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Henri Poincaré:
A Scientific Biography
Jeremy Gray

Book Description | Reviews
Introduction [in PDF format]

TABLE OF CONTENTS:

List of Figures ix

Preface xi

Introduction 1

  • Views of Poincaré 3
  • Poincaré's Way of Thinking 6

1 The Essayist 27

  • Poincaré and the Three Body Problem 27
  • Poincaré's Popular Essays 34
  • Paris Celebrates the New Century 59
  • Science, Hypothesis, Value 67
  • Poincaré and Projective Geometry 76
  • Poincaré's Popular Writings on Physics 100
  • The Future of Mathematics 112
  • Poincaré among the Logicians 123
  • Poincaré's Defenses of Science 144

2 Poincaré's Career 153

  • Childhood, Schooling 153
  • The École Polytechnique 157
  • The École des Mines 158
  • Academic Life 160
  • The Dreyfus Affair 165
  • National Spokesman 169
  • Contemporary Technology 177
  • International Representative 187
  • The Nobel Prize 192
  • "1911", "1912" 200
  • Remembering Poincaré 202

3 The Prize Competition of 1880 207

  • The Competition 207
  • Fuchs, Schwarz, Klein, and Automorphic Functions 224
  • Uniformization, 1882 to 1907 247

4 The Three Body Problem 253

  • Flows on Surfaces 253
  • Stability Questions 265
  • Poincaré's Essay and Its Supplements 266
  • Les Méthodes Nouvelles de la Mécanique Céleste 281
  • Poincaré Returns 291

5 Cosmogony 300

  • Rotating Fluid Masses 300

6 Physics 318

  • Theories of Electricity before Poincaré: Maxwell 318
  • Poincaré's Électricité et Optique, 1890 329
  • Larmor and Lorentz: The Electron and the Ether 338
  • Poincaré on Hertz and Lorentz 346
  • St. Louis, 1904 356
  • The Dynamics of the Electron 361
  • Poincaré and Einstein 367
  • Early Quantum Theory 378

7 Theory of Functions and Mathematical Physics 382

  • Function Theory of a Single Variable 382
  • Function Theory of Several Variables 391
  • Poincaré's Approach to Potential Theory 402
  • The Six Lectures in Göttingen, 1909 416

8 Topology 427

  • Topology before Poincaré 427
  • Poincare's Work, 1895 to 1905 432

9 Interventions in Pure Mathematics 467

  • Number Theory 467
  • Lie Theory 489
  • Algebraic Geometry 498

10 Poincaré as a Professional Physicist 509

  • Thermodynamics 513
  • Probability 518

11 Poincaré and the Philosophy of Science 525

  • Poincaré: Idealist, Skeptic, or Structural Realist? 525

12 Appendixes 543

  • Elliptic and Abelian Functions 543
  • Maxwell's Equations 545
  • Glossary 548

References 553

  • Articles and Books by Poincaré 554
  • Other Authors 564

Name Index 585

Subject Index 589

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File created: 4/17/2014

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