Henri Poincaré: A Scientific Biography

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Princeton University Press, 2013 - 592 pàgines

Henri Poincaré (1854-1912) was not just one of the most inventive, versatile, and productive mathematicians of all time--he 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 in-depth 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 wide-ranging and permanent. His novel interpretation of non-Euclidean 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.

 

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Continguts

Introduction
1
The Essayist
27
Poincarés Career
153
3
207
The Three Body Problem
253
Stability Questions
265
Les Méthodes Nouvelles de la Mécanique Céleste
281
Poincaré Returns
291
Early Quantum Theory
378
Function Theory of Several Variables
391
Poincarés Approach to Potential Theory
402
The Six Lectures in Göttingen 1909
416
Topology
427
Number Theory
467
Poincaré as a Professional Physicist
509
Poincaré and the Philosophy of Science
525

Cosmogony
300
Physics
318
Poincarés Électricité et Optique 1890
338
Poincaré on Hertz and Lorentz
346
St Louis 1904
356
Poincaré and Einstein
367
Appendixes
543
References
553
Other Authors
564
Name Index
585
Copyright

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Sobre l'autor (2013)

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).

Informació bibliogràfica