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The Princeton Companion to Mathematics,   ISBN:9780691118802

     
  The Princeton Companion to Mathematics

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Binding: Hardcover
Release Date: September 2008
List Price: $99.00

Average Customer Rating:
Score = 5.0 Score = 5.0 Score = 5.0 Score = 5.0 Score = 5.0

ISBN-13: 9780691118802
ISBN-10: 0691118809
Artist: Editor: Timothy Gowers, June Barrow-Green, Imre
Publisher: Princeton University Press
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Summaries and Customer Reviews are supplied by Amazon.com

Summary:

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, providing the context and broad perspective that are vital at a time of increasing specialization in the field. Packed with information and presented in an accessible 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.

  • Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors
  • Presents major ideas and branches of pure mathematics in a clear, accessible style
  • Defines and explains important mathematical concepts, methods, theorems, and open problems
  • Introduces the language of mathematics and the goals of mathematical research
  • Covers number theory, algebra, analysis, geometry, logic, probability, and more
  • Traces the history and development of modern mathematics
  • Profiles more than ninety-five mathematicians who influenced those working today
  • Explores the influence of mathematics on other disciplines
  • Includes bibliographies, cross-references, and a comprehensive 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 Gray, Ben Green, 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 Leader, 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 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, 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

Customer Reviews:

Average Customer Rating: Score = 5.0 Score = 5.0 Score = 5.0 Score = 5.0 Score = 5.0

Love at First Sight
Customer Rating:  Score = 5 Score = 5 Score = 5 Score = 5 Score = 5

It's hard to come up with anything to add to the excellent reviews everyone else has already written. I honestly can't imagine anyone with more than a passing interest in higher mathematics who wouldn't love this book, and I'm the kind of guy who falls asleep as soon as Euclid gets past his undefined terms. Ladies: Is there a mathematician or wannabe mathematician in your life? Buy him this book, and he'll be your love slave forever.

Couldn't be better
Customer Rating:  Score = 5 Score = 5 Score = 5 Score = 5 Score = 5

Little if anything to add to what has already been said at length by other reviewers. The Princeton Companion to Mathematics is a genuine joy. Very well edited, presented, written. Accessible to a wide variety of readers (I studied a good deal of math in college, but very little in the years since). And above all, extraordinarily thorough. Along with something like the outstanding "What is Mathematics?" by Courant (et al.), almost any competent reader of any background can find something rewarding here.

An (almost) non-human companion
Customer Rating:  Score = 5 Score = 5 Score = 5 Score = 5 Score = 5

This is a huge collection of essays and mathematical knowledge. The book is not an encyclopedia, but rather a "companion" in the human sense of the word. It knows some of (almost) everything. Worth to mention are the essays at the end titled "Advice to a young mathematician", which really inspired me in my mathematics studies. A must-have for every student of mathematics :)

Math wannabe
Customer Rating:  Score = 5 Score = 5 Score = 5 Score = 5 Score = 5

At times heavy going, but mostly readable by those with minimal advanced maths, Well worth the money.

Mathematics Companion
Customer Rating:  Score = 5 Score = 5 Score = 5 Score = 5 Score = 5

This is the second copy of the book I purchase. The first one was for me and my son. This one is a gift for a friend of my son, a high school student, with a hope that it will remain her companion for many years. This clearly indicates how I rate the book. In my currency (rupee) the price is at the higher side. But I do not complain much. It is worth buying this magnum opus. It has wide coverage in a mostly understandable form. I really enjoy reading. I cannot compare it with Timothy Gowers earlier text, Mathematics: a short Introduction. I do not have a copy. But then I believe that they cannot be compared simply because of difference in sizes. I do not have anything similar to PMC in my collection. It is just great.

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