By Timothy Gowers, June Barrow-Green, Imre Leader

ISBN-10: 0691118809

ISBN-13: 9780691118802

This is a extraordinary reference for an individual with a significant curiosity in arithmetic. Edited by way of Timothy Gowers, a recipient of the Fields Medal, it offers approximately 2 hundred entries, written specifically for this publication through a number of the world's best mathematicians, that introduce simple mathematical instruments and vocabulary; hint the improvement of recent arithmetic; clarify crucial phrases and ideas; study center rules in significant components of arithmetic; describe the achievements of ratings of recognized mathematicians; discover the impression of arithmetic on different disciplines reminiscent of biology, finance, and music--and a lot, even more.

Unparalleled in its intensity of assurance, The Princeton significant other to arithmetic surveys the main lively and interesting branches of natural arithmetic, supplying the context and large standpoint which are important at a time of accelerating specialization within the box. full of info and provided in an obtainable variety, this is often an quintessential source for undergraduate and graduate scholars in arithmetic in addition to for researchers and students looking to comprehend parts outdoors their specialties.

- Features approximately two hundred entries, geared up thematically and written by means of a global workforce of individual members
- Presents significant rules and branches of natural arithmetic in a transparent, available sort
- Defines and explains vital mathematical techniques, equipment, theorems, and open difficulties
- Introduces the language of arithmetic and the objectives of mathematical examine
- Covers quantity idea, algebra, research, geometry, good judgment, likelihood, and extra
- Traces the heritage and improvement of contemporary arithmetic
- Profiles greater than ninety-five mathematicians who inspired these operating this day
- Explores the effect of arithmetic on different disciplines
- Includes bibliographies, cross-references, and a complete index

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, Béla Bollobás, 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, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy grey, Ben eco-friendly, Ian Grojnowski, Niccolò 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, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre chief, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, 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 starvation 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, Rüdiger 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