Recursive Formulas for Summing 1^k + 2^k + ... + n^k, Michael Carchidi, 18:5, 1987, 406-409, C, 5.2.1 Powers and Roots by Recursion, Joseph F. Aieta, 18:5, 1987, 411-416, 0.2, 0.7 Elementary Transcendental Functions, Harley Flanders and J. Sutherland Frame, 18:5, 1987, 417-421, 5.3.3 Pseudorandom Number Generators and a Four-Bit Computer System, James C. Reber, 20:1, 189, 54-55, C, 9.3, 9.10 Spreadsheets, Power Series, Generating Functions, and Integers, Donald R. Snow, 20:2, 1989, 143-152, 5.4.2 The Eternal Trianglea History of a Counting Problem, Mogens Esrom Larsen, 20:5, 1989, 370-384, 3.2 A Hidden Case of Negative Amortization, Bert K. Waits and Franklin Demana, 21:2, 1990, 121-126, 0.8 A Chaotic Search for i, Gilbert Strang, 22:1, 1991, 3-12, 5.1.3, 9.5 Discrete Dynamical Modeling, James T. Sandefur, 22:1, 1991, 13-22, 9.10 The Orbit Diagram and the Mandelbrot Set, Robert L. Devaney, 22:1, 1991, 23-38, 9.10 Theory vs. Computation in Some Very Simple Dynamical Systems, Larry Blaine, 22:1, 1991, 42-44, C, 9.10 Chaiotic Mappings and Probability Distributions, Paul C. Matthews and Steven H. Strogatz, 22:1, 1991, 45-47, 7.2 The Root-Finding Route to Chaos, Richard Parris, 22:1, 1991, 48-55, 5.4.1, 9.5 Sofware Review: Chaos and Fractal Software, Jonathan Choate, 22:1, 1991, 65-69, 6.7, 9.5 Commutativity of Polynomials, Shmuel Avital and Edward Barbeau, 23:5, 1992, 386-395, 0.2, 0.7 Fibonacci Numbers, Recursion, Complexity, and Induction Proofs, Elmer K. Hayashi, 23:5, 1992, 407-410, C Investigation of a Recurrence Relation: Student Research Project, Dmitri Thoro and Linda Valdes, 25:4, 1994, 322-324, 3.2, 9.3 The Dynamics of Newton's Method for Cubic Polynomials, James A. Walsh, 26:1, 1995, 22-28, 5.1.3 Can We See the Mandelbrot Set?, John Ewing, 26:2, 1995, 90-99, 9.5 A Geometric Approach to Linear Functions, Jack E. Graver, 26:5, 1995, 389-394, C, 0.2, 0.4 Bargaining Theory, or Zeno's Used Cars, James C. Kirby, 27:4, 1996, 285-286, C, 5.4.2 A Recurrence Relation in the Spinout Puzzle, Robert C. Lamphere, 27:4, 1996, 286-289, C Fractals in Linear Algebra, James A. Walsh, 27:4, 1996, 298-304, 4.4 How Chaotic Things Work, William C. Mercier, 28:2, 1997, 110-118 Fibonacci Powers and a Fascinating Triangle, Dale K. Hathaway and Stephen L. Brown, 28:2, 1997, 124-128, C, 3.3, 9.3 A Continuous Version of Newton's Method, Steven M. Hetzler, 28:5, 1997, 348-351, 5.1.3 Studying the Cantor Dust at the Edge of Feigenbaum Diagrams, Aaron Klebanoff and John Rickert, 29:3, 1998, 189-198 A Simple Decision Rule for a Guessing Game, Luiz Felipe Martins, 29:5, 1998, 371-375, 7.1 Candies and Dollars, Saad M. Adnan, 29:5, 1998, 414-415, C 6.4 Nonlinear differential equations How to Balance a Yardstick on an Apple, Herbert R. Bailey, 17:3, 1986, 220-225, 9.10 Bat and Superbat, Herbert R. Bailey, 18:4, 1987, 307-314, 5.2.9 A Rich Differential Equation for Computer Demonstrations, Bernard W. Banks, 21:1, 1990, 45-50, 6.5, 9.6 Newton's Orbit Problem: A Historian's Response, Curtis Wilson, 25:3, 1994, 193-200, 0.5, 2.2 Newton's Principia and Inverse-Square Orbits, N. Nauenberg, 25:3, 1994, 212-221, 0.5, 2.2, 6.5 New Directions in Elementary Differential Equations, William E. Boyce, 25:5, 1994, 364-371, 1.2, 6.2 What It Means to Understand A Differential Equation, John H. Hubbard, 25:5, 1994, 372-384, 1.2, 6.1, 6.2 Teaching Differential Equations with a Dynamical Systems Viewpoint, Paul Blanchard, 25:5, 1994, 385-393, 1.2, 6.1, 6.2 Computers, Lies, and the Fishing Season, Robert L. Borrelli and Courtney S. Coleman, 25:5, 1994, 401-412, 6.2, 6.5 Quenching a Thirst with Differential Equations, Martin Ehrismann, 25:5, 1994, 413-418, 9.10 A Progression of Projectiles: Examples from Sports, Roland Minton, 25:5, 1994, 436-442, C, 6.2, 9.10 A Balloon Experiment in the Classroom, Thomas Gruszka, 25:5, 1994, 442-444, C, 6.1, 9.10 The Lighter Side of Differential Equations, J. M. McDill and Bjorn Felsager, 25:5, 1994, 448-452, C, 6.2 Experiments with Probes in the Differential Equations Classroom, David O. Lomen, 25:5, 1994, 453-457, 6.2, 9.10 Gudermann and the Simple Pendulum, John S. Robertson, 28:4, 1997, 271-276, 5.3.1 Characterizing Power Functions by Volumes of Revolution, Bettina Richmond and Tom Richmond, 29:1, 1998, 40-41, C, 5.2.7 6.5 Numerical methods for differential equations A Rich Differential Equation for Computer Demonstrations, Bernard W. Banks, 21:1, 1990, 45-50, 6.4, 9.6 Newton's Principia and Inverse-Square Orbits, N. Nauenberg, 25:3, 1994, 212-221, 0.5, 2.2, 6.4 Computers, Lies, and the Fishing Season, Robert L. Borrelli and Courtney S. Coleman, 25:5, 1994, 401-412, 6.2, 6.4 6.6 Other topics in differential equations An Alternative Approach to the Vibrating String Problem, James Chew, 12:2, 1981, 147-149, C Computer Graphics for the Vibrating String, Howard Lewis Penn, 17:1, 1986, 79-89 A New Look at the Airy Equation with Fences and Funnels, John H. Hubbard, Jean Marie McDill, Anne Noonburg, and Beverly H. West, 25:5, 1994, 419-431, 6.2 Distinguised Oscillations of a Forced Harmonic Oscillator, T. G. Proctor, 26:2, 1995, 111-117, 6.2 Zeroing In on the Delta Function, Joan R. Hundhausen, 29:1, 1998, 27-32 How to Pump a Swing, Stephen Wirkus and Richard Rand and Andy Ruina, 29:4, 1998, 266-275, 9.9 6.7 Software for differential equations and dynamical systems A Mathematics Software Database, R.S.Cunningham and David A. Smith, 17:3, 1986, 255-266, 0.10, 3.4, 4.8, 5.8, 7.4, 9.11 A Mathematics Software Database Update, R.S.Cunningham and David A. Smith, 18:3, 1987, 242-247, 0.10, 3.4, 4.8, 5.8, 7.4, 9.11 The Compleat Mathematics Software Database, R.S.Cunningham and David A. Smith, 19:3, 1988, 268-289, 0.10, 3.4, 4.8, 5.8, 7.4, 9.11 Chaos and Fractal Software, Jonathan Choate, 22:1, 1991, 65-69, 9.5, 6.3 Derive, A Mathematical Assistant, Jeanette R. Palmiter, 23:2, 1992, 158-161 Theorist@, Francis Gulick, 24:2, 1993, 178-182 MicroCalc Version 6, L. Carl Leinbach, 24:3, 1993, 263-270 Maple@ V (software review), Eric R. Muller and K.J.Srivastava, 25:1, 1994, 56-63, 5.8 Differential Systems 3.1, James P. Fink, 25:4, 1994, 329-333 ODE Solvers for the Classroom, Andrew Flint and Ron Wood, 25:5, 1994, 458-461 Derive@, Version 3.0, reviewed by Lawrence G. Gilligan, 26:3,1995, 238-243, 5.8 Forget Not the Lowly Spreadsheet, Michael G. Henle, 26:4, 1995, 320-328, 3.4 Dfield and Pplane, Alan T. Zehnder, 27:2, 1996, 144-148 Interactive Differential Equations, James P. Fink, 28:1, 1997, 63-66 VisualDSolve, Michael Frame, 28:5, 1997, 398-405 IDEA: Internet Differential Equations Activities, Elly Claus-McGahan, 29:5, 1998, 427-433 7 Probability and Statistics 7.1 Games of chance (also see 9.2) A Program for Keno, Karl J. Smith, 3:2, 1972, 16-20, 9.10 An Interesting Penny Game, Keith J. Craswell, 4:1, 1973, 18-25, 7.2 Oh Craps, Lawrence G. Gilligan and Nelson G. Rich, 5:4, 1974, 42-48, 7.2 An Application from Combinatorics to Dice-Sum Frequencies, David L. Pugh, 11:5, 1980, 331-333, C, 3.2 Dice Tossing and Pascal's Triangle, John D. Neff, 13:5, 1982, 311-314, 7.2 Blackjack with n Decks, Philip G. Buckhiester, 14:4, 1983, 345-346, C, 7.2 Equalizing a Two-Person Alternation Game, Robert K. Tamaki, 18:2, 1987, 134-135, C, 7.2 How Many Bridge Actions?, Douglas S. Jungreis and Erich Friedman, 19:2, 1988, 171-172, C, 3.2 Maybe the Price Doesn't Have to be Right: Analysis of a Popular TV Game Show, Danny W. Turner and Dean M. Young and Virgil R. Marco, 19:5, 1988, 419-421, C, 7.2 FFF. Marilyn's Problem, Prisoner's Paradox, Two Children, and Three Cards, Ed Barbeau, 22:4, 1991, 308, F, 7.2 (also 24:2, 1993, 149-154) The Game of Dreidel Made Fair, Felicia Moss Trachtenberg, 27:4, 1996, 278-281 A Simple Decision Rule for a Guessing Game, Luiz Felipe Martins, 29:5, 1998, 371-375, 6.3 7.2 Probability An Interesting Penny Game, Keith J. Craswell, 4:1, 1973, 18-25, 7.1 How to Find a Needle in a Haystack, Keith J. Craswell, 4:3, 1973, 18-21 Why Isn't Penny Flipping Fairer?, Keith J. Craswell, 5:3, 1974, 18-19 Oh Craps, Lawrence G. Gilligan and Nelson G. Rich, 5:4, 1974, 42-48, 7.1 The Birthday Problem Revisited, Joe Dan Austin, 7:4, 1976, 39-42 Independence and Intuition, V.N.Murty, 8:2, 1977, 106-107, C Some New Ways of Solving a Coin Tossing Problem, Nathan Hoffman, 9:1, 1978, 6-10 A Neglected Probability Formula, John Sodano and Arthur Yaspan, 9:3, 1978, 145-147 Another Solution to a Coin-Tossing Problem, V.N.Murty, 10:1, 1979, 33-35, C A Gambler's Ruin Problem, Ross Honsberger, 10:2, 1979, 108-111 Using Integrals to Evaluate Voting Power, Philip D. Straffin, Jr., 10:3, 1979, 179-191 Pictures, Probability and Paradox, Robert Nelson, 10:3, 1979, 182-190 Coin-Tossing Problem Revisited, Michael W. Chamberlain, 10:5, 1979, 349-350, C Further Observations on "A Neglected Probability Formula", Konanur G. Janardan, 11:1, 1980, 52-54, C Snowfalls and Elephants, Pop Bottles and Pi, Ralph Boas, 11:2, 1980, 82-89 Wavefronts, Box Diagrams, and the Product Rule: A Discovery Approach, John W. Dawson, Jr., 11:2, 1980, 102-106, 5.1.2 Stochastic Independence Versus Intuitive Independence, B.H.Bissinger, 11:2, 1980, 122-123, C What are the Odds?Constructing Competition Probabilities, Gerald D. Brazier, 11:5, 1980, 290-295 On Dice-Sum Frequencies, V.N.Murty, 12:3, 1981, 209-211, C, 3.2 Binomial Baseball, Eugene M. Levin, 12:4, 1981, 260-266, 9.10 An Optimal Football Strategy, Joseph A. Gallian, 12:5, 1981, 330-331, C Chain Letters: A Poor Investment Unless..., David J. Thuente, 13:1, 1982, 28-35, 3.1 The Law of Succesion and Bayes' Rule, V.N.Murty and B.H.Bissinger, 13:1, 1982, 44-51 A Visual Interpretation of Independent Events, M.G.Monzingo, 13:3, 1982, 197-198, C Probability Solution to a Limit Problem, Homer W. Austin, 13:4, 1982, 272, C, 5.1.1 Dice Tossing and Pascal's Triangle, John D. Neff, 13:5, 1982, 311-314, 7.1 Minimally Favorable Games, Michael W. Chamberlain, 14:2, 1983, 159-164, 9.10 Probabilistic Dependence Between Events, Ruma Falk and Maya Bar-Hillel, 14:3, 1983, 240-243, 9.1 Blackjack with n Decks, Philip G. Buckhiester, 14:4, 1983, 345-346, C, 7.1 Antisubmarine Warfare: Passive vs. Active Sonar, L. Whitt and K. Wilk, 14:5, 1983, 434-435, C The Distribution of First Digits, Stephen H. Friedberg, 15:2, 1984, 120-125, 9.3 Application of a Generalized Fibonacci Sequence, Curtis Cooper, 15:2, 1984, 145-146, C, 5.4.1 The Dice ProblemThen and Now, Janet Bellcourt Pomeranz, 15:3, 1984, 229-237 Probabilistic Repeating Among Some Irrationals, Robert Schmidt and Robert Lacher, 15:4, 1984, 330-332, C, 9.3 A Monte Carlo Simulation Related to the St. Petersburg Paradox, Allan J. Caesar, 15:4, 1984, 339-342, 5.4.2, 9.10 On the Probability that the Better Team Wins the World Series, James L. Kepner, 16:4, 1985, 250-256, 3.2 Teaching Elementary Probability Through its History, Sharon Kunoff and Sylvia Pines, 17:3, 1986, 210-219, 2.2 An Extension of the Birthday Problem to Exactly k Matches, Robert L. Hocking and Neil C. Schwertman, 17:4, 1986, 315-321 A Geometric Interpretation of Simpson's Paradox, A. Tan, 17:4, 1986, 340-341 Combinatorics by Coin Flippling, Joel Spencer, 17:5, 1986, 407-412, 3.1, 3.2 Cryptology: From Caesar Ciphers to Public-Key Cryptosystems, Dennis Luciano and Gordon Prichett, 18:1, 1987, 2-17, 0.1, 9.3 Positioning of Emergency Facilities in an Obstructed Traffic Grid, Jeff Cronk and Duff Howell and Keith Saints, 18:1, 1987, 34-43, 9.10 Equalizing a Two-Person Alternation Game, Robert K. Tamaki, 18:2, 1987, 134-135, C, 7.1 Bayes' Theorem, Binomial Probabilities, and Fair Numbers of Peremptory Challenges in Jury Trials, LeRoy A. Franklin, 18:4, 1987, 291-299 The Probability that the "Sum of the Rounds" Equals the "Round of the Sum", Roger B. Nelsen and James E. Schultz, 18:5, 1987, 389-396, 7.3, 9.10 Theory, Simulation and Reality, Peter Flusser, 19:3, 1988, 210-222, 7.3, 9.10 Random Walks on Z, Robert I. Jewett and Kenneth A. Ross, 19:4, 1988, 330-342, 9.5 Musical Notes, Angela B. Shiflet, 19:4, 1988, 345-347, C, 3.2, 9.2 Maybe the Price Doesn't Have to be Right: Analysis of a Popular TV Game Show, Danny W. Turner and Dean M. Young and Virgil R. Marco, 19:5, 1988, 419-421, C, 7.1 FFF #13. Where the Grass is Greener, Ed Barbeau, 21:1, 1990, 35, F (also 22:4, 1993, 308-309 and 24:2, 1993, 152) FFF #14. How to Make a Million, Ed Barbeau, 21:1, 1990, 35, F (also 22:4, 1991, 310) Chaiotic Mappings and Probability Distribtions, Paul C. Matthews and Steven H. Strogatz, 22:1, 1991, 45-47, 6.3 FFF. Marilyn's Problem, Prisoner's Paradox, Two Children, and Three Cards, Ed Barbeau, 22:4, 1991, 308, F, 7.1 (also 24:2, 1993, 149-154) FFF. Lewis Carroll, Ed Barbeau, 23:4, 1992, 305, F The Problem of the Car and Goats, Ed Barbeau, 24:2, 1993, 149-154, F On Laplace's Extension of the Buffon Needle Problem, Barry J. Arnow, 25:1, 1994, 40-43, C, 5.7.2 FFF. The Paradox of the Nontransitive Dice, Richard P. Savage, Jr., 26:1, 1995, 38, F FFF. An Update on Probability Problems References, Ed Barbeau, 26:2, 1995, 132-133, F (see also 27:1, 1996, 46) Pair Them Up! A Visual Approach to the Chung-Feller Theorem, David Callan, 26:3, 1995, 196-198 FFF #100. Getting Black Balls, Ed Barbeau, 27:2, 1996, 117, F (see also 27:3, 1996, 205) FFF #104. Three Coins in the Fountain, Francis Galton, 27:3, 1996, 204, F Capturing the Origin with Random Points: Generalizations of a Putnam Problem, Raph Howard and Paul Sisson, 27:3, 1996, 186-192, 9.7 The Game of Dreidel Made Fair, Felicia Moss Trachtenberg, 27:4, 1996, 278-281 FFF #109. Your Lucky Number is in Pi, Ed Barbeau, 27:5, 1996, 370, F A Nod to Bertrand Russell, Anthony Lo Bello, 28:2, 1997, 133, C The Average Distance Between Points in Geometric Figures, Steven R. Dunbar, 28:3, 1997, 187-197, 9.10 Tying Up Loose Ends with Probability, Cathy Liebars, 28:5, 1997, 386-388, C Singles in a Sequence of Coin Tosses, David M. Bloom, 29:2, 1998, 120-127 FFF #128. A Full House, Eric Chandler, 29:2, 1998, 134-135, F FFF #129. Meeting in a Knockout Tournament, Ed Barbeau, 29:2, 1998, 135-136, F The Mathematics of Cootie, Min Deng and Mary T. Whalen, 29:3, 1998, 222-224, C How Much Money Do You (or Your Parents) Need for Retirement?, James W. Daniel, 29:4, 1998, 278-283, 0.8 The Probability of Passing a Multiple-Choice Test, Milton P. Eisner, 29:5, 1998, 421-426, 9.10 7.3 Statistics (also see 9.10) Cauchy's Inequality and the Least Squares Line, William Stenger, 6:1, 1975, 2-4 Random Charity: A Stochastic Sieving Problem and its Connection with the Euclidean Algorithm, Roland Engdahl and Karl Greger, 6:4, 1975, 4-9 Statistical Inference for the General Education StudentIt Can Be Done, Allen H. Holmes, Walter Sanders and John LeDuc, 8:4, 1977, 223-230 The Use of Sports Data for Integrating Topics in Introductory Statistics, Robert L. Heiny, 9:1, 1978, 28-33 Classroom Demonstration of a Confidence Interval, Wayne Andrepont and Peter Dickinson, 9:1, 1978, 34-36 The Range of the Standard Deviation, Lawrence Sher, 10:1, 1979, 33, C How Close are the Mean and the Median?, Stephen A. Book, 10:3, 1979, 202-204, C An Expected Value Problem, Harris S. Schultz, 10:4, 1979, 277-278, C Why n-1 in the Formula for the Sample Standard Deviation?, Stephen A. Book, 10:5, 1979, 330-333 Bounds for the Sum of Absolute Standard Scores, Lawrence Sher, 10:5, 1979, 351-353, C CorrelationA Vector Approach, Kenneth R. Kundert, 11:1, 1980, 52, C, 5.5 An Expected Value Problem Revisited, W. J. Hall, 11:3, 1980, 204-205 An Analytic Geometry Approach to the Least Squares Line of Best Fit, Stewart Venit and Richard Katz, 11:4, 1980, 270-272, C, 0.5 A Bound for Standard Scores, Lawrence Sher, 11:2, 1980, 334-335, C A Mean Generating Function, Jack C. Slay and J.L.Solomon, 12:1, 1981, 27-29, 5.1.2 Partial and Semipartial CorrelationA Vector Approach, John Huber, 12:2, 1981, 151-153, C Another Look at the Mean, Median, and Standard Deviation, Ruma Falk, 12:3, 1981, 207-208, C Bounds for the Ratio of the Arithmetic Mean to the Geometric Mean, M. Perisastry and V.N.Murty, 13:2, 1982, 160-161, C Nearness Relations Among Measures of Central Tendency and Dispersion: Part 1, Warren Page and V.N.Murty, 13:5, 1982, 315-326 Nearness Relations Among Measures of Central Tendency and Dispersion: Part 2, Warren Page and V.N.Murty, 14:1, 1983, 8-17 Another Proof of the Inequality (n^2)(sigma)^2 From None to Infinity: Challenging Problems in Cardinality Classification, Richard L. Francis, 17:3, 1986, 226-230 The Distribution of First j Digits, S.A.Patil and V.R.R.Uppuluri, 17:3, 1986, 240-243, C Cryptology: From Caesar Ciphers to Public-Key Cryptosystems, Dennis Luciano and Gordon Prichett, 18:1, 1987, 2-17, 7.2, 0.1 Bach, 5465, and Upside-Down Numbers, Robert E. Kennedy and Curtis N. Cooper, 18:2, 1987, 111-115 Generating Functions, William Watkins, 18:3, 1987, 195-211, 6.3, 5.4.2 The Chinese Remainder Problem and Polynomial Interpolation, Isaac J. Schoenberg, 18:4, 1987, 320-322, C On Partitioning a Real Number, William Staton, 19:1, 1988, 53-54, C, 5.1.4 Mathematical Haystacks: Another Look at Repunit Numbers, Richard L. Francis, 19:3, 1988, 240-246 Involutions and Problems Involving Perimeters and Area, Joseph Wiener and Henjin Chi and Hushang Poorkarimi, 19:3, 1988, 250-252, C, 9.5 Sieving Primes on a Micro, Harley Flanders and Alan F. Tomala, 19:4, 1988, 364-367, 8.1 Amalgamation fo Formulae for Sequences, N.S.Mendelsohn, 19:5, 1988, 421-424, C Pseudorandom Number Generators and a Four-Bit Computer System, James C. Reber, 20:1, 1989, 54-55, C, 6.3, 9.10 Finding Rational Roots of Polynomials, Don Redmond, 20:2, 1989, 139-141, C, 0.7 It's Magic! Multiplication Theorems for Magic Squares, Daniel Widdis and R. Bruce Richter, 20:4, 1989, 301-306, 3.2, 9.2 Locating Multiples of Primes in Pascal's Triangle, Lawrence O. Cannon, 20:4, 1989, 324-328, C Strings of Strongly Composite Integers and Invisible Lattice Points, Peter Schumer, 21:1, 1990, 37-40, C Computer-Aided or Analytic Proof?, Herve Lehning, 21:3, 1990, 228-239 Student Research Projects: Self-esteem in Mathematics, Herbert S. Wilf, 21:4, 1990, 274-277, 1.2 Triangles with Integer Sides and Sharing Barrels, David Singmaster, 21:4, 1990, 278-285, 0.4 The Birth of the Eotvos Competition, Agnes Arvai Wieschenberg, 21:4, 1990, 286-293, 2.2 Polar Summation, Loretta McCarty, 21:5, 1990, 397-398, C Another Proof of the Irrationality of the Square Root of 2, Enzo R. Gentile, 22:2, 1991, 143, C Secrets of the Faro: Student Research Project, Irl C. Bivens, 22:2, 1991, 144-147, 9.4 The Mathematics of Identification Numbers, Joseph A. Gallian, 22:3, 1991, 194-202, 9.4 Reward of the Rings: Student Research Projects, Irl C. Bivens, 22:5, 1991, 418-420, 9.4 Summation by Parts, Gregory Fredricks and Roger B. Nelsen, 23:1, 1992, 39-44, C, 5.1.2, 5.4.1, 5.4.2 The Probability that (a, b)=1, Aaron D. Abrams and Matteo J. Paris, 23:1, 1992, 47, C Number Theory and Linear Algebra: Exact Solutions of Integer Systems, George Mackiw, 23:1, 1992, 52-58, 4.1 A Serendipitous Application of the Pythagorean Triplets, Susan Forman, 23:4, 1992, 312-314, C, 0.2 Primitive Pythagorean Triples: Student Research Project, Ernest J. Eckert, 23:5, 1992, 413-417 Sums of Triangular Numbers, Roger B. Nelsen, 23:5, 1992, 417, C Geometry: A Gateway to Understanding, Peter Hilton and Jean Pedersen, 24:4, 1993, 298-317, 0.3 Towers of Powers Modulo m, Robert J. MacG. Dawson, 25:1, 1994, 22-28 Eisenstein's Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem, Reinhard C. Laubenbacher and David J. Pengelley, 25:1, 1994, 29-34 Frequencies of Digits in Factorials: An Experimental Approach, Michael L. Treuden, 25:1, 1994, 48-55 Euclid's (Gaussian) Algorithm: A Lattice Approach, Steve Benson, 25:2, 1994, 118-124 Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel, 25:2, 1994, 139-142, C, 0.2, 4.5, 5.4.2, 9.5 Sums of Odd Squares, Roger B. Nelsen, 25:3, 1994, 246, C Prime Number Records, Paulo Ribenboim, 25:4, 1994, 280-290 Investigation of a Recurrence Relation: Student Research Project, Dmitri Thoro and Linda Valdes, 25:4, 1994, 322-324, 3.2, 6.3 A Mathematica'l Magic Trick, Stan Wagon, 25:4, 1994, 325-326, C FFF #79. A Divisibility Property, Ed Barbeau, 25:5, 1994, 433, F FFF #82. Why Wiles' Proof of the Fermat Conjecture is False, Ed Barbeau, 25:5, 1994, 434-435, F, 9.7 The Repeating Integer Paradox, Paul Fjelstad, 26:1, 1995, 11-15 A Taylor-made Plug for Wiles' Proof, Nigel Boston, 26:2, 1995, 100-105 More Mathematical Gems, Ross A. Honsberger, 26:4, 1995, 281-283, 9.5 A Surprise Regarding the Equation phi(x) = 2(6n+1), Joseph B. Dence and Thomas P. Dence, 26:4, 1995, 297-301 Exploring Fibonacci Numbers Mod M, Jack Ryder, 27:2, 1996, 122-124, C, 3.3 The Square of Any Odd Number is the Difference Between Two Triangular Numbers (Proof Without Words), Roger B. Nelsen, 27:2, 1996, 118, C, 0.1 Fractions with Cycling Digit Patterns, Dan Kalman, 27:2, 1996, 109-115, 0.1 Pythagorean Triples: The Hyperbolic View, Raymond A. Beauregard and E. R. Suryanarayan, 27:3, 1996, 170-181, 9.4 FFF #108. All Perfect Numbers Are Even, Ari Turner, 27:4, 1996, 283, F Generalizations of a Mathematical Olympiad Problem, Joe Klerlein and Scott Sportsman, 27:4, 1996, 296-297, 3.2 Three Applications of a Familiar Formula, Robert A. Fontenot, 27:5, 1996, 356-360 Periodic Points of the Difference Operator, Chris Bernhardt and Thomas Yuster, 2:1, 1997, 20-26 Digital Permutations, Bryan Dawson, 28:1, 1997, 26, C A Long Sequence of Composite Numbers, Ed Pegg, Jr., 28:2, 1997, 121, C Fibonacci Powers and a Fascinating Triangle, Dale K. Hathaway and Stephen L. Brown, 28:2, 1997, 124-128, C, 3.3, 6.3 Two Identities for Triangular Numbers (proof by picture), Roger B. Nelsen, 28:3, 1997, 197, C On Dividing Coconuts: A Linear Diophantine Problem, Sahib Singh and Dip Bhattacharya, 28:3, 1997, 203-204, C, 5.4.3 Are There Functions That Generate Prime Numbers?, Paulo Ribenboim, 28:5, 1997, 352-359 The Brahmagupta Triangles, Raymond A. Beauregard and E. R. Surynarayan, 29:1, 1998, 13-17, 0.4 A Class of Pleasing Periodic Designs, Federico Fernandez, 29:1, 1998, 18-26, 4.3, 9.4 Making Squares from Pythagorean Triangles, Charles Jepsen and Roc Yang, 29:4, 1998, 284-288, 9.7 On Factoring n with the b-algorithm, Vincent Lucarelli, 29:4, 1998, 289-295 Egyptian Fractions and the Inheritance Problem, Premchand Anne, 29:4, 1998, 296-300 More Coconuts, Sidney H. Kung, 29:4, 1998, 312-313, C, 0.1 9.4 Abstract algebra A Condition Equivalent to Associativity for Finite Groups, Roy Dobyns, 3:1, 1972, 10-13 Sneaking Up On a Group, Jean J. Pedersen, 3:2, 1972, 9-12 Complex Numbers as Residue Classes of Polynomials mod(x^2+1), Rosemary Schmalz, S.P., 3:2, 1972, 78-80, C Rings, Subrings, Identities and Homomorphisms, Pasquale J. Arpaia, 5:1, 1974, 25-28 An Alternative to Euclidean Algorithm, Sidney H. L. Kung, 5:2, 1974, 8-11 A Finite FieldA Finite Geometry and Triangles, Marc Swadener, 5:3, 1974, 22-26, 0.3 Factoring Functions and Relations, Thomas J. Brieske, 6:3, 1975, 8-12, 1.2 Exploring the Gaussian Integers, Robert G. Stein, 7:4, 1976, 4-10 An Algorithm and Its Connection with Abelian Groups, W.G.Leavitt, 7:2, 1976, 16-21 Counterexamples from the Algebra of Polynomials over a Nonfield, Janet B. Pomeranz, 8:1, 1977, 11-14 Can This Polynomial Be Factored?, Harold L. Dorwart, 8:2, 1977, 67-72, 0.7 An Arithmetic Description of the Dihedral Group, L. N. Somanchi, 11:5, 1980, 327-329, C Compounding Energy Savings, Leo Chosid, 12:1, 1981, 56-57, C, 0.8 Vector Identities from Quaternions, William C. Schultz, 12:4, 1981, 271-273, C, 5.5 Constructing "Different" Examples for Beginning Abstract Algebra Students, Eddie Boyd, Jr., 12:5, 1981, 333-334, C Teaching Mathematics with Rubik's Cube, Tom Davis, 13:3, 1982, 178-185 Isomorphisms on Magic Squares, Ali R. Amir-Moez, 14:1, 1983, 48-51, 0.2, 5.4.1, 9.2, 9.3 Doubling: Real, Complex, Quaternion and Beyond ... Well, Maybe, Robert C. Moore, 17:4, 1986, 342-343, C Generating Posets, Harley Flanders, 18:4, 1987, 323-327, 8.2 Is the Distributive Property Redundant?, Douglas L. Cashing, 18:5, 1987, 402-403, C Rencontres Reencountered, Karl David, 19:2, 1988, 133-148, 3.2 Codes that Detect and Correct Errors, Chester J. Salwach, 19:5, 1988, 402-416, 9.5 Simple Groups (poem), Anonymous, 20:1, 1989, 26 A Complete Solution to the Magic Hexagram Problem, Harold Reiter and David Ritchie, 20:4, 1989, 307-316, 9.2 Minimum Dimension for a Square Matrix of Order n, Robert Hanson, 21:1, 1990, 28-34, 4.1 A Zero-Row Reduction Algorithm for Obtaining the gcd of Polynomials, Sidney H. Kung and Yap S. Chua, 21:2, 1990, 138-141, 0.7, 4.1 FFF #21. Groups with Separate Identities, Ed Barbeau, 21:3, 1990, 217, F (also 21:5, 1990, 396) FFF #22. The Least Common Multiple Order, Ed Barbeau, 21:3, 1990, 217, F (also 21:5, 1990, 396) Binary Operations, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:3, 1990, 240-241, C, 9.11 Secrets of the Faro: Student Research Project, Irl C. Bivens, 22:2, 1991, 144-147, 9.3 The Mathematics of Identification Numbers, Joseph A. Gallian, 22:3, 1991, 194-202, 9.3 FFF #43. The Number of Conjugates of a Group Element, Ed Barbeau, 22:3, 1991, 222, F Coset Products in Rings: Student Research Projects, Dennis Kletzing, 22:4, 1991, 323-326 FFF #48. All Groups are Simple, Ed Barbeau, 22:5, 1991, 404, F Reward of the Rings: Student Research Projects, Irl C. Bivens, 22:5, 1991, 418-420, 9.3 A Number-Theoretic Approach to Counting Subgroups of Dihedral Groups: Student Research Project, David W. Jensen and Eric R. Bussian, 23:2, 1992, 150-152 FFF #55. Even and Odd Permutations, Ed Barbeau, 23:3, 1992, 204, F, 4.2 (also 23:4, 1992, 305 and 24:4, 1993, 346) A Sliding Block Problem: Student Research Project, George T. Gilbert and Loren C. Larson, 23:4, 1992, 315-319 FFF #80. Factoring Homogeneous Polynomials, John Webb and Graeme West, 25:5, 1994, 433, F Visualizing the Group Homomorphism Theorem, Robert C. Moore, 26:2, 1995, 143, C Card Shuffling in Discrete Mathematics, Steve M. Cohen and Paul R. Coe, 26:3, 1995, 224-227, C, 3.3 FFF #90. The Impossibility of Angle Bisection, Eric Chandler, 26:4, 1995, 302, F Computing in Abstract Algebra, George Mackiw, 27:2, 1996, 136-142 Pythagorean Triples: The Hyperbolic View, Raymond A. Beauregard and E. R. Suryanarayan, 27:3, 1996, 170-181, 9.3 FFF #105. The Remainder Theorem, Richard Laatsch, 27:4, 1996, 282, F, 0.2 The Generalized Spectral Decomposition of a Linear Operator, Garret Sobczyk, 28:1, 1997, 27-38, 4.6 Adventure Games, Permutations, and Spreadsheets, Paul Vodola, 28:4, 1997, 301-309 A Class of Pleasing Periodic Designs, Federico Fernandez, 29:1, 1998, 18-26, 4.3, 9.3 An Application of Elementary Group Theory to Central Solitaire, Arie Bialostocki, 29:3, 1998, 208-212 Prelude to Musical Geometry, Brian J. McCartin, 29:5, 1998, 354-370, 0.3, 9.7 9.5 Analysis On the Sum of Two Periodic Functions, John M. H. Olmsted and Carl G. Townsend, 3:1, 1972, 33-38 The Quadratic Polynomial and Its Zeroes, C. A. Long, 3:2, 1972, 23-29, 5.1.5 On the Use of Functions, William E. Hartnett, 3:2, 1972, 25-28, 9.8 A Geometric Approach to the Orders of Infinity, Harold L. Schoen, 3:2, 1972, 74-76, C, 0.2 A Construction of the Real Numbers, E.A.Maier and David Maier, 4:1, 1973, 31-35 Riemann Integration in Ordered Fields, John M. Olmsted, 4:2, 1973, 34-40 A Further Note on the Orders of Infinity, Harold L. Schoen, 5:1, 1974, 80-81, C, 0.2 A Linear Integral Transform with a Simple Kernel, Walter W. Bolton and Sterling C. Crim, 6:1, 1975, 5-7 The Countability of the Rationals Revisited, Keith Gant and Dean B. Priest, 6:3, 1975, 41-42, C An Interesting Use of Generating Functions, Aron Pinker, 6:4, 1975, 39-45, 0.6, 5.4.2 Can the Complex Numbers Be Ordered?, Richard C. Weimer, 7:4, 1976, 10-12 Newton's Inequality and a Test for Imaginary Roots, Carl G. Wagner, 8:3, 1977, 145-147 Another Proof of the Arithmetic-Geometric Mean Inequality, Elmar Zemgalis, 10:2, 1979, 112-113, C The Generalized Arithmetic-Geometric Mean Inequality, David H. Anderson, 10:2, 1979, 113-114, C Testing a Graph's Symmetry, V.N.Murty, 10:2, 1979, 116-117, C A Note on the Cauchy-Schwartz Inequality, Jack C. Slay and J.L.Solomon, 10:4, 1979, 280-281, C A Rational Approximation to SQR(n), Carl P. McCarty, 11:2, 1980, 123-124, C Extending Bernoulli's Inequality, Ervin Y. Rodin, 11:2, 1980, 124-125, C Elementary Derivation of a Formula for Approximating n!, David H. Anderson, 11:3, 1980, 201-202, C A Quick Test for Rational Roots of a Polynomial, Leo Chosid, 11:3, 1980, 205-206, C, 0.7 How Close are the Riemann Sums to the Integral They Approximate?, V.N.Murty, 11:4, 1980, 268-270, C Altitudes ad Infinitum, Martin Berman, 11:5, 1980, 300-304 Uniqueness of Power Series Representations, Garfield C. Schmidt, 12:1, 1981, 54-56, C, 5.4.2 Applying Complex Arithmetic, Herbert L. Holden, 12:3, 1981, 190-194, 0.6, 5.3.1, 9.3 Corrections to an Earlier Capsule, Richard Johnsonbaugh, 12:3, 1981, 204-206, C A Note on Parallel Curves, Allan J. Kroopnick, 13:1, 1982, 59-61, C Continued Fractions and Iterative Processes, Jean H. Bevis and Jan L. Boal, 13:2, 1982, 122-127, 0.7 Still Another Proof of the Arithmetic-Geometric Mean Inequality, Norman Schaumberger, 13:2, 1982, 159-160, C Power Series for Practical Purposes, Ralph Boas, 13:3, 1982, 191-195, 5.4.2 A First Course in Continuous Simulation, Richard Bronson, 13:5, 1982, 300-310, 1.2 Products of Sets of Complex Numbers, Byron L. McAllister, 14:5, 1983, 390-397 Mean Inequalities, Frank Burk, 14:5, 1983, 431-434, C Convexity in Elementary Calculus: Some Geometric Equivalences, Victor A. Belfi, 15:1, 1984, 37-41 Income Tax Averaging and Convexity, Michael Henry and G.E.Trapp, Jr., 15:3, 1984, 253-255, 0.8, 5.1.5, 5.7.1 The Maximum and Minimum of Two Numbers Using the Quadratic Formula, Dan Kalman, 15:4, 1984, 329-330, C, 5.1.4 Income Averaging Can Increase Your Tax Liability, Gino T. Fala, 16:1, 1985, 53-55, C, 0.8 Picturing Functions of a Complex Variable, Bart Braden, 16:1, 1985, 63-73 Geometrically Asymptotic Curves, Dan Kalman, 16:3, 1985, 199-206, 5.1.5 Graphing the Complex Roots of a Quadratic Equation, Floyd Vest, 16:4, 1985, 257-261, 0.2, 0.7 On Hypocycloids and their Diameters, I.J.Schoenberg, 16:4, 1985, 262-267, 5.6.1 Relating Differentiability and Uniform Continuity, Irl C. Bivens and L.R.King, 16:4, 1985, 283, C Why is a Restaurant's Business Worse in the Owner's Eyes Than in the Customers'?, Wong Ngoi Ying, 18:4, 1987, 315-316, C Another Proof of the Inequality Between Power Means, Norman Schaumberger, 19:1, 1988, 56-58, C A General Form of the Arithmetic-Geometric Mean Inequality via the Mean Value Theorem, Norman Schaumberger, 19:2, 1988, 172-173, C, 5.1.2 Parameter-generated Loci of Critical Points of Polynomials, F. Alexander Norman, 19:3, 1988, 223-229, 0.7, 5.1.5 A Classroom Approach to Involutions, Joseph Wiener and Will Watkins, 19:3, 1988, 247-250, C Involutions and Problems Involving Perimeters and Area, Joseph Wiener and Henjin Chi and Hushang Poorkarimi, 19:3, 1988, 250-252, C, 9.3 A Discrete l'Hopital's Rule, Xun-Cheng Huang, 19:4, 1988, 321-329, 5.1.1 Random Walks on Z, Robert I. Jewett and Kenneth A. Ross, 19:4, 1988, 330-342, 7.2 Bounds on the Perimeter of an Ellipse via Minkowski Sums, Richard E. Pfiefer, 19:4, 1988, 348-350, C Equivalent Inequalities, Jim Howard and Joe Howard, 19:4, 1988, 350-352, C Looking at the Mandelbrot Set, Mark Bridger, 19:4, 1988, 353-363, 9.8 Codes that Detect and Correct Errors, Chester J. Salwach, 19:5, 1988, 402-416, 9.4 The Fundamental Periods of Sums of Periodic Functions, James Caveny and Warren Page, 20:1, 1989, 32-41, 0.6 Another Proof of Jensen's Inequality, Norman Schaumberger and Bert Kabak, 20:1, 1989, 57-58, C Graphing the Complex Zeros of Polynomials Using Modulus Surfaces, Clff Long and Thomas Hern, 20:2, 1989, 98-105, 0.7, 5.1.5 The Curious Fate of an Applied Problem, Alan H. Schoenfeld, 20:2, 1989, 115-123, 5.1.5, 8.3 Another Proof of Chebysheff's Inequality, Norman Schaumberger, 20:2, 1989, 141-142, C Subharmonic Series, Arthul C. Sogal, 20:3, 1989, 194-200, 5.4.2 Two Elementary Proofs of an Inequality (and 1 1/2 Better Ones), William C. Waterhouse, 20:3, 1989, 201-205 The Root Mean SquareArithmetic MeanGeometric MeanHarmonic Mean Inequality, Roger B. Nelsen, 20:3, 1989, 231, C, 0.4 Evolution of the Function Concept: A Brief Survey, Israel Kleiner, 20:4, 1989, 282-300, 2.2 The AM-GM Inequality via x^(1/x), Norman Schaumberger, 20:4, 1989, 320, C Discrete Dirichlet Problems, Convex Coordinates, and a Random Walk on a Triangle, J.N.Boyd and P.N.Raychowdhury, 20:5, 1989, 385-392 FFF #9. The Countability of the Reals, Ed Barbeau, 20:5, 1989, 403, F, 9.1 FFF # 10. The Uncountability of the Plane, Ed Barbeau, 20:5, 1989, 403-404, F, 9.1 Power Series and Exponential Generating Functions, G. Ervynck and P. Igodt, 20:5, 1989, 411-415, C, 5.4.2 Generalizations of a Complex Number Identity, M.S.Klamkin and V.N.Murty, 20:5, 1989, 415-416, C A Generalization of the limit of [(n!)^(1/n)]/n = e^(-1), Norman Schaumberger, 20:5, 1989, 416-418, C, 5.1.1 FFF #15. Another Proof that 1 = 0, Ed Barbeau, 21:1, 1990, 36, F (also 21:2, 1990, 128) Ways of Looking at n!, Diane Johnson and Roy Dowling, 21:3, 1990, 219-220, C Harmonic, Geometric, Arithmetic, Root Mean Inequality, Sidney Kung, 21:3, 1990, 227, C, 0.4 Tabular Integration by Parts, David Horowitz, 21:4, 1990, 307-313, C, 5.2.5, 5.4.2 The Cauchy Integral Formula, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:4, 1990, 327-329, C A Chaotic Search for i, Gilbert Strang, 22:1, 1991, 3-12, 6.3, 5.1.3 FFF #29. A Simple Description of Sets of Reals, Ed Barbeau, 22:1, 1991, 39, F FFF #30. Is There a Nonmeasurable Set?, Ed Barbeau, 22:1, 1991, 39, F FFF #31. Is There a Nonmeasurable Set (Part 2)?, Ed Barbeau, 22:1, 1991, 40, F FFF #32. A Function Continuous only on the Rationals, Ed Barbeau, 22:1, 1991, 40, F (Also 23:3, 1992, 204) The Root-Finding Route to Chaos, Richard Parris, 22:1, 1991, 48-55, 6.3, 5.4.1 Fractals Illustrate the Mathematical Way of Thinking, Yves Nievergelt, 22:1, 1991, 60-64, C Sofware Review: Chaos and Fractal Software, Jonathan Choate, 22:1, 1991, 65-69, 6.3, 6.7 Another Proof of a Familiar Inequality, Norman Schaumberger, 22:3, 1991, 229-230, C FFF #51. The Converse to Euler's Theorem on Homogeneous Functions, Ed Barbeau, 23:1, 1992, 37-38, F FFF #52. An Application of the Cauchy-Schwartz Inequality, Ed Barbeau, 23:2, 1992, 142, F, 0.2 FFF #53. Opening the Floodgates, Ed Barbeau, 23:2, 1992, 142-143, F Weighted Means of Order r and Related Inequalities: An Elementary Approach, Francois Dubeau, 23:3, 1992, 211-213, C FFF. Surjective Functions, Ed Barbeau, 23:4, 1992, 305, F Inverse Problems and Torricelli's Law, C.W.Groetsch, 24:3, 1993, 210-217, 9.10 Local Conditions for Convexity and Upward Concavity, Donald Francis Young, 24:3, 1993, 224-228 Six Ways to Sum a Series, Dan Kalman, 24:5, 1993, 402-421, 5.4.3 Strictly Increasing Differentiable Functions, Massimo Furi and Mario Martelli, 25:2, 1994, 125-127 Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel, 25:2, 1994, 139-142, C, 0.2, 4.5, 5.4.2, 9.3 The Chebyshev Inequality for Positive Monotone Sequences, Roger B. Nelsen, 25:3, 1994, 192, C Extending Bernoulli's Inequality, Ronald L. Persky, 25:3, 1994, 230, C, 0.2 An Optimization Oddity, R. H. Eddy and R. Fritsch, 25:3, 1994, 227-229, C, 5.1.4 Cutting Corners: A Four-gon Conclusion, S. C. Althoen and K. E. Schilling and M. F. Wyneken, 25:4, 1994, 266-279, 0.4, 0.5 Leibniz and the Spell of the Continuous, Hardy Grant, 25:4, 1994, 291-294, 2.2 A New Look at an Old Function, e to the i theta, J. G. Simmonds, 26:1, 1995, 6-10 Continuity on a Set, R. Bruce Crofoot, 26:1, 1995, 29-30 Can We See the Mandelbrot Set?, John Ewing, 26:2, 1995, 90-99, 6.3 FFF #88. A Consequence of the Nearness of Rationals to Reals, Mark Lynch, 26:3, 1995, 221, F (see also 28:4, 1997, 286-287) The Hyperbolic Number Plane, Garret Sobczyk, 26:4, 1995, 268-280, 0.7 More Mathematical Gems, Ross A. Honsberger, 26:4, 1995, 281-283, 9.3 The Mean of the Squares Exceeds the Square of the Means (Proof Without Words), Roger B. Nelsen, 26:5, 1995, 368, C Recursive Formulas for zeta(2k) and the Dirichlet function L(2k-1), Xuming Chen, 26:5, 1995, 372-376 A Complex Approach to the Laws of Sines and Cosines, William V. Grounds, 27:2, 1996, 108, C, 0.6 Why Polynomials Have Roots, Javier Gomez-Calderon and David M. Wells, 27:2, 1996, 90-94, 5.1.2, 5.7.1 A Terminally Discontinuous Function, James L. Hartman, 27:3, 1996, 211-212, C A Serendipitous Encounter with the Cantor Ternary Function, L. F. Martins and I. W. Rodrigues, 27:3, 1996, 193-198 FFF #107. All Complex Numbers Are Real, Walter Reno, 27:4, 1996, 283, F Dynamic Function Visualization, Mark Bridger, 27:5, 1996, 361-369, 5.1.5, 5.8 Countability via Bases Other Than 10, Pat Touhey, 27:5, 1996, 382-384, C When Is a Function's Inverse Equal to Its Reciprocal?, Robert Anschuetz II and H. Sherwood, 27:5, 1996, 388-393 An Application of Elementary Geometry in Functional Analysis, Ji Gao, 28:1, 1997, 39-42, 0.4 A Proof that Polynomials Have Roots, Uwe F. Mayer, 28:1, 1997, 58, C FFF #116. Life at Infinity and Beyond, Albert Eagle, 28:3, 1997, 198-199, F Exploiting a Factorization of xn-yn, Richard E. Bayne, James E. Joseph, Myung H. Kwack, and Thomas H. Lawson, 28:3, 1997, 206-209, C The World's Biggest Taco, David D. Bleecker and Lawrence J. Wallen, 29:1, 1998, 2-12, 5.2.7, 5.3.4 The Fundamental Theorem of Algebra, Michael D. Hirschhorn, 29:4, 1998, 276-277 Galileo’s Ratios (Proof Without Words), Alfinio Flores, 29:4, 1998, 300, C FFF #131. A New Identity for the Ceiling Function, Ed Barbeau, 29:4, 1998, 302, F 9.6 Numerical analysis The Delta Method Approximates the Roots of Polynomial Equations, Joseph J. Ettl, 5:2, 1974, 19-20, 0.7 The Interpolating Polynomial, Roger G. Lindley, 5:2, 1974, 21-31, 0.7 Computer Computation of Integrals, Arne Broman, 5:4, 1974, 4-11 An Integral Approximation Exact for Fifth-Degree Polynomials, Burt M. Rosenbaum, 7:3, 1976, 10-14, 5.2.2 Finding Super Accurate Integers, Pasquale Scopelliti and Herbert Peebles, 7:3, 1976, 52-54, 0.2 Remarks Concerning the Delta Method for Approximating Roots, Stewart M. Venit, 7:4, 1976, 1-3 Interpolation and Square Roots, James E. McKenna, 7:4, 1976, 49-50, C Salvaging a Broken Line, Glenn D. Allinger, 8:1, 1977, 47-50 A New Look at Some Old Problems in Light of the Hand Calculator, J.E.Schultz and B.K.Waits, 10:1, 1979, 20-27, 0.8 Calculator-Demonstrated Math Instruction, George McCarty, 11:1, 1980, 42-48, 5.1.1, 5.2.2, 5.4.2 Bezier Polynomials in Computer-Aided Geometric Design, Cliff Long and Vic Norton, 11:5, 1980, 320-325 Fixed Point IterationAn Interesting Way to Begin a Calculus Course, Thomas Butts, 12:1, 1981, 2-7, 1.2, 5.1.1 The Electronic Spreadsheet and Mathematical Algorithms, Deane E. Arganbright, 15:2, 1984, 148-157, 4.1, 5.4.1, 7.3 An Almost Correct Series, R.A.Mureika and R.D.Small, 15:4, 1984, 334-338, C, 5.4.2 The Bisection Algorithm is Not Linearly Convergent, Sui-Sun Cheng and Tzon-Tzer Lu, 16:1, 1985, 56-57, C, 0.7 Nested Polynomials and Efficient Exponential Algorithms for Calculators, Dan Kalman and Warren Page, 16:1, 1985, 57-60, C, 0.2 Rediscovering Taylor's Theorem, Dan Kalman, 16:2, 1985, 103-107 Ill-Conditioning: A Constant Surprise in Computational Mathematics, Bruce H. Edwards and Patricia L. Sharpe, 16:2, 1985, 141-148 Computing Large Factorials, Gerard Kiernan, 16:5, 1985, 403-412, 9.3 How Far Can You Stick Out Your Neck?, Sydney C. K. Chu and Man-Keung Siu, 17:2, 1986, 122-132, 5.4.2 An Interview with George B. Dantzig: The Father of Linear Programming, Donald J. Albers and Constance Reid, 17:4, 1986, 292-304, 2.3 Controlling Roundoff Errors in Sums, Harley Flanders, 18:2, 1987, 153-156, 8.1 A Clamped Simpson's Rule, James A. Uetrecht, 19:1, 1988, 43-52, 5.2.2 An Efficient Logarithm Algorithm for Calculators, James C. Kirby, 19:3, 1988, 257-260, C, 5.3.2 What's Significant about a Digit?, David A. Smith, 20:2, 1989, 136-139, C, 0.1 A Rich Differential Equation for Computer Demonstrations, Bernard W. Banks, 21:1, 1990, 45-50, 6.4, 6.5 Connecting the Dots Parametrically: An Alternative to Cubic Splines, Wilbur J. Hildebrand, 21:3, 1990, 208-215, 4.6, 5.6.1 Some Examples Illustrating Richardson's Improvement, Stephen Schonefeld, 21:4, 1990, 314-322 Using Fourier Analysis in Digital Signal Processing, Lyndell M. Kerley and William P. Dotson, 23:4, 1992, 320-328 Interpolating Polynomials and Their Coordinates Relative to a Basis, David R. Hill, 23:4, 1992, 329-333, C Iterative Methods in Introductory Linear Algebra, Donald R. LaTorre, 24:1, 1993, 79-88, 4.1, 4.5 Complex Vectors and Image Identification, Lyndell Kerley and Jeff Knisley, 24:2, 1993, 166-174, 8.3 Fitting a Logistic Curve to Data, Fabio Cavallini, 24:3, 1993, 247-253, 9.10 Angle Trisection by Fixed Point Iteration, L. F. Martins and I. W. Rodrigues, 26:3, 1995, 205-208, 0.3 Numerical Methods for Improper Integrals, Gerald Flynn, 26:4, 1995, 284-291, 5.2.10 Cubic Splines from Simpson's Rule, Nishan Krikorian and Mark Ramras, 27:2, 1996, 124-126, C, 5.2.2 Gaussian Elimination and Dynamical Systems, Kathie Yerion, 28:2, 1997, 89-97, 4.6 9.7 Modern and non-Euclidean geometry Finite Euclidean Geometries of Order p, Hilda Duncan and David Emery, 8:1, 1977, 4-10 The Motion Geometry of a Finite Plane, Tom Brieske and Johnny Lott, 9:4, 1978, 259-260 Convex Coordinates, Probabilities, and the Superposition of States, J.N.Boyd and P.N.Raychowdhury, 18:3, 1987, 186-194, 4.2 On the Radial Packing of Circles in the Plane, P.D.Weidman and K. Pfendt, 21:2, 1990, 112-120, 0.4 Two Trisectrices for the Price of One Rolling Coin, Jack Eidswick, 24:5, 1993, 422-430, 0.3, 0.4 Investigating Circles in the Poincare Disk Using Geometer's Sketchpad, Bill Juraschek, 25:2, 1994, 145-154 FFF #82. Why Wiles' Proof of the Fermat Conjecture is False, Ed Barbeau, 25:5, 1994, 434-435, F, 9.3 Kepler, the Taxicab Metric, and Beyond: An Isoperimetric Primer, Lawrence J. Wallen, 26:3, 1995, 178-190 The Moise Plane, James R. Boone, 27:3, 1996, 182-185, 0.3 Capturing the Origin with Random Points: Generalizations of a Putnam Problem, Raph Howard and Paul Sisson, 27:3, 1996, 186-192, 7.2 Polishing the Star, Cheng-Syong Lee, 29:2, 1998, 144-145, C Making Squares from Pythagorean Triangles, Charles Jepsen and Roc Yang, 29:4, 1998, 284-288, 9.3 Prelude to Musical Geometry, Brian J. McCartin, 29:5, 1998, 354-370, 0.3, 9.4 9.8 Topology and differential geometry One-Sided Surfaces and Orientability, John W. Woll, Jr., 2:1, 1971, 5-18 On the Use of Functions, William E. Hartnett, 3:2, 1972, 25-28, 9.5 Approximations of Square Roots, Leon Wejntrob, 14:5, 1983, 427-430, 0.2, 0.7 The Fractal Geometry of Mandelbrot, Anthony Barcellos, 15:2, 1984, 98-114, 0.4 Antoine's Necklace or How to Keep a Necklace From Falling Apart, Beverly L. Brechner and John C. Mayer, 19:4, 1988, 306-320 Looking at the Mandelbrot Set, Mark Bridger, 19:4, 1988, 353-363, 9.5 FFF #33. A Topological Spoof, Ed Barbeau, 22:1, 1991, 41, F (also 22:5, 1991, 405) Zorn's Llama (cartoon), David Egley, 22:3, 1991, 234, C FFF. The Continuum Hypothesis, Ed Barbeau, 24:4, 1993, 346, F Independence of Path and All That, Robert E. Terrell, 27:4, 1996, 272-276, 5.7.3 Mobius or Almost Mobius, Cliff Long, 27:4, 1996, 277, C Visualizing the Geometry of Lissajous Knots, John Meier and Jessica Wolfson, 28:3, 1997, 211-216, 5.6.1 Numerically Parametrizing Curves, Steven Wilkinson, 29:2, 1998, 104-119, 5.6.1, 5.6.2 Looking at Order of Integration and a Minimal Surface, Thomas Hern and Cliff Long and Andy Long, 29:2, 1998, 128-133, 5.7.2 9.9 Operations research, including linear programming A Strategy for a Class of Games, R.S.Pierce, 2:2, 1971, 55-62 A Coin Game, Thomas P. Dence, 8:4, 1977, 244-246, 5.4.2, 9.10 The Mathematics of Tucker: A Sampler, Albert W. Tucker, 14:3, 1983, 228-232, 4.1, 9.10 Three Person Winner-Take-All Games with McCarthy's Revenge Rule, Philip D. Straffin, Jr., 16:5, 1985, 386-394 A Division Game: How Far Can You Stretch Mathematical Induction?, William H. Ruckle, 18:3, 1987, 212-218, 0.9, 3.2 The Simplex Method of Linear Programming on Microcomputer Spreadsheets, Frank S.T.Hsiao, 20:2, 1989, 153-160, 1.2 A Tool for Teaching Linear Programming within MATLAB, David R. Hill, 21:1, 1990, 55-56, C, 4.1 Optimal Locations, Bennett Eisenberg and Samir Khabbaz, 23:4, 1992, 282-289, 0.4, 3.1 Integer Programming, Joe F. Wampler and Stephen E. Newman, 27:2, 1996, 95-100 Presenting the Kuhn-Tucker Conditions Using a Geometric Approach, Patrick J. Driscoll and William P. Fox, 27:2, 1996, 101-108, 5.7.1 How to Pump a Swing, Stephen Wirkus and Richard Rand and Andy Ruina, 29:4, 1998, 266-275, 6.6 9.10 Mathematical modelling and simulation A Program for Keno, Karl J. Smith, 3:2, 1972, 16-20, 7.1 Dividing Inheritances, Howard E. Reinhardt, 4:2, 1973, 30-33 A Geometric Approach to Linear Programming in the Two-Year College, Pat Semmes, 5:1, 1974, 37-40, 0.2 Some Applications of Modeling in Mathematics for Two-Year Colleges, Robert S. Fisk, 6:4, 1975, 10-13 What is an Application of Mathematics?, Clifford Sloyer, 7:3, 1976, 19-26, 5.1.4 Some Effects of Rationing, James A. Burns, 8:4, 1977, 203-206 A Coin Game, Thomas P. Dence, 8:4, 1977, 244-246, 5.4.2, 9.9 An Environmental Problem, Roland H. Lamberson, 8:4, 1977, 252-253 Biorythms: A Computer Program, James G. Troutman, 9:2, 1978, 101-103 Foresight-Insight-Hindsight, James C. Frauenthal and Thomas L. Saaty, 10:4, 1979, 245-254 Binomial Baseball, Eugene M. Levin, 12:4, 1981, 260-266, 7.2 Minimally Favorable Games, Michael W. Chamberlain, 14:2, 1983, 159-164, 7.2 The Mathematics of Tucker: A Sampler, Albert W. Tucker, 14:3, 1983, 228-232, 4.1, 9.9 A Monte Carlo Simulation Related to the St. Petersburg Paradox, Allan J. Caesar, 15:4, 1984, 339-342, 5.4.2, 7.2 Differential Equations and the Battle of Trafalgar, 16:2, 1985, 98-102, 6.1, 6.2 Harvesting a Grizzly Bear Population, Michael Caulfield and John Kent and Daniel McCaffery, 17:1, 1986, 34-46, 4.1, 4.6 The Problem of Managing a Strategic Reserve, David Cole and Loren Haarsma and Jack Snoeyink, 17:1, 1986, 48-60, 5.1.4, 6.1 How to Balance a Yardstick on an Apple, Herbert R. Bailey, 17:3, 1986, 220-225, 6.5 Facility Location Problems, Fred Buckley, 18:1, 1987, 24-32, 3.1 Positioning of Emergency Facilities in an Obstructed Traffic Grid, Jeff Cronk and Duff Howell and Keith Saints, 18:1, 1987, 34-43, 7.2 Transitions, Jeanne L. Agnew and James R. Choike, 18:2, 1987, 124-133, 0.7, 5.1.3, 5.6.1 The Probability that the "Sum of the Rounds" Equals the "Round of the Sum", Roger B. Nelsen and James E. Schultz, 18:5, 1987, 390-396, 7.2, 7.3 Constructing a Map from a Table of Intercity Distances, Richard J. Pulskamp, 19:2, 1988, 154-163, 3.1, 4.5 Theory, Simulation and Reality, Peter Flusser, 19:3, 1988, 210-222, 7.2, 7.3 Ties at Rotation, Howard Lewis Penn, 19:3, 1988, 230-239, 3.2 Pseudorandom Number Generators and a Four-Bit Computer System, James C. Reber, 20:1, 1989, 54-55, C, 6.3, 9.3 Spiders, Computers, and Markov Chains, Jim R. Ridenhour, 21:4, 1990, 323-326, 8.1 Discrete Dynamical Modeling, James T. Sandefur, 22:1, 1991, 13-22, 6.3 The Orbit Diagram and the Mandelbrot Set, Robert L. Devaney, 22:1, 1991, 23-38, 6.3 Theory vs. Computation in Some Very Simple Dynamical Systems, Larry Blaine, 22:1, 1991, 42-44, C, 6.3 Using Simulation to Study Linear Regression, LeRoy A. Franklin, 23:4, 1992, 290-295, 7.3 A Random Ladder Game: Permutations, Eigenvalues, and Convergence of Markov Chains, Lester H. Lange and James W. Miller, 23:5, 1992, 373-385, 4.1, 4.5 Does What Goes Up Take the Same Time to Come Down?, P. Glaister, 24:2, 1993, 155-158, C, 5.2.3 Inverse Problems and Torricelli's Law, C.W.Groetsch, 24:3, 1993, 210-217, 9.5 The Best Shape for a Tin Can, P.L.Roe, 24:3, 1993, 233-236, C, 5.1.4 Fitting a Logistic Curve to Data, Fabio Cavallini, 24:3, 1993, 247-253, 9.6 Determining Sample Sizes for Monte Carlo Integration, David Neal, 24:3, 1993, 254-262, C, 5.2.2, 7.3 Quenching a Thirst with Differential Equations, Martin Ehrismann, 25:5, 1994, 413-418, 6.4 A Progression of Projectiles: Examples from Sports, Roland Minton, 25:5, 1994, 436-442, C, 6.2, 6.4 A Balloon Experiment in the Classroom, Thomas Gruszka, 25:5, 1994, 442-444, C, 6.1, 6.4 Experiments with Probes in the Differential Equations Classroom, David O. Lomen, 25:5, 1994, 453-457, 6.2, 6.4 Projectile Motion with Arbitrary Resistance, Tilak de Alwis, 26:5, 1995, 361-367, 6.2 The Meeting of the Plows: A Simulation, Jerome L. Lewis, 26:5, 1995, 395-400 A Home Heating Model for Calculus Students, Prashant S. Sansgiry and Constance C. Edwards, 27:5, 1996, 394-397, C, 6.2 Take a Walk on the Boardwalk, Stephen D. Abbott and Matt Richey, 28:3, 1997, 162-171, 4.5 The Average Distance Between Points in Geometric Figures, Steven R. Dunbar, 28:3, 1997, 187-197, 7.2 Discovering Differential Equations in Optics, William Mueller and Richard Thompson, 28:3, 1997, 217-223, 6.1 The Long Arm of Calculus, Ethan Berkove and Rich Marchand, 29:5, 1998, 376-386, 5.7.1 The Probability of Passing a Multiple-Choice Test, Milton P. Eisner, 29:5, 1998, 421-426, 9.11 Software for advanced topics A Mathematics Software Database, R.S.Cunningham and David A. Smith, 17:3, 1986, 255-266, 0.10, 3.4, 4.8, 5.8, 6.7, 7.4 A Mathematics Software Database Update, R.S.Cunningham and David A. Smith, 18:3, 1987, 242-247, 0.10, 3.4, 4.8, 5.8, 6.7, 7.4 The Compleat Mathematics Software Database, R.S.Cunningham and David A. Smith, 19:3, 1988, 268-289, 0.10, 3.4, 4.8, 5.8, 6.7, 7.4 Binary Operations, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:3, 1990, 240-241, C, 9.4 A Model for Your Curriculum?, Douglas Campbell, 22:2, 1991, 163-166 EXP, Version 3.02 for Windows, Jon Wilkin, 27:1, 1996, 68-73, 0.10 Scientific WorkPlace, Jerry Thornhill, 27:4, 1996, 305-311 Standard Math Interactive, William C. Bauldry, 29:3, 1998, 237-241 Mathematica Sortware Review, Steven Wilkinson, 29:4, 1998, 323-329, 5.8 10 Book Reviews The History of the Calculus, Carl Boyer, 1:1, 1970, 60-86, summarized by Carl Boyer Intermediate Algebra, Joseph Newmyer and Gus Klentes, 5:1, 1974, 60-61, reviewed by Edward B. Wright Elementary Linear Algebra, Paul C. Shields, 5:1, 1974, 61-62, reviewed by Frank Hacker Elementary Functions with Coordinate Geometry, Earl Swokowski, 5:1, 1974, 62, reviewed by Harry L. Hancock Basic Technical Mathematics with Calculus, Allyn J. Washington, 5:1, 1974, 62-63, reviewed by Judith Gersting Programmed Mathematics for Nurses, George Sackheim and Lewis Robins, 5:1, 1974, 63-64, reviewed by Allen P. Angel Business MathematicsA Collegiate Approach, Nelda W. Roueche, 5:2, 1974, 55-56, reviewed by Lawrence Clar Algebra Programmed, R.H.Alwin and R.D.Hackworth and J. Howland, 5:2, 1974, 56-57, reviewed by Gerald M. Smith Mathematical Ideas, 2nd ed., Charles D. Miller and Vern E. Heeren, 5:2, 1974, 57, reviewed by Peter A. Lindstrom Geometry: A Guided Inquiry, G.D.Chakerian and C.D.Crabill and S.K.Stein, 5:2, 1974, 57-58, reviewed by Arthur P. Dull Essentials of College Algebra, 2nd ed., E.F.Beckenbach and I. Drooyer and William Wooten, 5:2, 1974, 58-59, reviewed by Olene C. Zacher Elementary Statistics, Robert R. Johnson, 5:2, 1974, 59, reviewed by Philip F. Reichmeider Basic Algebra Techniques: Concepts and Manipulations, W. Burryl McWaters and Anita McWaters and Robert L. Drennen, 5:3, 1974, 41-42, reviewed by Eugene P. Cooper Mathematics with Applications in the Management, Natural, and Social Sciences, Margaret L. Lial and Charles D. Miller, 5:3, 1974, 42, reviewed by H. Eugene Hall Applied Mathematics for Technical Programs (Trigonometry), Robert G. Moon, 5:3, 1974, 42-43, reviewed by Amogene F. DeVaney Integrated Algebra and Trigonometry with Analytic Geometry, 3rd ed., Robert C. Fisher and Allen D. Ziebur, 5:3, 1974, 43-44, reviewed by S.C.Tefteller Introduction to Probability and Statistics, 5th ed., Henry L. Alder and Edward B. Roessler, 5:3, 1974, 44-45, reviewed by Alan C. Tucker Mathematics and Liberal Arts, Jack C. Gill, 5:4, 1974, 31-32, reviewed by Cameron Douthitt Analytic Geometry with Vectors, Douglas F. Riddle, 5:4, 1974, 32, reviewed by Don Gallagher Linear Algebra, Paul J. Knopp, 5:4, 1974, 32-33, reviewed by Shelba Morman Linear Mathematics, Philip Gillett, 5:4, 1974, 34, reviewed by Peter A. Lindstrom Understanding Statistics, 1st ed., Arnold Naiman and Robert Rosenfeld and Gene Zirkel, 6:1, 1975, 27-28, reviewed by Ara B. Sullenberger Precalculus Mathematics: A Functional Approach, James Connelly and Robert Fratanglo, 6:1, 1975, 28-29, reviewed by Lawrence Gillagan Elementary Algebra, 1st ed., Robert G. Moon and Robert D. Davis, 6:1, 1975, 29, reviewed by Thomas L. Alexander Conceptions of Space, Beginning Geometries for College, William Hemmer, 6:3, 1975, 27-28, reviewed by Jean B. Smith Basic Mathematics for Management and Economics, Lyman C. Peck, 6:3, 1975, 28, reviewed by Cherry Mauk Fundamental MathA Mixed Media Program, Units I-IV, 6:3, 1975, 28-29, reviewed by R. DeJean The Slide Rule, Electric Hand Calculators, and Metrification in Problem Solving, 3rd ed., George C. Beakly and H.W.Leach, 6:3, 1975, 29-30, reviewed by Terral McKellips Modern Mathematics: An Elementary Approach, 2nd ed., Ruric E. Wheeler, 6:4, 1975, 17-18, reviewed by Lawrence A. Trivieri MathematicsA Human Endeavor, Harold R. Jacobs, 6:4, 1975, 19, reviewed by Gerald M. Smith Introduction to Finite Mathematics, 3rd ed., John G. Kemeny and J. Laurie Snell and Gerald L. Thompson, 6:4, 1975, 19-20, reviewed by Bruce King Plane Trigonometry, A New Approach, C.L.Johnson, 7:1, 1976, 24-25, reviewed by Nancy Holder Contemporary Mathematics, Bruce E. Meserve and Max A. Sobel, 7:1, 1976, 25-26, reviewed by James G. Troutman Elementary Algebra: A Worktext, Vivian Shai Groza, 7:1, 1976, 25, reviewed by Ken Seydel Introductory Algebra, Alphonse Gobran, 7:2, 1976, 40-41, reviewed by John P. Pace Developing Skills in Algebra: A Lecture Work-text, J. Louis Nanny and John L. Cable, 7:2, 1976, 41-42, reviewed by Wesley W. Tom Arithmetic Module Series, Thomas J. McHale and Paul T. Witzke, 7:3, 1976, 38-39, reviewed by Donald E. Brown Elementary Functions and Analytic Geometry, Flanders and Price, 7:3, 1976, 39-40, reviewed by Mary Ann DeVincenzo Carl Friedrich Gauss, A Biography, Tord Hall, 7:3, 1976, 40, reviewed by Ralph Mansfield Ingenuity in Mathematics, Ross Honsberger, 7:4, 1976, 26-27, reviewed by Peter A. Lindstrom Fundamentals of Modern Mathematics, William M. Setek, 7:4, 1976, 27-28, reviewed by Marilyn F. Semran A Guide to BASIC Programming, 2nd ed., Donald D. Spencer, 7:4, 1976, 28, reviewed by Donald Brown and Suzanne Brown Mathematical Gems, Ross Honsberger, 8:1, 1977, 35-36, reviewed by Peter A. Lindstrom Fortran IV Programming and Applications, C.Joseph Sass, 8:1, 1977, 36-37, reviewed by Mary Ann DeVincenzo Statistics, Norma Gilbert, 8:2, 1977, 88-89, reviewed by Leland D. Graber Calculus, A Practical Approach, Kenneth Kalmanson and Patricia C. Kenschaft, 8:2, 1977, 89, reviewed by Dennis M. Rodriquez Fundamental Mathematics (filmstrips), James Streeter and Gerald Alexander, 8:3, 1977, 165-166, reviewed by John McGregor Mathematics Method Program, John F. LeBlanc, et al., 8:3, 1977, 166-167, reviewed by Suzanne Brown Differential Equations and Their Applications: An Introduction to Applied Mathematics, Martin Braun, 8:4, 1977, 231-232, reviewed by David Farnsworth Elementary Computer Applications in Science, Engineering, and Business, Ian Barrodale, et al., 8:4, 1977, 232-233, reviewed by Samiha Mourad The Mathematics of the Elementary School, Edward G. Begle, 8:5, 1977, 281-282, reviewed by David E. Moxness The Power of Relevant Mathematics: Basic Concepts, Kenneth L. Whipkey and Mary Nell Whipkey and Joanne Jarocki, 8:5, 1977, 282, reviewed by Jean B. Smith An Introduction to the History of Mathematics, 4th ed., Howard Eves, 9:2, 1978, 84-86, reviewed by John Niman Essentials of Precalculus Mathematics, Dennis T. Christy, 9:3, 1978, 167-168, reviewed by Jean Lane Mathematics with Applications in Management and Economics, 4th ed., Earl K. Bowen, 9:3, 1978, 168-169, reviewed by Donald E. Brown The Ages of Mathematics(4 volumes), Michael Moffatt and Charles Flinn and Cynthia Conwell Cook and Peter D. Cook, 9:4, 1978, 222-224, reviewed by Frank Swetz Understanding and Programming Computers, Samiha Mourad, 9:5, 1978, 288-289, reviewed by Mary Ann DeVincenzo Algebra: A Fundamental Approach, William M. Setek, 9:5, 1978, 289, reviewed by Marilyn F. Semrau The Psychology of Learning Mathematics, Richard R. Skemp, 10:1, 1979, 44-45, reviewed by Shelba Jean Morman Analytic Trigonometry with Applications, Raymond A. Barnett, 10:1, 1979, 45-46, James C. Kropa Analytic Geometry and the Calculus, 3rd ed., A.W.Goodman, 10:2, 1979, 123-124, reviewed by Donald C. Fuller Why the Professor Can't Teach: Mathematics and the Dilemma of University Education, Morris Kline, 10:3, 1979, 205-206, reviewed by Elaine Johnson Tatham Mathematical Recreations and Essays, W.W.Rouse Ball and H.S.M.Coxeter, 10:4, 1979, 283-286, reviewed by G.L.Alexanderson Elementary Number Theory, David M. Burton, 10:4, 1979, 287-288, reviewed by Henry J. Ricardo The Historical Roots of Elementary Mathematics, Lucas N. H. Bunt, 10:4, 1979, 288-289, reviewed by Barnabas Hughes An Introduction to Mathematical Models in the Life and Social Sciences, Michael Olinick, 10:5, 1979, 355-356, reviewed by Kenneth E. Martin What is the Name of This Book?, Raymond M. Smullyan, 11:1, 1980, 56-58, reviewed by Klaus Galda Mathematical Morsels, Ross Honsberger, 11:2, 1980, 127-128, reviewed by Leon Bankoff Intermediate Algebra, 3rd, Mervin L. Keedy and Marvin L. Bittinger, 11:3, 1980, 218-219, reviewed by Sarah Christiansen Complex Variables, George Polya and Gordon Latta, 11:5, 1980, 341-343, reviewed by S.S.Holland, Jr Mathematically Speaking, Morton Davis, 12:1, 1981, 58-59, reviewed by Marilyn Mays Gilchrist Overcoming Math Anxiety, Sheila Tobias, 12:1, 1981, 59-61, reviewed by Henry Africk Mind Over Math, Stanley Kogelman and Joseph Warren, 12:1, 5-61, reviewed by Henry Africk Mathematics: The Loss of Certainty, Morris Kline, 12:2, 1981, 141-142, reviewed by R.P.Boas Functions and Graphs, 3rd ed., Earl W. Swokowski, 12:3, 1981, 222-223, reviewed by Helen D. Bourgeois Mindstorms: Children, Computers, and Powerful Ideas, Seymour Papert, 12:4, 1981, 285-286, reviewed by Pierre J. Malraison The Mathematical Experience, Philip J. Davis and Reuben Hersh, 13:1, 1982, 72-73, reviewed by Henry S. Tropp The Mathematical Gardner, David A. Klarner, ed., 13:3, 1982, 217-218, reviewed by Paul J. Campbell Gauss/A Biographical Study, W.K.Buhler, 13:4, 1982, 286-288, reviewed by G.L.Alexanderson Two-Year College Mathematics Readings, Warren Page, ed., 13:4, 1982, 288, reviewed by J.E.Householder The Real World and Mathematics, Hugh Burkhardt, 14:1, 1983, 81-82, reviewed by H.O.Pollak Great Moments in Mathematics (Before 1650 and After 1650), Howard Eves, 14:3, 1983, reviewed by R.P.Boas Infinite Processes/Background to Analysis, A. Gardner, 14:4, 1983, 365-366, reviewed by G.L.Alexanderson Maxima and Minima Without Calculus, Ivan Niven, 14:5, 1983, 415, reviewed by Lester H. Lange Neymanfrom life, Constance Reid, 15:1, 1984, 82-84, reviewed by Robert V. Hogg The Fractal Geometry of Nature, Benoit B. Mandelbrot, 15:2, 1984, 175-177, reviewed by Don Chakerian Mir Publishers' Series (Moscow), 15:3, 1984, 281-282, reviewed by Peter J. Hilton Lectures in Geometry: Analytic Geometry, M.M.Postnikov, 15:3, 1984, 282-283, reviewed by Peter J. Hilton Beginning Statistics with Data Analysis, Frederck Mosteller and Stephen E. Fienberg and Robert E.K.Rourke, 15:4, 1984, 360-361, reviewed by Ann Watkins The Future of College Mathematics, Anthony Ralston and Gail S. Young, eds., 15:5, 1984, 458-460, reviewed by Stephen B. Maurer Classics of Mathematics, Ronald Calinger, ed., 16:1, 1985, 85-86, reviewed by Charles V. Jones Geometry and Algebra in Ancient Civilizations, B.L.Van der Waerden, 16:2, 185, 169-170, reviewed by H.S.M.Coxeter Selecta: Expository Writing, P.R.Halmos, 16:2, 1985, 171, reviewed by R.P.Boas A Convergence of LivesSofia Kovalevskaia: Scientist, Writer, Revolutionary, Ann Hibner Koblitz, 16:3, 1985, 240-242, reviewed by D. Bushaw New Directions in Two-Year College Mathematics, Donald J. Albers, ed., 16:3, 1985, 242-247, reviewed by Philip Cheifetz Learning Mathematics: The Cognitive Science Approach to Mathematics Education, Robert B. Davis, 16:4, 1985, 319-322, reviewed by James J. Kaput Superior Beings. If The Exist, How Would We Know?: Game-Theoretic Implications of Omniscience, Omnipotence, Immortality, and Incomprehensibility, Steven J. Brams, 16:5, 1985, 430-431, reviewed by Thomas P. Faase Problem-Solving Through Problems, Loren C. Larson, 16:5, 1985, 432, reviewed by G.L.Alexanderson Mathematics: People, Problems, Results, Douglas M. Campbell and John C. Higgins, eds., 17:1, 1986, 108-109, reviewed by Philip J. Davis Mathematical Snapshots, 3rd ed., H. Steinhaus, 17:2, 1986, 197-199, I.J.Schoenberg Mathematical PeopleProfiles and Interviews, Donald J. Albers and G.L.Alexanderson, eds., 17:3, 1986, 275, reviewed by Ivan Niven The History of Mathematics: An Introduction, David M. Burton, 17:4, 1986, 373-375, reviewed by David Wheeler Mathematics and Optimal Form, Stefan Hildebrandt and Anthony Tromba, 18:1, 1987, 84-85, reviewed by Ross Honsberger Mathematical Applications of Electronic Spreadsheets, Dean E. Arganbright, 18:2, 1987, 175, reviewed by Edward Page Cross-Cultural Studies in Cognition and Mathematics, David F. Lancy, 18:3, 1987, 259-261, reviewed by John W. Berry Mathematical Problem Solving, Alan H. Schoenfeld, 18:4, 1987, 354-355, reviewed by Douglas B. McLeod Toward a Lean and Lively Calculus, Ronald G. Douglas, ed., 18:5, 1987, 439-442, reviewed by L.C.Moore and David A. Smith The History of Statistics: The Measurement of Uncertainty Before 1900, Stephen M. Stigler, 19:1, 1988, 94-95, reviewed by Gottfried E. Noether The Mathematical Description of Shape and Form, E.A.Lord and C.B.Wilson, 19:2, 1988, 201, reviewed by Thomas F. Banchoff The Shape of Space, Jeffrey R. Weeks, 19:2, 1988, 202, reviewed by Thomas Banchoff A Budget of Trisections, Underwood Dudley, 20:2, 1989, 180-181, reviewed by Doris Schattschneider Discrete Thoughts: Essays on Mathematics, Science, and Philosophy, Mark Kac and Gian-Carlo Rota and Jacob T. Schwartz, 20:3, 1989, 272-273, reviewed by Peter W. Renz Women of Mathematics: A Biobibliographic Sourcebook, Louise S. Grinstein and Paul J. Campbell, eds., 20:4, 1989, 360-361, reviewed by Barry Schiller and Helen Salzberg To Infinity and Beyond: A Cultural History of the Infinite, Eli Maor, 20:4, 1989, 361-362, reviewed by Richard K. Guy Chaos: Making a New Science, James Gleick, 20:5, 1989, 458-459, reviewed by Robert L. Devaney For All Practical Purposes: Introduction to Contemporary Mathematics, COMAP, 21:1, 1990, 78-80, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Module 1: Management Science, COMAP, 21:2, 1990, 164-165, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Module 2: Statistics, COMAP, 21:3, 1990, 260-262, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Module 3: Social Choice, COMAP, 21:4, 1990, 348-349, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Modules 4 and 5: On Size and Shape and Computer Science, COMAP, 21:5, 1990, 436-437, reviewed by Martin E. Flashman Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics, Robert L. Devaney, 22:1, 1991, 82-84, reviewed by Thomas Scavo Felix Klein and Sophus Lie: Evolution of the Idea of Symmetry in the Nineteenth Century, I.M.Yaglom, 22:2, 1991, 178-180, reviewed by Ed Barbeau Advanced Mathematical Thinking, Tommy Dreyfus, et al., 22:3, 1991, 268, reviewed by Annie Selden Mathematical Visions: The Pursuit of Geometry in Victorian England, Joan L. Richards, 22:4, 1991, 355-356, reviewed by J.J.Tattersall Transition to Chaos: The Orbit Diagram and the Mandelbrot Set (video), Robert L. Devaney, 22:5, 1991, 455-456, reviewed by Kathirgama Nathan Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics (video), Robert L. Devaney, 22:5, 1991, 456-457, reviewed by Kathirgama Nathan The Crest of the Peacock: Non-European Roots of Mathematics, George Gheverghese Joseph, 23:1, 1992, 82-84, reviewed by Victor J. Katz Escalante, the Best Teacher in America, Jay Mathews, 23:2, 1992, 173-175, reviewed by Peter Ross Visualization in Teaching and Learning Mathematics, Walter Zimmerman and Steve Cunningham, eds., 23:3, 1992, 258-260, reviewed by James J. Kaput Ethnomathematics: A Multicultural View of Mathematical Ideas, Marcia Asher, 23:4, 1992, 353-355, reviewed by Frank Swetz Japanese Grade 7-9 Mathematics, Kunihiko Kodaira, ed., 23:5, 1992, 445-448, reviewed by Richard Askey Discrete Algorithmic Mathematics, Stephen B. Maurer and Anthony Ralston, 24:1, 1993, 107-108, reviewed by David E. Flesner Not Knot (video), Geometry Center of the University of Minnesota, 24:2, 1993, 197-198, reviewed by Mark Kidwell Solid Shape, Jan J. Koenderink, 24:3, 1993, 282-284, reviewed by Les Lange Exploring Mathematics with Your Computer, Arthur Engel, 25:2, 1994, 170-171, reviewed by Mark E. Saul The Search for E. T. Bell, Constance Reid, 25:3, 1994, 253-254, reviewed by Underwood Dudley A History of Mathematics: An Introduction, Victor Katz, 25:4, 1994, 347-348, reviewed by Jim Tattersall Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, Atsuyuki Okabe, Barry Boots, and Kokichi Sugihara, 26:1, 1995, 79-81, reviewed by Marjorie Senechal Essays in Humanistic Mathematics, Alvin White, ed., 26:2, 1995, 170, reviewed by Keith Devlin Visual Mathematics, Michele Emmer, guest editor, 26:4, 1995, 341-342, reviewed by Harry Bixler The Mathematical Traveler: Exploring the Grand History of Numbers, Calvin C. Clawson, 26:5, 1995, 417-418, reviewed by Frank Swetz Shadows of the Mind, Roger Penrose, 27:2, 1996, 162-163, reviewed by Peter Hilton Five Hundred Mathematical Challenges, Edward J. Barbeau, Mussay S. Klamkin, and William O. J. Moser, 27:4, 1996, 323, reviewed by Cecil Rousseau How to Teach Mathematics: A Personal Perspective, Sten G. Krantz, 27:4, 1996, 324, reviewed by John A. Dossey Crossroads in Mathematics: Standards for Introductory College Mathematics before Calculus, American Mathematical Association of Two-Year Colleges, 27:5, 1996, 416-417, reviewed by Donald W. Bushaw Learn from the Masters, Frank Swetz; et al; editors, 28:3, 1997, 245-246, reviewed by William Dunham Mathematics and Politics, Alan D. Taylor, 28:4, 1997, 328-329, reviewed by Philip D. Straffin Indiscrete Thoughts, Gian-Carlo Rota, 29:1, 1998, 80, reviewed by Reuben Hersh The Emergence of the American Mathematical Research Community; 1876-1900: J. J. Sylvester; Felix Klein and E. H. Moore, Karen Hunger Pashall and David E. Rowe, 29:3, 1998, 254-256, reviewed by Daniel E. Otero Geometry Turned On, James King and Doris Schattschneider: Editors, 29:4, 1998, 343-344, reviewed by Jean Pedersen The Queen of Mathematics, Jay R. Goldman, 29:5, 1998, 448, reviewed by Bruce Berndt PAGE 84 PAGE 85

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To search the archive just click on edit (at the top of your browser)and then click on find in page or find in window and type in the word (actor or movie) that you are searching for. Susan Granger's review of "REMEMBER THE TITANS" (Walt Disney Pictures) Susan Granger's review of "BEST IN SHOW" (Warner Bros./Castle Rock Entertainment) Susan Granger's review of "BAIT" (Warner Bros.) Susan Granger's review of "WOMAN ON TOP" (Fox Searchlight Pictures) Susan Granger's review of "UNDER SUSPICION" (Lions Gate Films) Susan Granger's review of "DUETS" (Hollywood Pictures/Disney) Susan Granger's review of "THE WATCHER" (Universal) Susan Granger's review of "THE WAY OF THE GUN" (Artisan Entertainment) Susan Granger's review of "THE WATCHER" (Universal) Susan Granger's review of "NURSE BETTY" (USA Films) Susan Granger's review of "HIGHLANDER: ENDGAME" (Dimension Films) Susan Granger's review of "WHIPPED" (Destination Films) Susan Granger's review of "ALMOST FAMOUS" (DreamWorks)

36. About Expression Enterprises empowering young people through music. About Us. Expression Enterprises is a nonprofit organization endeavoring to make a better world through the arts. the world of music with an inspiring team http://www.expressionenterprises.org/about.htm

empowering young people through music About Us Expression Enterprises is a non-profit organization endeavoring to make a better world through the arts. We are dedicated to the musical, personal, and ethical development of young people through chamber music. We will guide their progress in collaborative and leadership skills, help them deepen their understanding of music, improve their playing and become more confident and expressive musicians. Students explore the world of music with an inspiring team of guides: Karen Iglitzin , Director, Irwin Eisenberg , and Leslie Hirt Marckx Read what the Seattle Times says about Karen here in their article titled "For the love of music: Performer turned teacher puts the emphasis on fun". Karen Iglitzin is a violinist of a different sort. She plays everything from Beethoven quartets, to Indonesian gamelan music, to fiddle tunes. She also loves young people, and has been mentor to many a teenager in Washington and around the Northwest. Her annual all-night sightreading party is considered a must by young string players. She recently returned from a year teaching in China with her pianist-husband, Roger Nelson. They taught at Qufu Teacher's University in the Shandong Province where Karen taught violin, chamber music, and even introduced the Chinese students to American fiddling and contra-dancing. Their then 4-year old daughter Ariana became fluent in Mandarin Chinese.

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