The Hilbert Challenge: A Perspective on Twentieth Century Mathematics

The Hilbert Challenge: A Perspective on Twentieth Century Mathematics

by Jeremy J. Gray
     
 

ISBN-10: 0198506511

ISBN-13: 9780198506515

Pub. Date: 01/28/2001

Publisher: Oxford University Press, USA


Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat's last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century. A hundred years later, this book takes a fresh look at the…  See more details below

Overview


Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat's last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century. A hundred years later, this book takes a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating book, the authors consider what makes this the pre-eminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics. It is written in a clear and entertaining style and will appeal to anyone with interest in mathematics or those mathematicians willing to try their hand at these problems.

Product Details

ISBN-13:
9780198506515
Publisher:
Oxford University Press, USA
Publication date:
01/28/2001
Edition description:
New Edition
Pages:
328
Product dimensions:
5.50(w) x 8.30(h) x 1.10(d)

Table of Contents

1. The future unveiled
2. The shaping of a pioneer
3. The beacons are lit
4. The early response: 1900-1914/18
5. Between the wars: foundations examined
6. After 1945
7. Epilogue
Appendix 1: The Hilbert problems 1900-1999
Appendix 2: Logical matters
Glossary
General references
Index

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