61. Zeal.com - United States - New - Library - Sciences - Mathematics - Mathematicia com/encyclopedia/G/GaussCa.html Look through details on achievements, life, works,and background of the german mathematician, physicist, and astronomer. http://zeal.com/category/preview.jhtml?cid=558054

62. About Emmy Noether In 1908 she was invited to join the Circolo Matematico di Palermo and in 1909to join the german Mathematical Society but she still could not obtain a http://womenshistory.about.com/library/bio/blbio_emmy_noether.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About History Women's History Air, Space, Science, Math ... Today in Women's History zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); About Women: Biographies African American Air, Space, Science, Math Art, Music. Writing. Media ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Stay Current Subscribe to the About Women's History newsletter. Search Women's History Emmy Noether March 23 , 1882 - April 14, 1935) mathematician Amalie Noether, Emily Noether, Amelie Noether Born in Germany and named Amalie Emmy Noether, she was known as Emmy. Her father was a mathematics professor at the University of Erlangen and her mother was from a wealthy family. Emmy Noether studied arithmetic and languages but was not permitted as a girl to enroll in the college preparatory school, the gymnasium. Her graduation qualified her to teach French and English in girls' schools, apparently her career intention but then she changed her mind and decided she wanted to study mathematics at the university level. To enroll in a university, she had to get permission of the professors to take an entrance exam she did and she passed, after sitting in on mathematics lectures at the University of Erlangen. She was then allowed to audit courses first at the University of Erlangen and then the University of G

63. Notes -- History Of Models Models, apparatuses, instruments The conference of the german mathematicianunion (DMV) of the yearly 1892 took place in the autumn 1892 in Nuernberg http://math.bu.edu/people/angelav/projects/models/notes.html

Notes on History of Models Look at this website on Rudolf Mehmke . Here is a rough (from altavista) translation of a paragraph from this web site: "Models, apparatuses, instruments: The conference of the German mathematician union (DMV) of the yearly 1892 took place in the autumn 1892 in Nuernberg following the conference of the society of German natural scientists and physicians. For this conference for the first time an exhibition of `models, apparatuses and instruments' was planned in the history of the DMV, for which Walther of Dyck of the technical university in Munich was responsible. The exhibition failed however 1892 because of the Choleragefahr, it took place however 1893 in Munich. In the introduction to the `catalog' Dyck referred to it: `he would like to think of the important aid, which the Mr. Boltzmann dedicated in Munich and Mehmke in Darmstadt on mathematical physics and on arithmetic relative departments haben' in the speciellen still. Indeed Mehmke had issued 18 own, even sketched and built objects and beschrieben." Should be able to find the above quote in Dyck's catalogue. Need to work on better translation.

64. MSN Encarta - Mathematics definition of “real number.” The necessary precision for calculus and mathematicalanalysis was attained in the 1850s by german mathematician Karl TW http://encarta.msn.com/encyclopedia_761578291_5/Mathematics.html

MSN Home My MSN Hotmail Shopping ... Money Web Search: logoImg('http://sc.msn.com'); Encarta Subscriber Sign In Help Home ... Upgrade to Encarta Premium Search Encarta Tasks Find in this article Print Preview Send us feedback Related Items Algebra Arithmetic more... Magazines Search the Encarta Magazine Center for magazine and news articles about this topic Further Reading Editors' Picks Mathematics News Search MSNBC for news about Mathematics Internet Search Search Encarta about Mathematics Search MSN for Web sites about Mathematics Also on Encarta Editor's picks: Good books about Iraq Compare top online degrees What's so funny? The history of humor Also on MSN Summer shopping: From grills to home decor D-Day remembered on Discovery Switch to MSN in 3 easy steps Our Partners Capella University: Online degrees LearnitToday: Computer courses CollegeBound Network: ReadySetGo Kaplan Test Prep and Admissions Encyclopedia Article from Encarta Advertisement Page 5 of 6 Mathematics Multimedia 45 items Article Outline Introduction Mathematics: The Language of Science Branches of Mathematics History of Mathematics d Fermat and Number Theory Fermat made his greatest contributions to mathematics in number theory , a field that seeks to make general statements about groups of numbers, such as prime numbers. He made his most important conjecture in number theory while reading the

65. Sophie Germain At about this time the French Academy of Sciences announced a contest to explainthe underlying mathematical law of a german physicist s study on the http://www.agnesscott.edu/lriddle/women/germain.htm

Sophie Germain April 1, 1776 - June 27, 1831 Written by Amanda Swift, Class of 1995 (Agnes Scott College) Sophie Germain was born in an era of revolution. In the year of her birth, the American Revolution began. Thirteen years later the French Revolution began in her own country. In many ways Sophie embodied the spirit of revolution into which she was born. She was a middle class female who went against the wishes of her family and the social prejudices of the time to become a highly recognized mathematician. Like the member of a revolution, her life was full of perseverance and hard work. It took a long time for her to be recognized and appreciated for her contributions to the field of mathematics, but she did not give up. Even today, it is felt that she was never given as much credit as she was due for the contributions she made in number theory and mathematical physics because she was a woman. Sophie Germain was born in Paris on April 1, 1776 to Ambroise-Francois and Marie Germain. Her family was quite wealthy. Her father was a merchant and later became a director of the Bank of France. Sophie's interest in mathematics began during the French Revolution when she was 13 years old and confined to her home due to the danger caused by revolts in Paris. She spent a great deal of time in her father's library, and one day she ran across a book in which the legend of Archimede's death was recounted. Legend has it that "during the invasion of his city by the Romans Archimedes was so engrossed in the study of a geometric figure in the sand that he failed to respond to the questioning of a Roman soldier. As a result he was speared to death" (Perl 64). This sparked Sophie's interest. If someone could be so engrossed in a problem as to ignore a soldier and then die for it, the subject must be interesting! Thus she began her study of mathematics.

66. History Of Algebra Work continued through the 18th century on the theory of equations, but not until1799 was the proof published, by the german mathematician Carl Friedrich Gauss http://www.algebra.com/algebra/about/history/

History of Algebra Algebra.Com Algebra History of Algebra Tell Your Friends About This Site support us, please click on the banner above My Homework! See the latest 20 problems that you have done. Talk to Splotchy Bored? Talk to our amazing artificial intelligence robot with funny voice Word Problems Solve and practice cracking word problems. The history of algebra began in ancient Egypt and Babylon, where people learned to solve linear ( ax b ) and quadratic ( ax bx c ) equations, as well as indeterminate equations such as x y z , whereby several unknowns are involved. The ancient Babylonians solved arbitrary quadratic equations by essentially the same procedures taught today. They also could solve some indeterminate equations. The Alexandrian mathematicians Hero of Alexandria and Diophantus continued the traditions of Egypt and Babylon, but Diophantus's book Arithmetica is on a much higher level and gives many surprising solutions to difficult indeterminate equations. This ancient knowledge of solutions of equations in turn found a home early in the Islamic world, where it was known as the "science of restoration and balancing." (The Arabic word for restoration, al-jabru

67. Mathematical Mysteries: Transcendental Meditation Leopold Kronecker. Nineteenthcentury german mathematician Leopold Kroneckeronce said God created the integers, all the rest is the work of man. http://plus.maths.org/issue21/xfile/

@import url(../../newinclude/plus_copy.css); @import url(../../newinclude/print.css); @import url(../../newinclude/plus.css); about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 21 September 2002 Contents Features Safety in numbers Beyond reasonable doubt Tying it all up Blast it like Beckham? Career interview Career interview: Games developer Regulars Plus puzzle Pluschat Mystery mix Reviews 'The Queen's Conjuror' 'Archimedes' 'Mathematical reflections and vistas' 'How long is a piece of string?' ... poster! September 2002 Regulars Mathematical mysteries: Transcendental meditation by Helen Joyce How would you like your maths displayed? If the character p doesn't look like the greek letter "pi", and the character isn't a square root sign

68. Web Hosting, Domain Name, Free Web Site, Email Address Web Hosting A mathematician who is not also something of a poet will never be a completemathematician. , Karl Weirstrass (181597), great german mathematician. http://members.fortunecity.com/jonhays/theysay.htm

web hosting domain names email addresses THEY SAY. WHAT THEY SAY, LET THEM SAY One of the most formative books of my life is Men of Mathematics , by Scot-American mathematician, Eric Temple Bell (1883-1960), which I read in its first year of publication when I was 17. It changed my thinking and played a role in my becoming a mathematician. Before the book itself begins, a page reads what I have in the title, "THEY SAY. WHAT THEY SAY, LET THEM SAY (Motto of Marischal College, Aberdeen)." This was Bell's college in Scotland. Bell's science fiction was published under the name, "John Taine". After stating this motto, Bell lists several sayings, of which I select a few. "A mathematician who is not also something of a poet will never be a complete mathematician.", Karl Weirstrass (1815-97), great German mathematician. "Mathematics is Queen of the Sciences, and Arithmetic is the Queen of Mathematics.", Carl Friedrich Gauss (1777-1855), great German mathematician. "The different branches of Arithmetic Ambition, Distraction, Uglification, and Derision." The Mock Turtle ( Alice in Wonderland "God made the integers, and all the rest is the work of man.", German mathematician, Leopold Kronecker (1823-91)

69. Fractal Geometry until 1919, however, when the german mathematician Felix Hausdorff put forward theidea in connection with the smallscale structure of mathematical shapes. http://www.crystalinks.com/fractal.html

Fractal Geometry Reality is based on the patterns of sacred geometry which repeat in endless cycles. A fractal is a geometrical shape or pattern made up of identical parts, which are in turn identical to the overall pattern. The term "fractal" was coined by Benoit Mandelbrot about 1975 to describe a complex geometrical object that has a high degree of "self-similarity" and a fractional dimension that exceeds the normal, or "topological", dimension ( "D" ) for that type of object. The basic unit of the Koch snowflake , first constructed by the mathematician Helge von Koch (1870-1924), is the equilatorial triangle which can be built up into a much larger but still similar pattern. Any part of the snowflake is equally crinkly, whatever scale it is viewed at. Some of the most remarkable fractals are the Julia sets, devised by the French mathematician Gaston Julia (1893-1978). The Julia Sets are generated by applying an iterative non-linear process based on a very simple square-law function. F(z,C) = z2 + C where z is a point on the X-Y plane and C is a constant with both x and y components, Cx and Cy. The results were very surprising. No one expected that such a simple function could produce such complex images and be so difficult to analyze.

70. Orientation - Encyclopedia Article About Orientation. Free Access, No Registrati The Möbius strip The Möbius strip or Möbius band (named after the german mathematicianand astronomer August Ferdinand Möbius) is a topological object with http://encyclopedia.thefreedictionary.com/Orientation

Dictionaries: General Computing Medical Legal Encyclopedia Orientation Word: Word Starts with Ends with Definition In geometry Geometry is the branch of mathematics dealing with spatial relationships. From experience, or possibly intuitively, people characterize space by certain fundamental qualities, which are termed axioms in geometry. Such axioms are insusceptible of proof, but can be used in conjunction with mathematical definitions for points, straight lines, curves, surfaces, and solids to draw logical conclusions. Click the link for more information. and topology Topology See also: earth science, physical geography, human geography, geomorphology In architecture, topology is a term used to describe spatial effects which can not be described by topography, i.e., social, economical, spatial or phenomenological interactions. Click the link for more information. , a surface in is called orientable , if, roughly speaking, it is possible to consistently distinguish between the two sides of the surface. Examples in low dimensions Take for instance a sphere A sphere is, roughly speaking, a ball-shaped object. In mathematics, a sphere is a quadric consisting only of a surface and is therefore hollow. In non-mathematical usage a sphere is often considered to be solid; mathematicians call this the

71. COLOR PHENOMENA Lambert b1728-08-26 in Mülhausen - Alsace in France d-1777-09-25 in Berlin ingermany A Swiss-german mathematician, astronomer, physicist and philosopher. http://home.hetnet.nl/~paul-schils/08.00.html

COLOR PHENOMENA Page: 08. 00 Introduction Ingredients Spectra Attributes ... Contents Color Spaces COLOR FAMILY 450 BC to 1860 COLOR FAMILY 1860 to 1928 COLOR FAMILY 1928 to 1955 COLOR FAMILY 1955 to 1976 COLOR FAMILY (from 450 BC to 1860) Year Photo Inventors/Physicists/Mathematicians/etc. A simple 2D or 3D color space 450 B.C. Empedokles b-483 B.C. in Akragas d-424 B.C. P hilosopher White for Fire both hot and dry Black for Water both cold and wet Red for Air both wet and hot Orange-Yellow for Earth both dry and cold O 400 B.C. Democritus b-460 B.C. in Abdera (town on the coast of Thrace) d-370 B.C. Greek p hilosopher White Black Red Green-Yellow O 390 B.C. Plato b-427 B.C. in Athens or Aegina in Greece d-347 B.C. in Athens in Greece Greek p hilosopher White Black Red Shiny O 334 B.C. Aristoteles b-384 B.C. in Stagira - Chalcidice in Greece d-322 B.C. in Chalcis - Euboea in Greece He viewed all color to be the product of a mixture of white and black and this was the prevailing belief until 1666 when Sir Isaac Newton's prism experiments provided the scientific basis of understanding of color.

72. Math On The Web: Societies, Associations And Organizations Danish Mathematical Society / Dansk Matematisk Forening (Lynby, Denmark); DMV, DeutscherMathematiker Vereinigung (german Mathematical Society, Berlin, germany); http://www.ams.org/mathweb/mi-sao.html

Mathematics on the Web Societies, Associations and Organizations AMS Website Math on the Web Societies, Associations and Organizations A B C D ... P Q] [ R S T U ... W X] [ Y] [ Z] A AAAS , American Association for Advancement of Science (Washington DC, USA) AIM , American Institute of Mathematics (Palo Alto CA, USA) AMS , American Mathematical Society (Providence RI, USA) AIP , The American Institute of Physics (College Park MD, USA) ACMS , Association of Christians in the Mathematical Sciences (Wheaton IL, USA) Association des Collaborateurs de Nicolas Bourbaki (Paris, France) ACM , Association for Computing Machinery (New York NY, USA) ASL , Association for Symbolic Logic (Urbana IL MD, USA) AWM , Association for Women in Mathematics (College Park MD, USA) , (Piscataway NJ, USA) Australian Mathematical Society , (Canberra, Australia) Austrian Academy of Sciences Austrian Mathematical Society B Belarussian Mathematical Society (Minsk, Belarus) (Brussels / Bruxelles / Brussel, Belgium) Bosnian Mathematical Society (Sarajevo, Bosnia and Herzegovina) Bourbaki: see Association des Collaborateurs de Nicolas Bourbaki (Paris, France)

73. Leibniz, Gottfried Wilhelm Leibniz, Gottfried Wilhelm. A portrait of the german mathematicianand philosopher Gottfried Leibniz. Leibniz discovered calculus http://www.tiscali.co.uk/reference/encyclopaedia/hutchinson/m0004458.html

Your browser does not support inline frames or is currently configured not to display inline frames. // Show bread crumbs navigation path. breadcrumbs('four'); //> ENCYCLOPAEDIA Hutchinson's Encyclopaedia Men's Health ... Wildlife Frames not supported Frames not supported Encyclopaedia Search Click a letter for the index A B C D ... Z Or search the encyclopaedia: Leibniz, Gottfried Wilhelm A portrait of the German mathematician and philosopher Gottfried Leibniz. Leibniz discovered calculus at about the same time as Isaac Newton, and made other progress in the field of abstract mathematics. As well as this, he sought the reunion of Catholics and Protestants and wrote metaphysical studies, laying the foundation for 18th century philosophy. German mathematician, philosopher, and diplomat. Independently of, but concurrently with, English scientist Isaac Newton , he developed the branch of mathematics known as calculus and was one of the founders of symbolic logic. Free from all concepts of space and number, his logic was the prototype of future abstract mathematics. Calculus and controversy It was in London in 1673 that Leibniz became acquainted with the work of Newton and Isaac Barrow and began to work on problems that led him to his independent discovery of differential and integral calculus. Leibniz is due the credit for first using the

74. Sir Isaac Newton Biography, Biografia, Picture, Gravity, Laws Of Frege, Friedrich Ludwig Gottlob (18481925) german philosopher andmathematician; the founder of modern mathematical logic. Gauss http://isaac-newton.info/isaac-newton/Sir-Isaac-Newton-biography-biografia-pictu

KEYNOTE TECHNOLOGY SPEAKER Are you ready to take your conference to the next level? Do you need a great speaker to inform, inspire and show your audience the future? We can provide a keynote speaker on information technology , offshore outsourcing , or a custom presentation. Visit emeagwali.com and book Emeagwali Or call 7 (US/Canada) and 443-850-0850 (Outside US). Refer this speaker Get $500! What's New! Can I patent an idea How to patent a product Where to get patent application Information on patent submission Where do I obtain patents Where do I obtain Links to help artists, authors and musicians Info on obtaining protections Scientific Measurements: Major Mathematicians Scientific Measurements: Major Mathematicians Archimedes (c. 287-212 b.c.) Greek mathematician who is considered to be the greatest mathematician and engineer of ancient times. He discovered the lever and the principle of buoyancy, and he came close to inventing calculus. Banach, Stefan (1892-1945) Russian mathematician who founded modern functional analysis. He also developed the theory of topological

75. Mathematical Societies Industrielles. G, Georgia Georgian Mathematical Union. germany DMV Deutsche Mathematiker-Vereinigung / german Mathematical Society. GAMM http://emis.maths.adelaide.edu.au/EMIS/mirror/IMU/math_soc/

Mathematical Societies Other Lists of Mathematical Societies International Societies IMU - International Mathematical Union EMS - European Mathematical Society UMALCA AWM ... Women in Mathematics BSMSP - Bernoulli Society for Mathematical Statistics and Probability IABEM - International Association for Boundary Element Methods IACR - International Association for Cryptologic Research IASC ... Society (Logic, Philosophy and History of Mathematics) MPS Mathematical Programming Society RTS ... Young Mathematicians Network National Societies List of all Addresses (if your browser can not represent the table below properly, please also look here) Address Society (language of name = language of webpage) A Argentina: Armenia: Armenian Mathematical Union Australia: AMS - Australian Mathematical Society SSAI - Statistical Society of Australia Inc Austria: Austrian Mathematical Society B Belarus: Byelorussian Mathematical Society Belgium: Belgisch Wiskundig Genootschap / Belgian Mathematical Society / Bosnia-Herzegovina: Bosnian Mathematical Society Brazil: Sociedade Brasileira de Matematica Bulgaria: Bulgarian Mathematical Society C Cameroon: Canada: CMS - Canadian Mathematical Society CSHPM - Canadian Society for the History and Philosophy of Mathematics SSC - Statistical Society of Canada / Chile: China: Chinese Mathematical Society Mathematical Society located in Taipei, China

76. Adventures In CyberSound: Plücker, Julius In 1859 whilst establishing an important principle for the future of electronics,the german mathematician and physicist Julius Plucker discovers that cathode http://www.acmi.net.au/AIC/PLUCKER_BIO.html

A D V E N T U R E S in C Y B E R S O U N D In 1859 whilst establishing an important principle for the future of electronics, the German mathematician and physicist Julius Plucker discovers that cathode rays (electrons) are deflected by a magnetic field. Source: Eric's Treasure Trove , German mathematician and physicist who specialized in Analytic Geometry . He presented the logical justification for the Duality Principle in geometry, and published a book about geometry entitled Analytisch-geometrische Entwicklungen Neue Geometrie des Raumes . He worked with Hittorf in investigating Vacuum Tubes Source: http://www.astro.virginia.edu/~eww6n/bios/Plucker.html His work on combinatorics considers Steiner type systems. He also introduced the notion of a ruled surface. In 1847 he turned to physics, accepting the chair of physics at Bonn working on magnetism, electronics and atomic physics. He anticipated Kirchhoff and Bunsen in indicating that spectral lines were characteristic for each chemical substance. In 1865 he returned to mathematics and Klein served as his assistant 1866-1888. Source: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Plucker.html

77. ThinkQuest : Library : Mathematics History Dirichlt, in 1839, Lame proved the theorem for n =7. Very significant advances inthe study of the problem were made by the german mathematician E. Kummrt (1810 http://library.thinkquest.org/22584/temh3049.htm

Index Math Mathematics History An extensive history of mathematics is at your fingertips, from Babylonian cuneiforms to advances in Egyptian geometry, from Mayan numbers to contemporary theories of axiomatical mathematics. You will find it all here. Biographical information about a number of important mathematicians is included at this excellent site. Visit Site 1998 ThinkQuest Internet Challenge Languages English Korean Students Hyun-jin Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South Kyung-sun Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South So-young Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South Coaches Jae-yun Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South Jong-hyun Jong-hyun Lee(Seoul Yo Sang), Kwan-ak Gu, Korea, South Dea-won Dea-won Ko (Seoul Yo Sang), Kwan-ak Gu, Korea, South Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site.

78. ThinkQuest : Library : Maths Universe AD 1675, german mathematician Gottfried Wilhelm Leibniz introduced the mordernnotation for integral calculus, a method of calculating volumes. http://library.thinkquest.org/C007273/mathcronos.html

Index Math Algebra Maths Universe Visit Site 2000 ThinkQuest Internet Challenge Languages English Students Yanjie Anderson Secondary School, Singapore, Singapore Ivan Steve Facultad de Ingenierma (UAEM), Metepec, Mexico Eneas Adan Instituto Tecnolsgico de Toluca, Metepec, Mexico Coaches Lai Fong Anderson Secondary School, Singapore, Singapore Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

79. History Of Mathematics Links: Sites Relating To Individual Mathematicians Andrews); George Gabriel Stokes 18191903 - an Irish Mathematical Physicist , by byDr. Dörte Haftendorn (Johanneum Lüneburg) (available in English or german); http://www.maths.tcd.ie/pub/HistMath/Links/People.html

History of Mathematics Links: Sites relating to Individual Mathematicians The following sites or sections of sites relate to the life and work of individual mathematicians. Other sites which provide biographical information on substantial numbers of mathematicians are listed under Biographies of Mathematicians , and under Biographies of Scientists The listing below is in approximately chronological order. Euclid's Elements (David E. Joyce, Clark University) The Visual Elements of Euclid (Ralph Abraham) ... The Work of Robert Langlands Back to: History of Mathematics Links The History of Mathematics Maintained by David R. Wilkins dwilkins@maths.tcd.ie School of Mathematics Trinity College, Dublin

80. SLATES, SLIDERULES AND SOFTWARE - TEACHING MATH IN AMERICA figures. A few years later, the german mathematician and model makerLudwig Brill published models of projections of polytopes. These http://americanhistory.si.edu/teachingmath/html/201.htm

The World Stage The Early Republic The World Stage The Cold War The Information Age Resources From the 1870s, Americans began to play a larger role in discovering new mathematical principles. Some studied abroad, especially in Germany, and a few American universities began to offer graduate degrees in mathematics. Mathematicians purchased teaching equipment linked to recent advances in their discipline. They and others also introduced devices to help the rapidly growing number of high school students. WELLESLEY COLLEGE MATH CLASS From ancient times, mathematicians had studied regular solids like the tetrahedron, the cube, and the octahedron. In the 1850s, the Swiss mathematician Ludwig Schläfli described the six regular figures, or polytopes, that can exist in four-dimensional space. In 1880, W. I. Stringham, a fellow at Johns Hopkins University, wrote his Ph.D. dissertation on these figures. A few years later, the German mathematician and model maker Ludwig Brill published models of projections of polytopes. These examples on the right were purchased and displayed by Wesleyan University in Connecticut. GEOMETRIC MODELS OF POLYTYPES TOP OF PAGE College students studied figures that could be generated by the motion of straight lines. This

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