| The Princeton Companion to Mathematics Contributor(s): Gowers, Timothy (Editor), Barrow-Green, June (Editor), Leader, Imre (Editor) |
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ISBN: 0691118809 ISBN-13: 9780691118802 Publisher: Princeton University Press OUR PRICE: $98.51 Product Type: Hardcover - Other Formats Published: September 2008 Annotation: What is a modular form? What is the point of symplectic geometry? This one-of-a-kind reference illuminates modern pure mathematics in all its diversity. More than 200 articles, organized thematically and written by many of the world's leading mathematicians, explain the major ideas and branches of mathematics in a clear, accessible style. Presenting not only definitions but also motivation and context for concepts, methods, theorems, and other topics of mathematical study, this is an indispensable resource for everyone with a serious interest in the field. 1. What is Mathematics?Introduces the language and grammar of mathematicsfundamental definitionsgeneral goals of mathematical researchthe subject matter of mathematics 2. The Fundamental Ideas of MathematicsExplores algebraalgorithmsgeometryhow analysis became rigorousnumbersthe crisis in the foundations of mathematics the development of the idea of proof 3. Mathematical ObjectsDefines and explains more than 75 mathematical objects, concepts, and buzzwords, from "axiom of choice" to "zeta function" 4. Branches of MathematicsIncludes detailed coverage of algebraalgebraic geometryanalysiscombinatoricscomputationgeometrylogic and set theorynumber theoryprobability 5. MathematiciansProfiles 70 mathematicians, from Apollonius to Weyl, who influenced the field 6. Theorems and ProblemsDiscusses notable theorems and open problems, from the four-color theorem to the Reimann hypothesis 7. The Influence of MathematicsCovers the intellectual and practical influence of mathematics on other disciplines such as analytic philosophy, art, biology, chemistry, economics, finance, and music 8. MiscellaneousAdvice to a YoungMathematicianChronology of MathematicsComputer Experiments in MathematicsThe Art of Problem Solvingand more CONTRIBUTORS (partial list): Graham Allan ?? Noga Alon ?? George Andrews ?? Tom Archibald ?? Michael Atiyah ?? David Aubin ?? Joan Bagaria ?? Keith Ball ?? Alan Beardon ?? David Ben-Zvi ?? Vitaly Bergelson ?? Nick Bingham ?? Bela Bollabas ?? Henk Bos ?? Bodil Branner ?? Haim Brezis ?? Martin Bridson ?? John Burgess ?? Kevin Buzzard ?? Peter Cameron ?? Jean-Luc Chabert ?? Eugenia Cheng ?? Clifford Cocks ?? Alain Connes ?? Leo Corry ?? Wolfgang Coy ?? Tony Crilly ?? Serafina Cuomo ?? Mihalis Dafermos ?? Partha Dasgupta ?? Ingrid Daubechies ?? Joseph Dauben ?? John Dawson ?? Fran?ois de Gandt ?? Persi Diaconis ?? Robbert Dijkgraaf ?? Jordan Ellenberg ?? Florence Fasanelli ?? Solomon Feferman ?? Anita Feferman ?? Charles Fefferman ?? Jos? Ferreir's ?? Terry Gannon ?? Tony Gardiner ?? Charles Gillespie ?? Oded Goldreich ?? Catherine Goldstein ?? Fran?ois Golse ?? Fernando Gouvea ?? Andrew Granville ?? Ivor Grattan-Guinness ?? Jeremy Gray ?? Ben Green ?? Niccolo Guicciardini ?? Michael Harris ?? Ulf Hashagen ?? Nigel Higson ?? Andrew Hodges ?? Kollar Janos ?? Frank Johnson ?? Mark Joshi ?? Dominic Joyce ?? Jean-Pierre Kahane ?? Frank Kelly ?? Sergiu Klainerman ?? Jon Kleinberg ?? Israel Kleiner ?? Jacek Klinowski ?? Eberhard Knobloch ?? Joe Kohn ?? Tom Korner ?? Peter Lax ?? Jean-Fran?ois Le Gall ?? Raymond Lickorish ?? Martin Liebeck ?? Jesper Lutzen ?? Des MacHale ?? Lech Maligranda ?? David Marker ?? Adrian Mathias ?? Jean Mawhin ?? Barry Mazur ?? Colin McLarty ?? Peter Neumann ?? Catherine Nolan ?? James Norris ?? Marco Panza ?? Karen Parshall ?? Jeanne Peiffer ?? CarlPomerance ?? Helmut Pulte ?? Bruce Reed ?? Mike Reed ?? Adrian Rice ?? Jeremy Rickard ?? Eleanor Robson ?? Igor Rodnianski ?? John Roe ?? Mark Ronan ?? Edward Sandifer ?? Norbert Schappacher ?? Andrzej Schinzel ?? Erhard Scholz ?? Joachim Schwermer ?? Gordon Slade ?? David Spiegelhalter ?? Neil Strickland ?? Arild Stubhaug ?? Madhu Sudan ?? Terence Tao ?? Jamie Tappenden ?? Cliff Taubes ?? Rudiger Thiele ?? Nick Trefethen ?? Dirk van Dalen ?? Richard Weber ?? Dominic Welsh ?? Avi Wigderson ?? Herbert Wilf ?? David Wilkins ?? Ben Yandell ?? Doron Zeilberger If you would like to receive information later this year about a pre-publication offer for this book, please send an email to: webmaster@pupress.princeton.edu |
| Additional Information |
| BISAC Categories: - Mathematics | Study & Teaching - Mathematics | Reference |
| Dewey: 510 |
| LCCN: 2008020450 |
| Physical Information: 2.63" H x 8.38" W x 10.31" (5.70 lbs) 1056 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.
Contributors incude: Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, B la Bollob s, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, Jos Ferreir s, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouv a, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccol Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, J nos Koll r, T. W. K rner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-Fran ois Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper L tzen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, R diger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger |