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Mathematics: Frontiers and Perspectives New edition Edition

by V. I. Arnold (Author, Editor), M. Atiyah (Editor), P. Lax (Editor),
3.8 out of 5 stars 4 customer reviews
ISBN-13: 978-0821826973
ISBN-10: 0821826972
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Product Details

  • Paperback: 459 pages
  • Publisher: Amer Mathematical Society; New edition edition (January 4, 2000)
  • Language: English
  • ISBN-10: 0821826972
  • ISBN-13: 978-0821826973
  • Product Dimensions: 1 x 7 x 9.8 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 3.8 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #645,080 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

7 of 9 people found the following review helpful
an excellent book
By A Customer on June 16, 2002
Format: Paperback
This is a wonderful collection of essays on the current state of mathematics, by some of the world's leading mathematicians. Some authors (e.g., Stanley and Sarnak) present lists of unsolved problems modelled after Hilbert's famous list. Others don't see that as useful, and instead outline the history, motivation, and current developments in their fields, or talk about neat related topics. All of the essays are fun to read, and a few (like the essay by Gowers) will become classics. Obviously, not every branch of mathematics can be represented in a single volume, but this book covers a rather broad spectrum, and does as well as anyone could reasonably expect, or even hope.
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35 of 50 people found the following review helpful
Dissapointing.
By Bernardo Vargas on July 18, 2000
Format: Hardcover
Judging from the publisher and the editors I expected to get a really outstanding book, but while reading it I got terribly dissapointed.
This book, with which the International Mathematical Union tried to emulate the famous list of problems proposed by David Hilbert in 1900, together with his description of the state of mathematics those days, totally fails to survey the state of this science in the year 2000 and does even less to present a comprehensive list of important problems in all branches of mathematics that should be solved in the 21st century.
The editors - all of them highly respected and renowned mathematicians - didn't make a strong effort to collect the opinion of several other high-ranked colleagues; instead they asked their buddies and pupils for contribution. I really would like to read something about the topic from Elias Stein, Steven Krantz, or Serge Lang, to name just a few. Also, the editors could have done something to reach some kind of agreement among the contributors; while some pose some problems of their own interest others claim that even trying to imitate Hilbert is nonsense. Some dissert on the interaction between mathematics and physics (there's even one who claims that mathematics is a part of physics) but almost none pays attention to the newer ineractions between mathematics and other disciplines. It seems that they haven't realized that nowadays most of the motivation for difficult and interesting problems comes from such areas as economics, communications, military and computer science. Its surprising that almost all of the contributors still think that theoretical physics is the main supplier of mathematical problems.Read more ›
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Four Stars
By Yan Jiang on May 24, 2015
Format: Paperback Verified Purchase
Good!
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3 of 14 people found the following review helpful
That Hundred Years, and (well), The Next Hundred
By Peter J. Reynolds on August 11, 2006
Format: Paperback Verified Purchase
I have perused my new book, and am delighted with it. Technically, I can't get too deeply into the 'Big Five' topics(number, geometry, topology, fractals, and probability), but I am writing in hopes that I could recommend three associated works: Steven Hawking's 'GOD CREATED THE INTEGERS', Benjamin

Yandell's 'THE HONORS CLASS', and (of course) Morris Klein's

wonderful 'MATHEMATICS'(The Loss of Certainty). I am sure that

professional mathematicians are familiar with these works, but

they might really 'get you in the mood' for Mr. Arnold's book.
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