This is a unique reference for an individual with a major curiosity in arithmetic. Edited through Timothy Gowers, a recipient of the Fields Medal, it provides approximately 200 entries, written specially for this booklet by means of the various world's top mathematicians, that introduce uncomplicated mathematical instruments and vocabulary; hint the improvement of recent arithmetic; clarify crucial phrases and ideas; research middle rules in significant components of arithmetic; describe the achievements of rankings of recognized mathematicians; discover the influence of arithmetic on different disciplines resembling biology, finance, and music--and a lot, a lot more.
Unparalleled in its intensity of assurance, The Princeton significant other to Mathematics surveys the main lively and intriguing branches of natural arithmetic, offering the context and wide viewpoint which are very important at a time of accelerating specialization within the box. choked with info and awarded in an obtainable variety, this can be an imperative source for undergraduate and graduate scholars in arithmetic in addition to for researchers and students looking to comprehend components outdoor their specialties.
- Features approximately 2 hundred entries, geared up thematically and written via a global crew of unusual contributors
- Presents significant rules and branches of natural arithmetic in a transparent, available style
- Defines and explains vital mathematical thoughts, equipment, theorems, and open problems
- Introduces the language of arithmetic and the pursuits of mathematical research
- Covers quantity thought, algebra, research, geometry, common sense, chance, and more
- Traces the background and improvement of contemporary mathematics
- Profiles greater than ninety-five mathematicians who prompted these operating today
- Explores the impression of arithmetic on different disciplines
- Includes bibliographies, cross-references, and a entire index
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