Download e-book for kindle: The Princeton Companion to Mathematics by Timothy Gowers, June Barrow-Green, Imre Leader
By Timothy Gowers, June Barrow-Green, Imre Leader
This is a unique reference for somebody with a major curiosity in arithmetic. Edited by means of Timothy Gowers, a recipient of the Fields Medal, it offers approximately 200 entries, written particularly for this e-book by means of the various world's prime mathematicians, that introduce simple mathematical instruments and vocabulary; hint the advance of recent arithmetic; clarify crucial phrases and ideas; learn center principles in significant parts of arithmetic; describe the achievements of ratings of recognized mathematicians; discover the influence of arithmetic on different disciplines comparable to biology, finance, and music--and a lot, even more.
Unparalleled in its intensity of insurance, The Princeton better half to Mathematics surveys the main energetic and intriguing branches of natural arithmetic, delivering the context and extensive point of view which are important at a time of accelerating specialization within the box. filled with info and offered in an available variety, this is often an critical source for undergraduate and graduate scholars in arithmetic in addition to for researchers and students trying to comprehend components outdoors their specialties.
* positive aspects approximately 2 hundred entries, geared up thematically and written by way of a global crew of uncommon participants
* offers significant rules and branches of natural arithmetic in a transparent, available type
* Defines and explains very important mathematical options, tools, theorems, and open difficulties
* Introduces the language of arithmetic and the targets of mathematical study
* Covers quantity idea, algebra, research, geometry, common sense, chance, and extra
* strains the historical past and improvement of recent arithmetic
* Profiles greater than ninety-five mathematicians who stimulated these operating this day
* Explores the impact of arithmetic on different disciplines
* comprises bibliographies, cross-references, and a complete 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