ヒルベルトの挑戦<br>The Hilbert Challenge

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ヒルベルトの挑戦
The Hilbert Challenge

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  • 製本 Hardcover:ハードカバー版/ページ数 315 p.
  • 言語 ENG
  • 商品コード 9780198506515
  • DDC分類 510.92

基本説明

Addresses the nature of Hilbert and his problems, and their significance for the problems, and their significance for the progress of mathematics in our time.

Full Description


David Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he brought to the setting of his famous 23 Problems. Few problems in mathematics have the status of those posed by DavidHilbert in 1900. Mathematicians have made their reputations by solving individual ones such as Fermat's last theorem, and several remain unsolved including the Riemann hypotheses, which has eluded all the great minds of this century. A hundred years on, it is timely to take a fresh look at theproblems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating new book, Jeremy Gray and David Rowe consider what has made 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. The book is written in a clear and lively manner and will appeal both to the general reader with aninterest in mathematics and to mathematicians themselves.

Contents

INTRODUCTION; HILBERT IN PARIS; HOW HILBERT CAME TO PARIS; PARIS IN MORE DETAIL; 1900-1918; 1918-1945; AFTER 1945; EPILOGUE; GLOSSARY; APPENDIX 1: APPENDIX 2: THE HILBERT PROBLEMS 1900-1999; APPENDIX 3. LOGICAL MATTERS; BIBLIOGRAPHY; INDEX