Honors Class : Hilbert's Problems and Their Solvers

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Honors Class : Hilbert's Problems and Their Solvers

  • ウェブストア価格 ¥7,207（本体¥6,552）
  • A K Peters Ltd（2003/12発売）
  • 外貨定価 US$ 42.95
  • ウェブストア限定 全点ポイント5倍キャンペーン（6/24～6/28）
  • ポイント 325pt
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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 436 p.
  • 言語 ENG
  • 商品コード 9781568812168
  • DDC分類 510.904

Full Description


This eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world. In a monumental address, given to the International Congress of Mathematicians in Paris in 1900, David Hilbert, perhaps the most respected mathematician of his time, developed a blueprint for mathematical research in the new century. Jokingly called a natural introduction to thesis writing with examples, this collection of problems has indeed become a guiding inspiration to many mathematicians, and those who succeeded in solving or advancing their solutions form an Honors Class among research mathematicians of this century. In a remarkable labor of love and with the support of many of the major players in the field, Ben Yandell has written a fascinating account of the achievements of this Honors Class, covering mathematical substance and biographical aspects.

Table of Contents

Acknowledgments                                    ix
    Introduction: The Origin of the Coordinates    1  (22)
      Introduction                                 3  (2)
      Advice: How to Read This Book                5  (2)
      The Origin of the Coordinates                7  (16)
    The Foundation Problems 1,2,10                 23 (92)
      Set Theory, Anyone?                          25 (12)
      I Am Lying (Mathematics Is Consistent)       37 (22)
      The Perfect Spy: How Many Real Numbers       59 (26)
      Are There?
      Can't We Do This with a Computer?            85 (30)
    The Foundations of Specific Areas 3,4,5,6      115(48)
      In the Original                              117(20)
      Distance                                     137(6)
      Something for Nothing                        143(16)
      On Again, Off Again: Physics and Math        159(4)
    Number Theory 7,8,9,11,12                      163(96)
      First, State the Tune                        165(6)
      Transcending Local Conditions                171(32)
      The Inordinate Allure of the Prime Numbers   203(10)
      Castles of Air                               213(46)
    Algebra and Geometry: A Miscellany             259(34)
    14,15,16,17,18
      What Is Algebra?                             261(8)
      Schubert's Variety Show                      269(6)
      Graph That Curve                             275(4)
      How Many Kinds of Crystals Are There, and    279(14)
      Does the Grocer Know How to Stack Oranges?
    The Analysis Problems 13,19,20,21,22,23        293(90)
      Analysis Takes at Least Seven Years          295(2)
      How Famous Can a Function Theorist Be?       297(34)
      Schools Amid Turbulence                      331(34)
      Past Chernaya Rechka, to 61 Savushkina       365(8)
      Street
      Work on It                                   373(10)
    We Come to Our Census                          383(4)
      Census                                       385(2)
Appendix                                           387(2)
Mathematical Problems                              389(36)
Notes                                              425(28)
Selected Bibliography                              453(20)
Index                                              473