Gray Henri Poincaré

A Scientific Biography
Course Book
ISBN: 978-1-4008-4479-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 608 Seiten

No detailed description available for "Henri Poincaré".

Autoren/Hrsg.

Gray, Jeremy

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

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

Über Autor(innen)

Jeremy Gray is professor of the history of mathematics at the Open University, and an honorary professor at the University of Warwick. His most recent book is Plato's Ghost: The Modernist Transformation of Mathematics (Princeton).