How Mathematicians Think : Using Ambiguity, Contradiction, and Paradox to Create Mathematics 著者名 Byers, William 出版社 : Princeton Univ Pr 出版年月 : 2010/04 Binding : Paperback ISBN : 9780691145990 BookWeb価格 : A$ 37.95 会員価格 : A$ 34.16 在庫情報 : 発送センターに在庫があります。 通常、3日以内に発送します。 言語 : English

 
Acknowledgments                                    vii
INTRODUCTION Turning on the Light                  1
SECTION I THE LIGHT OF AMBIGUITY                   21
  CHAPTER 1 Ambiguity in Mathematics               25
  CHAPTER 2 The Contradictory in Mathematics       80
  CHAPTER 3 Paradoxes and Mathematics: Infinity    110
  and the Real Numbers
  CHAPTER 4 More Paradoxes of Infinity:            146
  Geometry, Cardinality, and Beyond
SECTION II THE LIGHT AS IDEA                       189
  CHAPTER 5 The Idea as an Organizing Principle    193
  CHAPTER 6 Ideas, Logic, and Paradox              253
  CHAPTER 7 Great Ideas                            284
SECTION III THE LIGHT AND THE EYE OF THE           323
BEHOLDER
  CHAPTER 8 The Truth of Mathematics               327
  CHAPTER 9 Conclusion: Is Mathematics             368
  Algorithmic or Creative?
Notes                                              389
Bibliography                                       399
Index                                              407