Poincare's Legacies, Part II American Mathematical Society

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Focuses on geometry, topology, and partial differential equations. This book discusses a variety of topics, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black-Scholes equation. It is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.

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Henri Poincare Princeton University Press

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Henri Poincar (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 Poincar explores all the fields that Poincar touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincar'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 Poincar conjecture. And Poincar'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. Poincar 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 Poincar demonstrates how one man's work revolutionized math, science, and the greater world.

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Abstract Harmonic Analysis On Poincare Space-time

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Theory And Applications Of The Poincare Group

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Henri Poincare, 1912 - 2012

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Poincare' Series Associated To Milnor Algebras

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Automorphic Forms And Poincare Series For Infinitely Generated Fuchsian Groups (Classic Reprint)

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Letzte Gedanken Von Henri Poincare

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Henri Poincare

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The Poincare Conjecture

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The Three-Body Problem and the Equations of Dynamics: Poincare's Foundational Work on Dynamical Systems Theory

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Henri Poincare: Le Physicien

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Mathematical Heritage Of Henri Poincare

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Progress and Challenges in Dynamical Systems: Proceedings of the International Conference Dynamical Systems: 100 Years After Poincare, September 2012,

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Poincare, Philosopher of Science: Problems and Perspectives

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