Henri Poincaré
A Scientific Biography
1st Edition
Published on 25. November 2012
608 pages
978-1-4008-4479-1 (ISBN)
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Edition
Course Book
Language
English
Place of publication
Princeton
United States
Publishing group
De Gruyter
Target group
Professional and scholarly
Edition type
Digital original
Illustrations
39 b/w illus.
39 b/w illus.
File size
2,25 MB
ISBN-13
978-1-4008-4479-1 (9781400844791)
Schweitzer Classification
Other editions
Additional editions
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01/2023
Princeton University Press
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11/2012
Princeton University Press
€52.00
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Person
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).
Content
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
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
