UW Math: Milliman Lectures Archive will state some of the main unsolved problems on the Robert MacPherson Institute for advanced Study. applications of algebra to some problems in combinatorics http://www.math.washington.edu/~sheetz/Milliman/milliman-archives.html
Extractions: L-functions, starting from Riemann's zeta function and continuing to the modern automorphic L-function have played a central role in number theory. These lectures will focus on recent developments in the analytic theory of such functions. A key technique which is at the heart of these advances is based on the formation and analysis of families of L-functions. There are numerous applications of these developments to number theory, combinatorics and mathematical physics. We will describe two in detail. One is the solution of Hilbert's eleventh problem which asks about the representability of integers in a number field by an integral quadratic form. The other is to eigenfunctions on an arithmetic surface and in particular problems in quantum chaos. Princeton University The talks will state some of the main unsolved problems on the Euler and Navier-Stokes equations for incompressible fluids, and sketch the proofs of some of the main results known so far on these and related equations. I hope to get through the main ideas in the proofs of the Beale-Kato-Majda theorem and results of Constantin, Majda and me on breakdown of Euler solutions, the work of Sheffer, Caffarelli-Kohn-Nirenberg and F. H. Lin on Navier-Stokes, and recent results by D. Cordoba and me on breakdown scenarios. Also, I hope to state precisely some problems arising from Kolmogorov's ideas on turbulence.
ScienceDaily -- Browse Topics: Science/Math/Analysis See Also Science math Calculus. Some unsolved problems Mainly in analysis advanced Calculus and Analysis - Lecture notes from the University of Aberdeen for http://www.sciencedaily.com/directory/Science/Math/Analysis
Extractions: Front Page Today's Digest Week in Review Email Updates ... Math Analysis (156 links) See Also: News about Analysis How Brain Gives Special Resonance To Emotional Memories (June 10, 2004) full story Scientists Find Cancer's Genetic Core: 67 Genes Universally Activated In Human Cancer (June 9, 2004) full story Gene Expression Ratio Identifies Risk Of Recurrence In Breast Cancer Patients Receiving Tamoxifen (June 8, 2004) full story A "Swarm" Of Satellites For A Unique Look Inside The Earth (June 7, 2004) full story Nearly One-third Of The Calories In The US Diet Comprised Of Junk Food, Researcher Finds
ZapMeta Directory > Science > Math > Analysis . advanced Calculus and Analysis open this site http//www.math.ucdavis.edu/~emsilvia/math127/math127.html. . Favorite unsolved problems open this site in a http://www.zapmeta.com/search/meta/db.pl?dir=391044
Selected Number Theory References Written with a target audience of nonmath majors. Publ, 1991 Good text, best suited for either advanced undergraduate or Guy94 unsolved problems in Number http://www.math.umbc.edu/~campbell/NumbThy/Class/References.html
Extractions: Selected Number Theory References A Course in Number Theory nd Ed, by H. E. Rose, Oxford Univ Press, 1996 Good general text, best suited for either advanced undergraduate or first graduate course. ($45, UMCP library) The Theory of Numbers Good text, best suited for either advanced undergraduate or first graduate course. Classical approach with recently added sections having some computational flavor. Previously used as a text for this class. ($95, UMBC library) A Classical Introduction to Modern Number Theory One of the best general number theory books at a graduate level. Little computational coverage but good coverage from a modern algebraic viewpoint. Contains a short introduction to the theory of finite fields. ($60, UMCP library)
Directory - Science: Math: Operations Research Search only in Operations Research (advanced). The math Forum math Library - Operations Research unsolved problems in OR · cached · A good collection. http://www.incywincy.com/default?p=26930
BSU 96-98 Graduate Math Course Descriptions LCM s, the Euclidean Algorithm, famous unsolved problems, and congruences. modeling to real world problem situations. 552 advanced EUCLIDEAN GEOMETRY (4 credits http://www.bemidjistate.edu/BSUCatalog/GRADCATALOG/MATH/Courses.html
Extractions: BSU Catalog Home Undergraduate Math Program All-University Courses and Descriptions (MATH) College-Program Codes: 17-10 Unless otherwise specified, the prerequisite for the graduate courses in mathematics is an undergraduate major in mathematics or MATH 520 or equivalent. 500 MATH MODELS, GAMES, AND ACTIVITIES FOR THE PRIMARY GRADES (2 credits). For teachers of grades K-3. Mathematical background including teaching-aids, games, projects and activities that relate to the primary level will be presented. The basic mathematical operations will be presented from a "concrete" standpoint. 501 MATH MODELS, GAMES, AND ACTIVITIES FOR THE INTERMEDIATE GRADES (2 credits). For teachers for grades 3-6. Mathematical background including teaching-aids, games, projects, and activities that relate to the intermediate level will be presented. The basic mathematical operations will be presented from a "concrete" standpoint. 502 MATH MODELS, GAMES, AND ACTIVITIES FOR ELEMENTARY CLASSROOMS (4 credits). An intensive introduction to activities, models, projects, and ideas needed to effectively teach using contemporary text materials. Materials usable at every ability level will be included. Prerequisite: Teaching experience or consent of instructor.
Wu :: Forums - Unsolved Problems In The Hard Forum A math puzzler from Barukh, Random Exponentiation, is solved this one is diving into some advanced number theory. This one is an unsolved problem in mathematics http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_hard;action
Frank Potter's Science Gems - Mathematics and engineering at the advanced undergraduate level Ocean Models, Bioelectric Field problems, Monte Carlo unsolved Mathematics problems S. Finch at Wolfram http://www.sciencegems.com/math.html
Alexa Web Search - Subjects > Science > Math > Analysis Favorite unsolved problems Alexandre Eremenko (Purdue University). front.math.ucdavis.edu/math.CA Site Info. advanced Calculus and Analysis Lecture notes from http://www.alexa.com/browse/general?catid=391044&mode=general
Undergraduate Studies Course Listing Emphasis on examples, applications, and unsolved problems in contemporary areas such as elliptic curves, geometric surfaces math 4431 advanced Calculus, J http://talon.stockton.edu/eyos/page.cfm?siteID=14&pageID=86&program=MATH
The Math Forum - Math Library - Problems/Puzzles math Forum's Internet math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to problems_puzzles. more advanced http://mathforum.com/library/selected_sites/problems_puzzles.high.html
Extractions: An online reference to mathematical problems, comprising a searchable database of 20,000+ math problems from journals and contests including the American Mathematical Monthly, Journal of Recreational Mathematics, Mathematical Questions and Solutions from the Educational Times, and several national and international mathematical olympiads. Search for problems by subject, keyword, source, problem number (requires publication source), year, proposer, solver, or author; or request a randomly-served problem. Search or view comments, search commenters, and post your own comments on problems. Contribute problems through the Web site or by email. The site also outlines technical details of database publishing with TeX. Compiled by MathPro Press and located in the Department of Mathematics and Statistics at the University of Missouri - Rolla. more>> AIMS Education Foundation
Unsolved Problems Check out the NEW Hotbot. Tell me when this page is updated. Hi! We're E and Pi, here to introduce you to Jon Bettencourt's web page on unsolved math problems. It's his final project for COSMOS, the http://members.tripod.com/kopylefted2002/cosmos
Extractions: Some of these problems seem very simple, but end up with no simple proof or solution to them. As an example, Fermat's Last Theorem was very simple, but it took hundreds of years and some parts from very advanced branches of mathematics to solve it. So if one seems simple, don't try to solve it unless you know a lot of math.
CNN.com - Russian May Have Solved Great Math Mystery - Jan. 7, 2004 This is arguably the most famous unsolved problem in math a University of Michigan math professor reviewing Perelman s work has advanced the furthest without http://www.cnn.com/2004/US/West/01/07/math.mystery.ap/
Extractions: International Edition MEMBER SERVICES The Web CNN.com Home Page World U.S. Weather ... Special Reports SERVICES Video E-mail Services CNNtoGO Contact Us SEARCH Web CNN.com The 100-year-old problem seeks to explain the geometry of three-dimensional space. Story Tools YOUR E-MAIL ALERTS Russia Research or Create your own Manage alerts What is this? SAN FRANCISCO, California (AP) A publicity-shy Russian researcher who labors in near-seclusion may have solved one of mathematics' oldest and most abstruse problems, the Poincare Conjecture. Evidence has been mounting since November 2002 that Grigori "Grisha" Perelman has cracked the 100-year-old problem, which seeks to explain the geometry of three-dimensional space. If Perelman succeeded, he could be eligible for a $1 million prize offered by the Cambridge, Massachusetts-based Clay Mathematics Institute, formed to identify the world's seven toughest math problems. Mathematicians around the world have been checking Perelman's work in search of the kind of flaws that have sunk the many other supposed solutions to a problem first presented by the French mathematician Henri Poincare in 1904. "This is arguably the most famous unsolved problem in math and has been for some time," said Bruce Kleiner, a University of Michigan math professor reviewing Perelman's work.
Math: Research: Open Problems Most Wanted List Elementary unsolved problems in mathematics, listed at the MathPages archive. unsolved Mathematics problems - Compiled by Steven Finch. http://www.spacetransportation.org/Math/Research/Open_Problems/
Math: Number Theory: Open Problems Maintained at AIM. Mathematician s Secret Room unsolved problems in Number Theory. unsolved problems and Rewards - By Clark Kimberling. http://www.spacetransportation.org/Math/Number_Theory/Open_Problems/
MSNBC - Publicity-shy Whiz Rocks The Math World is arguably the most famous unsolved problem in math and Kleiner, a University of Michigan math professor reviewing Perelmans work has advanced the furthest http://www.msnbc.msn.com/id/3899479/
Extractions: MSN Home My MSN Hotmail Shopping ... Money document.write('') Web Search: document.write(''); logoImg("http://sc.msn.com"); MSNBC News Alerts Newsletters Help ... MSNBC Shopping Search MSNBC: Advanced Search   RESOURCE GUIDE Buy Life Insurance Yellow pages expedia.com Shopping ... Small Business Tips Science Publicity-shy whiz rocks the math world Million-dollar solution to age-old problem is holding up By Paul Elias The Associated Press Updated: 3:13 p.m. ET Jan.07, 2004 SAN FRANCISCO - A publicity-shy Russian researcher who labors in near-seclusion may have solved one of mathematicsâ oldest and most abstruse problems, the Poincare Conjecture. advertisement Evidence has been mounting since November 2002 that Grigori âGrishaâ Perelman has cracked the 100-year-old problem, which seeks to explain the geometry of three-dimensional space. If Perelman succeeded, he could be eligible for a $1 million prize offered by the Cambridge, Mass.-based Clay Mathematics Institute , formed to identify the worldâs seven toughest math problems. Mathematicians around the world have been checking Perelmanâs work in search of the kind of flaws that have sunk the many other supposed solutions to a problem first presented by the French mathematician Henri Poincare in 1904.
Mudd Math Fun Facts: Fermat's Last Theorem is a Fun Fact at the advanced level that mathematics, like other disciplines, has unsolved questions that Behind the Fact Pursuit of this problem and related http://www.math.hmc.edu/funfacts/ffiles/30004.5.shtml
Extractions: x n + y n = z n for integer powers n greater than 2? The French jurist and mathematician Pierre de Fermat claimed the answer was "no", and in 1637 scribbled in the margins of a book he was reading (by Diophantus) that he had "a truly marvelous demonstration of this proposition which the margin is too narrow to contain". This tantalizing statement (that there are no such triples) came to be known as Fermat's Last Theorem even though it was still only a conjecture, since Fermat never disclosed his "proof" to anyone. Many special cases were established, such as for specific powers, families of powers in special cases. But the general problem remained unsolved for centuries. Many of the best minds have sought a proof of this conjecture without success. Finally, in the 1993, Andrew Wiles, a mathematician who had been working on the problem for many years, discovered a proof that is based on a connection with the theory of
Extractions: This is a fascinating and very well-written book about a singular problem in mathematics history. Derbyshire presents a look at the history of the Riemann hypothesis (or is it "conjecture"? Derbyshire asks, as an aside, what the real difference is between the two, in mathematical terminology) the people and their political context as well as the equation and efforts to prove it. As a blessing to those of us who are not hard-core mathematicians, Derbyshire takes the approach of alternating chapters between (even numbered chapters) math and (odd chapters) people and context. This gives the effect of telling two intimately linked stories simultaneously, and keeping the reader in just a bit of suspense in each while telling the other. I found myself enjoying each of the two tales, yet impatient to see where the other was going next.
MathLinks EveryOne Index Forum, Topics, Posts, Last Post. advanced Section, Tell Us About Your Country Your impressions on how math is done in your country. Post only files with problems. http://www.tg-mures.roedu.net/index.php
Extractions: This is a fascinating and very well-written book about a singular problem in mathematics history. Derbyshire presents a look at the history of the Riemann hypothesis (or is it "conjecture"? Derbyshire asks, as an aside, what the real difference is between the two, in mathematical terminology) the people and their political context as well as the equation and efforts to prove it. As a blessing to those of us who are not hard-core mathematicians, Derbyshire takes the approach of alternating chapters between (even numbered chapters) math and (odd chapters) people and context. This gives the effect of telling two intimately linked stories simultaneously, and keeping the reader in just a bit of suspense in each while telling the other. I found myself enjoying each of the two tales, yet impatient to see where the other was going next.
