21. Members Of The School Of Mathematics Translate this page reidemeister, kurt W. RYSER, Herbert J. SANTAL, Luis A. SEIFERT, Herbert SHERMAN,Seymour SILVERMAN, Edward TRANSUE, William R. von Laue, Max WONG, Yue Kei http://www.math.ias.edu/1940.html

AMBROSE, Warren BOURGIN, David G. BRAUER, Alfred T. EWING, George M. FRINK, Orrin, Jr. GÖDEL, Kurt HALMOS, Paul R. HEINS, Maurice H. KAKUTANI, Shizuo MAHARAM, Dorothy MUHLY, Harry T. PALL, Gordon SCHWARTZ, Abraham SHANNON, Claude E. SHERMAN, Seymour SIEGEL, Carl L. TAUB, Abraham H. THRALL, Robert M. TRJITZINSKY, Waldemar J. BLACKWELL, David H. BRAUER, Alfred T. BRAUER, Richard D. CALKIN, John W. DAVIDS, Norman DOOB, Joseph L. FUBINI, Guido GÖDEL, Kurt HALMOS, Paul R. HEINS, Maurice H. HOCHSCHILD, Gerhard P. HURWITZ, Wallie A. KAKUTANI, Shizuo KALISCH, Gerhard K. KOLCHIN, Ellis R. MACKEY, George W. MAHARAM, Dorothy MONTGOMERY, Deane SAMELSON, Hans SAVAGE, Leonard J. SCHENBERG, Mario SIEGEL, Carl L. STONE, Arthur H. TARSKI, Alfred THRALL, Robert M. WHAPLES, George W. COHEN, Irvin S. GÖDEL, Kurt McMILLAN, Audrey W. SIEGEL, Carl L. TRANSUE, William R. WADE, Luther I., Jr. WILKINS, J. Ernest, Jr. YAGI, Fumio CHERN, Shiing-shen GÖDEL, Kurt

22. Members Of The School Of Mathematics Translate this page reidemeister, kurt W. 1948-50. REIDER, Igor, 1988-90. REIMER, David, 1996-97.REINER, Irving, 1947-48, 1954-56. REINGOLD, Omer, 1999-04 http://www.math.ias.edu/rnames.html

RABIN, Michael O. RACINET, Georges RADEMACHER, Hans RADER, Cary B. RADJAVI, Heydar RADÓ, Tibor RÅDSTRÖM, Hans V. RAGAB, Fouad M. RAGHAVAN, Srinivasacharya RAGHUNATHAN, Madabusi S. RALLIS, Stephen J. RAMACHANDRA, Kanakanahalli RAMACHANDRAN, Doraiswamy RAMADAS, T.R. RAMAKRISHNAN, Dinakar RAMANAN, Sundararaman RAMANATHAN, Annamala RAMANATHAN, K. Gopalaiyer RAMARÉ, Olivier RAMÍREZ de ARELLANO, Enrique RAMSEY, James RAN, Ziv RANDALL, Dana RANDELL, Richard C. RANDELS, William C. RANDOL, Burton S. RANDOLPH, John F. RANGACHARI, Sundaravaradan S. RANICKI, Andrew A. RAO, Malempati M. RAO, R. Ranga RAO, Ravi A. RAPHAEL, Pierre RAPOPORT, Michael RAPTI, Zoi RASMUSSEN, Jacob RASSART, Etienne RATCLIFFE, John G. RAUCH, Harry E. RAUCH, Jeffrey RAVENEL, Douglas C. RAY, Daniel B. RAYMOND, Frank A. RAYNAUD, Michel RAZ, Ran RAZBOROV, Alexander READDY, Margaret REDDY, Alru Raghuram REDDY, William L. REEB, Georges REES, Elmer G. REES, Mary S. REGEV, Oded REICH, Edgar REID, William T. REIDEMEISTER, Kurt W. REIDER, Igor REIMER, David REINER, Irving REINGOLD, Omer REINHARDT, William N. REITER, Hans J.

23. Reviews For Reidemeister Knot Theory. kurt reidemeister This book is a 1983 translation of the 1932celebrated book by kurt reidemeister. It is subdivided into three chapters. http://www.harbornet.com/bcsassociates/rev_rei.html

[Home ] Title List Tables of Contents and Reviews] Ordering Information Knot Theory Kurt Reidemeister Reviewed for Topology Atlas by Corinne Cerf KNOT THEORY by K. REIDEMEISTER. Originally published as KNOTENTHEORIE by K. REIDEMEISTER, Ergebnisse der Mathematik und ihrer Grenzgebiete, Alte Folge, Band 1, Heft 1, SPRINGER, Berlin, 1932. Translated from the German and edited by L. F. BORON, C. O. CHRISTENSON, and B. A. SMITH, BSC ASSOCIATES, Moscow, Idaho, U.S.A., 1983. This book is a 1983 translation of the 1932 celebrated book by Kurt Reidemeister. It is subdivided into three chapters. The first one is an introduction to knots and braids, including (a sketch of) the original proof that two knots are equivalent if and only if their projections are related by a finite sequence of the three so-called Reidemeister moves. The second chapter describes the main knot invariants obtainable from matrices, like linking numbers, torsion numbers, determinants, and L-polynomials, now called normalized Alexander polynomials, that have been discovered independently by Reidemeister and Alexander. The third chapter deals with knot groups: definition by generators and relations from a projection, invariance, equivalence with the fundamental group of the knot complement, calculation of the group of special families of knots. A group-theoretic interpretation of the matrices and L-polynomials of Chapter II is given.

24. Table Of Contents For Reidemeister This book is a 1983 translation of the 1932 celebrated book by kurt reidemeister.It is subdivided into three chapters. The first one is an introduction to http://www.harbornet.com/bcsassociates/toc_rei.html

[Home ] Title List Tables of Contents and Reviews] Ordering Information Knot Theory by K. Reidemeister Reviewed for Topology Atlas by Corinne Cerf KNOT THEORY by K. REIDEMEISTER. Originally published as KNOTENTHEORIE by K. REIDEMEISTER, Ergebnisse der Mathematik und ihrer Grenzgebiete, Alte Folge, Band 1, Heft 1, SPRINGER, Berlin, 1932. Translated from the German and edited by L. F. BORON, C. O. CHRISTENSON, and B. A. SMITH, BSC ASSOCIATES, Moscow, Idaho, U.S.A., 1983. This book is a 1983 translation of the 1932 celebrated book by Kurt Reidemeister. It is subdivided into three chapters. The first one is an introduction to knots and braids, including (a sketch of) the original proof that two knots are equivalent if and only if their projections are related by a finite sequence of the three so-called Reidemeister moves. The second chapter describes the main knot invariants obtainable from matrices, like linking numbers, torsion numbers, determinants, and L-polynomials, now called normalized Alexander polynomials, that have been discovered independently by Reidemeister and Alexander. The third chapter deals with knot groups: definition by generators and relations from a projection, invariance, equivalence with the fundamental group of the knot complement, calculation of the group of special families of knots. A group-theoretic interpretation of the matrices and L-polynomials of Chapter II is given.

25. Knot Theory Online - The Web Site For Learning More About Mathematical Knot Theo Finally, German mathematician kurt reidemeister (18931971) proved that all the In 1926, kurt reidemeister (ride-a-my-stir) proved that if we have http://www.freelearning.com/knots/intro.htm

Intro to Knots This page introduces you to the basics of mathematical Knot Theory, with terms and pictures. Links on this site: [HOME] [HISTORY] [INTRO] [ADVANCED] ... KT HOME Main Page KT HISTORY History of Knot Theory INTRO TO KNOTS What are knots? ADVANCED KT Knot Theory in the Real World KT ACTIVITIES Online activities with knots for you to try KNOT FUNNY Interesting facts, knot-knot jokes, and knotty pictures... INTRODUCTION TO KNOTS: On this page you can view each of the following topics, just click to jump to each section: 1) What is a "mathematical" knot? 2) The Central Problem of Knot Theory 3) How do we work with knots? (The Reidemeister moves) 4) Classifying different knots ... 6) Close cousins - Knots vs. Links 1) What is a "mathematical" knot? [^back to top] In order to get started working with knots, we need to understand what mathematicians mean by the term "knots". A "mathematical" knot is just slightly different from the knots we see and use every day. First, take a piece of string or rope. Tie a knot in it. Now, glue or tape the ends together. You have created a mathematical knot.

26. Math Lessons - Kurt Reidemeister Math Lessons kurt reidemeister. kurt reidemeister. kurt Werner Friedrichreidemeister (October 13, 1893 - July 8, 1971) was a mathematician born in http://www.mathdaily.com/lessons/Kurt_Reidemeister

Search Mathematics Encyclopedia and Lessons Lessons Popular Subjects algebra arithmetic calculus equations ... more References applied mathematics mathematical games mathematicians more ... Mathematicians Kurt Reidemeister Kurt Werner Friedrich Reidemeister October 13 July 8 ) was a mathematician born in Brunswick Germany . He received his doctorate in with a thesis in algebraic number theory . In he was appointed assistant professor at the University of Vienna . While there he became familiar with the work of Hahn and Wirtinger . In he became full professor at Königsberg , where he stayed until , when he was forced to leave because of his opposition of the Nazis Reidemeister's interests were mainly in combinatorial group theory combinatorial topology , and the foundations of geometry . His books include Knoten und gruppen (1926), Einführung in die kombinatorische Topologie (1932), and Knotentheorie (1932). He is known for Reidemeister moves (see Knot theory ) and Reidemeister torsion . Categories 1893 births 1971 deaths Mathematicians Last updated: 09-02-2005 16:50:46 algebra arithmetic calculus equations ... mathematicians

27. Kurt Heegner -- Facts, Info, And Encyclopedia Article kurt Heegner (18931965) was a (Capital of Germany located in eastern Germany)Berlin (A public kurt reidemeister EM Wright Carl Hindenburg http://www.absoluteastronomy.com/encyclopedia/k/ku/kurt_heegner.htm

Kurt Heegner [Categories: Mathematicians] Kurt Heegner (1893-1965) was a (Capital of Germany located in eastern Germany) Berlin (A public secondary school usually including grades 9 through 12) high school (A person whose occupation is teaching) teacher and (A communication system based on broadcasting electromagnetic waves) radio (A person who uses scientific knowledge to solve practical problems) engineer now famous for his mathematical discoveries. In 1952 Heegner published what he claimed was the solution of (A unit of magnetic flux density equal to 1 maxwell per square centimeter) Gauss' (Click link for more info and facts about class number 1 problem) class number 1 problem , a significant and longstanding problem in (Click link for more info and facts about number theory) number theory . Owing partly to a few minor mistakes in the paper, partly to his refusal of invitations to give talks on his solution, and partly to the reluctance of professional mathematicians to accept the work of an amateur, Heegner's work went unnoticed for years. Heegner's proof was finally recognized in 1967 when (Click link for more info and facts about Harold Stark) Harold Stark independently arrived at a similar proof, which was shown to be equivalent to Heegner's.

28. Knot Theory -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about kurt reidemeister) kurt reidemeister, These operations, now called the reidemeister moves, are http://www.absoluteastronomy.com/encyclopedia/k/kn/knot_theory.htm

Knot theory [Categories: Knot theory, Geometric topology, Algebraic topology] Knot theory is a branch of (The configuration of a communication network) topology that was inspired by observations, as the name suggests, of (Any of various fastenings formed by looping and tying a rope (or cord) upon itself or to another rope or to another object) knot s. But progress in the field no longer depends on experiments with twine. Knot theory concerns itself with abstract properties of (Click link for more info and facts about theoretical knots) theoretical knots In (Click link for more info and facts about mathematical) mathematical (Specialized technical terminology characteristic of a particular subject) jargon , knots are (Click link for more info and facts about embedding) embedding s of the closed circle in three-dimensional space. An ordinary knot is converted to a mathematical knot by splicing its ends together. The topological theory of knots asks whether two such knots can be rearranged to match, without opening the splice. The question of untying an ordinary knot has to do with unwedging tangles of rope pulled tight. A knot can be untied in the topological theory of knots if and only if it is equivalent to the unknot , a circle in 3-space.

29. Knot Theory Vocabulary: Reidemeister Moves kurt reidemeister was able to prove that any ambient isotopy with knots and linkscan be expressed in the terms of only three types of moves. http://library.thinkquest.org/12295/data/Vocabulary/Reidemeister_Moves.html

Kurt Reidemeister was able to prove that any ambient isotopy with knots and links can be expressed in the terms of only three types of moves. These became known as the Reidemeister Moves Below is an image showing the three Reidemeister Moves . A type I move adds or removes a trivial crossing. A type II move adds or removes a trivial arc and two crossings. A type III move allows an arc to be moved to the other side of a crossing. OpenImage("../TypeI"); OpenImage("../TypeII"); OpenImage("../TypeIII"); I II III See Also: Articles An Introduction to Knot Theory

30. An Introduction To Knot Theory: The Reidemeister Moves kurt reidemeister was able to prove that any ambient isotopy can be performedwith only three types of moves. These moves became known as the reidemeister http://library.thinkquest.org/12295/data/Knots/Articles/Knots_I_1.html

The Reidemeister Moves An important consideration in finding an isotopy invariant is how a knot can be bent and twisted into another. Such bending and twisting is known as an ambient iosotopy , or just as an isotopy . Two or more knots that can be turned into each other through an ambient isotopy are considered ambiently isotopic , or isotopic in respect to each other. Finally, any group of knots that are isotopic in respect to each other belong to the same isotopic class Kurt Reidemeister was able to prove that any ambient isotopy can be performed with only three types of moves. These moves became known as the Reidemeister moves Although not a true Reidemeister move, there is a move that allows strands to be changed in shape and length without affecting any crossings. This move is usually written as R The first Reidemeister move, shown below and denoted with R , simply adds or removes one crossing through a simple loop. The second Reidemeister move, denoted with R , adds or removes two crossings simultaneously from a knot. The third Reidemeister move, denoted with

31. Lakatos Collection Authors Q-S reidemeister, kurt, 1893 Raum und Zahl. Berlin Springer, 1957. QA9.A5 R35 LAK.Normal loan. Reilly, Francis Eagan, 1922- Charles Peirce s theory of http://library-2.lse.ac.uk/collections/lakatos/lakatos_q.htm

Home Help Search Index ... LSEforYou You are here - Welcome to LSE Library What's in the Library? Electronic Library Lakatos Collection Authors Q-S Queneau, Raymond, 1903-1976. Mathematik von morgen. [Aus dem Französischen von Hans Naumann und Alexander von Platen.] [München] Nymphenburger Verlagshandlung [1967] (Sammlung Dialog, 17). QA36 Q3 LAK. Normal loan Quine, W. V. (Willard Van Orman) Logique élémentaire / Willard Van Orman Quine ; traduction de Jean Largeault [et] Bertrand Saint-Sernin. Paris: A. Colin, 1972. (Collection U2.). BC135 Q7 LAK. Normal loan Quine, W. V. (Willard Van Orman) Selected logic papers / W.V. Quine. New York : Random House, [1966]. ISBN 0674798368 . BC135 Q7 LAK. Normal loan Quine, W. V. (Willard Van Orman), 1908- Elementary logic / Willard Van Orman Quine. Quine, W. V. (Willard Van Orman), 1908- Logika módszerei / Willard Van Orman Quine. Budapest : Kiadó, 1968. BC71 Q7 LAK. Normal loan Quine, W. V. (Willard Van Orman), 1908- Methods of logic / by Willard van Orman Quine. London : Routledge and Kegan Paul, 1952. BC71 Q7 LAK. Held in Archives Quine, W. V. (Willard Van Orman), 1908-

32. Kurt Reidemeister's Contributions To Knot Theory: Epistemic Configurations In Ma Abstract In 1932, the German mathematician kurt reidemeister published a littlebooklet entitled Knotentheorie . It was the first monography in a field http://www.ivh.au.dk/kollokvier/moritz_epple_27_10_99.dk.html

Institutkollokvium ved Institut for Videnskabshistorie Onsdag d. 27. 10. kl. 15 i koll. G4, Institut for Matematiske Fag Dr. Moritz Epple Dibner Institute, MIT, USA Kurt Reidemeister's contributions to knot theory: Epistemic configurations in mathematical research practice Abstract In 1932, the German mathematician Kurt Reidemeister published a little booklet entitled "Knotentheorie". It was the first monography in a field which was just about to emerge as an autonomous mathematical theory. Correspondingly, Reidemeister presented the young field in a rather modernistic style, based on "new elementary foundations" which he himself had proposed a few years earlier. A closer look at Reidemeister's research practice reveals, however, that his own main contributions to knot theory were NOT obtained within this new framework, but rather in a more traditional framework of geometric and topological thinking which he had encountered in Vienna. I will use this episode to introduce and to discuss some more general categories for an analysis of mathematical research practice. These categories are intended to highlight the highly local and time-bound character of (at least modern) mathematical research. Bemærk: Onsdag På gensyn Kirsti Andersen 521-117, 8942 3507, ivhka@ivh.au.dk

33. Knot Theory: Information From Answers.com JW Alexander and GB Briggs, and independently kurt reidemeister, demonstratedthat two These operations, now called the reidemeister moves, are http://www.answers.com/topic/knot-theory

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping knot theory Wikipedia knot theory Trefoil knot, the simplest non-trivial knot. Knot theory is a branch of topology that was inspired by observations, as the name suggests, of knots . But progress in the field no longer depends on experiments with twine. Knot theory concerns itself with abstract properties of theoretical knots In mathematical jargon , knots are embeddings of the closed circle in three-dimensional space. An ordinary knot is converted to a mathematical knot by splicing its ends together. The topological theory of knots asks whether two such knots can be rearranged to match, without opening the splice. The question of untying an ordinary knot has to do with unwedging tangles of rope pulled tight. A knot can be untied in the topological theory of knots if and only if it is equivalent to the unknot , a circle in 3-space. History Knot theory originated in an idea of Lord Kelvin 's (1867), that atoms were knots of swirling vortices in the

34. Mathematics List Pt. 9. reidemeister, kurt. Knoten und Gruppen 723 pp. Mathematischen Seminar desHamburgischen Universitat. Band V, Helf 1/2. Teubner Leipzig 1926. http://www.significantbooks.com/mthl9.htm

Go back to Catalog Lists To inquire about any of these items contact us by e-mail at: inquire@significantbooks.com Start of Math page 9. Go To Math page Mathematics List Page 9. Authors, Pr. thru St. National Academy of Sciences. Mathematical Sciences: Undergraduate Education. 113 pg. Washington DC. 1968 ( Softcover rebound as a hardback ) Good condition, ExLibrary. (From the forward: ... our task was to assess the present status and the projected future needs, especially fiscal needs. ... ) MATH10651 $20.00 Nat. Counc Teachers of Math. Significant Changes and Trends in The Teaching Math... 186 pg. NTCM 1929. 4th. Yearbook VG EXLib MATH10652 $20.00 National Council of Teachers of Mathematics. Robert S. Fouch, Editor. Evaluation in Mathematics. 26th. Yearook. 216 pp. NCTM. 1961. (Hardback) Good condition, ExLibrary. MATH10656 $10.00 Naumkin, P. I. and I. A. Shishmarev Nonlinear Nonlocal Equations in the Theory of Waves. 289 pp. American Mathematical Society. ( 1994 ) ( Hardback ) Very good condition. (Translations of Mathematical Monographs, Vol. 133 ) MATH13583 $50.00 Nazareth, J. L.

35. Knot Theory kurt reidemeister showed in 1932 that any diagram of a knot can be turned intoany other diagram of the same knot using a kit of 3 moves called the http://f2.org/maths/kt/

Up to Home Maths Site Map Text version Knot Theory Fred Curtis - Mar 2001] This page is a tiny introduction to Knot Theory. It describes some basic concepts and provides links to my work and other Knot Theory resources. What is Knot Theory? My Interests Old papers I'm typing up References What is Knot Theory? Knot theory is a branch of mathematics dealing with tangled loops. When there's just one loop, it's called a knot . When there's more than one loop, it's called a link and the individual loops are called components of the link. A picture of a knot is called a knot diagram or knot projection . A place where parts of the loop cross over is called a crossing . The simplest knot is the unknot or trivial knot , which can be represented by a loop with no crossings. The big problem in knot theory is finding out whether two knots are the same or different. Two knots are regarded as being the same if they can be moved about in space, without cutting, to look exactly like each other. Such a movement is called an ambient isotopy - the ambient refers to moving the knot through 3-dimensional space, and

36. Dictionary Of The History Of Ideas kurt reidemeister (also a mathematician who called the circle s attention toLudwig Wittgenstein s Tracta tus Logico-Philosophicus), Otto Neurath (sociolo- http://etext.lib.virginia.edu/cgi-local/DHI/dhi.cgi?id=dv3-69

37. Motivate : Stephen's Talk In 1926 the topologist kurt reidemeister proved that two projections of the sameknot can be related by a sequence of moves, which we now call the http://motivate.maths.org/conferences/conf28/c_28_talk.shtml

@import url(../../motivate.css); /*IE and NN6x styles*/ Home Conferences Get involved! Archive ... Publications ABOUT MOTIVATE about our conferences conference charges ... contact us CONFERENCE PROGRAMMES mathematics science cross-curricular Back to : Knots Main Page Display maths using: fonts images Need help? Knots Introduction There is a really good web site for knots, called “The KnotPlot Site”, created by Robert Scharein. In particular, under the heading "Knot tables" on the page http://www.cs.ubc.ca/nest/imager/contributions/scharein/knot-theory/knot-theory.html there is a beautiful display of 16 knots. Here they are: The top row shows the trefoil knot, the figure-eight knot, two knots with five crossings, three knots with six crossings, and one with seven. The second row shows six more knots with seven crossings, and two with eight crossings. Altogether, there are 21 knots with eight crossings, and 49 with 9 crossings. In fact, if we just count prime knots, we have: Crossing number Number of prime knots We will be following the excellent book The Knot Book by Colin Adams, in working through a sequence of ideas and exercises. On the way, we will discover what the crossing number is, what a prime knot is, and we will also begin to see how this extraordinary table was drawn up. I have used the same exercise numbers as the book, even when I have slightly modified the wording.

38. Mathematische Fakultät Göttingen: Kurt Reidemeister Translate this page kurt reidemeister. reidemeister wurde am 13. Oktober 1893 in Braunschweig geboren.Er kam Anfang der zwanziger Jahre in Hamburg mit Blaschkes http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/reidemeister.

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Kurt Reidemeister Reidemeister wurde am 13. Oktober 1893 in Braunschweig geboren. Er kam Anfang der zwanziger Jahre in Hamburg mit Blaschkes Differentialgeometrie in Berührung. Das sollte für sein späteres Leben bestimmend werden: die Geometrie wurde sein eigentliches mathematisches Forschungsgebiet. Seine Untersuchungen erstrecken sich auf die Grundlagen der Geometrie bis hin zur Topologie. Forschungsgegenstände waren hier vor allem die Knotentheorie, die kombinatorische Topologie, der Homotopiekettenring. Viele der behandelten Fragestellungen fanden bei den Topologen erst ein größeres Interesse in den sechziger Jahren, die wir heute als eine Zeit höchster Blüte in der Topologie ansehen. Die Reidemeistertorsion, die im Anschluß an die Arbeiten Reidemeisters gefunden wurde, spielte dabei eine wesentliche Rolle. Seine über die Mathematik hinausragenden philosophischen und allgemein literarischen Interessen hat Reidemeister nie verkümmern lassen. In Wien (1922 - 1925) trat er der logischen Schule, dem Wiener Kreis näher. Ihn interessierte vor allem das mathematische Denken, wie etwas in der Mathematik bewiesen wird und auch unsere geometrische Anschauung, die unsere Psychologen heute die visuelle Mannigfaltigkeit nennen. Er fand, daß nur die berandeten Körper anschaulich sind. Reidemeister lehrte 1925 - 1933 in Königsberg, wurde 1933 zunächst entlassen, dann 1934 als Nachfolger von Hensel nach Marburg berufen und war ab 1955 in Göttingen. Am 8. Juli 1971 ist er hier gestorben.

39. GÖDEL AND THE NATURE OF MATHEMATICAL TRUTH II [7.27.05] - A Talk With Verena Hu Even at that time, mostly from stories that Pinze reidemeister told, I had adistinct impression that kurt Gödel never assimilated to American life, http://www.freerepublic.com/focus/f-news/1457348/posts

Free Republic Home Browse Search ... Edge - The Third Culture ^ Posted on 08/04/2005 10:18:33 PM PDT by II A Talk with Verena Huber-Dyson I doubt that pure philosophical discourse can get us anywhere. Maybe phenomenological narrative backed by psychological and anthropological investigations can shed some light on the nature of Mathematical Truth. As to Beauty in mathematics and the sciences, here speaks Sophocles' eyewitness in Antigone: "..... Why should I make it soft for you with tales to prove myself a liar? Truth is Right." Princeton, 1950s Photo by Oskar Morgenstern, Institute of Advanced Study Archives A true Realist, a true Platonist will not stoop to choose between Beauty and Truth, he will have the tenacity to stick it through until Truth is caught shining in her own Beauty. Sure there are messy proofs, we have to bushwhack trough a wilderness of ad hoc arguments, tours de force, combinatorial jungles, false starts and the temptations of definitions ever so slightly off target. Eventually, maybe not in our own lifetime, a good proof, a clear and beautiful proof will be honed out. VHD Self-Portrait Introduction She considers herself an Intuitionist, and this prompts the question she is asking herself:

40. American Mathematical Monthly, The: Knots: Mathematics With A Twist At this point it is worth making a digression about the reidemeister moves.In the 1920s kurt reidemeister proved an elementary and important theorem that http://www.findarticles.com/p/articles/mi_qa3742/is_200411/ai_n9471591

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles American Mathematical Monthly, The Nov 2004 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports Knots: Mathematics with a Twist American Mathematical Monthly, The Nov 2004 by Kauffman, Louis H Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. Knots: Mathematics with a Twist. By Alexei Sossinsky. Harvard University Press, Cambridge, MA, 2002, xix+127 pp. Cloth: ISBN 0-674-00944-4, $24.95. Paper: ISBN 0-674-01381-6, $14.95. INTRODUCTION. This is a brilliant and sharply written little book about knots and theories of knots. Listen to the author's preface: Butterfly knot, clove hitch knot, Gordian knot, hangman's knot, vipers' tangle-knots are familiar objects, symbols of complexity, occasionally metaphors for evil. For reasons 1 do not entirely understand, they were long ignored by mathematicians. A tentative effort by Alexandre-Th©ophile Vandermonde at the end of the eighteenth century was short-lived, and a preliminary study by the young Karl Friedrich Gauss was no more successful. Only in the twentieth century did mathematicians apply themselves seriously to the study of knots. But until the mid-198Os, knot theory was regarded as just one of the branches of topology: important, of course, but not very interesting to anyone outside a small circle of specialists (particularly Germans and Americans).

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 94    Back | 1  | 2  | 3  | 4  | 5  | Next 20