Table of Contents: 
Introduction. Views of Poincaré  Poincaré's way of thinking 

1. The Essayist. Poincaré and the three body problem  Poincaré's popular essays  Paris celebrates the new centry  Science, hypothesis, value  Poincaré popular writings on physics  The future of mathematics  Poincaré among the logicians  Poincaré's defenses of science 

2. Poincaré's Career. Childhood, schooling  The École polytechnique  The École des mines  academic life  The Dreyfus affair  National spokesman  Contemporary technology  International representatice  The Nobel Prize  1911, 1912  Remembering Poincaré 

3. The Prize Competition of 1880. The competition  Fuchs, Schwarz, Klein, and automorphic functions  uniformization, 1882 to 1907 

4. The Three Body Problem. Flows on surfaces  Stability questions  Poincaré's essay and its supplements  Les Méthodes Nouvelles de la Méchanique Céleste  Poincaré returns 

5. Cosmogony. Rotating fluid masses 

6. Physics. Theories of electricity before Poincaré : Maxwell  Poincaré's Électricité et Optique, 1890  Larmor and Lorentz : the electron and the ether  Poincaré on Hertz and Lorentz  St. Louis, 1904  The dynamics of the electron  Poincaré and Einstein  Early quantum theory 

7. Theory of Functions and Mathematical Physics. Function theory of a single variable  Function theory of several variables  Poincaré's approach to potential theory  The Six Lectures in Göttingen, 1909 

8. Topology. Topology before Poincaré  Poincare's work, 1895 to 1905 

9. Interventions in Pure Mathematics. Number theory  Lie theory  Algebraic geometry 

10. Poincaré as a Professional Physicist. Thermodynamics  Probability 

11. Poincaré and the Philosophy of Science. Poincaré : idealist, skeptic, or structural realist? 

12. Appendixes. Elliptic and Abelian functions  Maxwell's equations  Glossary 
Note(s): 
Includes bibliographical references (p. [553]584) and indexes 
Summary: 
"Henri Poincaré (18541912) was not just one of the most inventive, versatile, and productive mathematicians of all timehe was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first indepth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wideranging and permanent. His novel interpretation of nonEuclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world"Provided by publisher 
Physical Description: 
xiii, 592 pages : illustrations ; 24 cm 
Subject(s): 
Poincaré, Henri, 18541912


Scientists  France  Biography

ISBN: 
9780691152714 (hardback) 

0691152713 (hardback) 
