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Poincaré, Henri (1854-1912) --- Hypothèse --- Poincaré, Henri (1854-1912) --- Hypothèse
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Conceived in 1904, the Poincare conjecture, a puzzle that speaks to the possible shape of the universe and lies at the heart of modern topology and geometry, has resisted attempts by generations of mathematicians to prove or to disprove it. Despite a million-dollar prize for a solution, Russian mathematician Grigory Perelman, posted his solution on the Internet instead of publishing it in a peer-reviewed journal. This book "tells the story of the fascinating personalities, institutions, and scholarship behind the centuries of mathematics that have led to Perelman's dramatic proof." The author also chronicles dramatic events at the 2006 International congress of mathematicians in Madrid, where Perelman was awarded a Fields Medal for his solution, which he declined
Algebraic topology --- Mathematics --- Mathematicians --- Poincaré, Henri, - 1854-1912 --- Perelman, Grigori, - 1966-
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Chaotic behavior in systems --- Three-body problem --- Mathematical physics --- Poincaré, Henri, --- Poincaré, Henri, 1854-1912 --- Mathematics --- Science --- Poincaré, Henri (1854-1912) --- Mathématiques --- Philosophie des sciences --- History --- Philosophy --- Histoire --- Poincaré, Henri, --- Histoire. --- Poincaré, Henri --- Acqui 2006 --- Poincaré, Henri, - 1854-1912 --- Mathématiques --- Poincaré, Henri
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Mathematics --- Philosophy --- Poincaré, Henri, --- Prédicat (Logique) --- Logique symbolique et mathématique. --- Mathématiques --- Philosophy. --- Philosophie. --- Poincaré, Henri, --- -Math --- Science --- Poincare, Henri --- -Philosophy --- Logic of mathematics --- Mathematics, Logic of --- Mathematics - Philosophy --- Poincaré, Henri, - 1854-1912
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"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"--
Poincaré, Henri --- Scientists --- Poincaré, Henri, --- MATHEMATICS / History & Philosophy. --- BIOGRAPHY & AUTOBIOGRAPHY / Science & Technology. --- MATHEMATICS / General. --- SCIENCE / Physics. --- TECHNOLOGY & ENGINEERING / Engineering (General). --- Poincaré, Henri, --- SCIENTISTS -- 930.85 --- FRANCE -- 930.85 --- POINCARE, HENRI -- 930.85 --- Poincare, Henri --- Biography --- Poincare, Henri, --- Scientists - France - Biography --- Poincaré, Henri, - 1854-1912 --- Biographie
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This book describes the life and work of Henri Poincaré, detailing most of his unique achievements in mathematics and physics. It is divided into two parts—the first on Poincaré’s life, and the second on his contributions to the mathematical sciences. Apart from biographical details, attention is given to Poincaré’s results on automorphic functions; differential equations and dynamical systems; celestial mechanics; mathematical physics, in particular the theory of the electron and relativity; and topology (analysis situs). A chapter on philosophy explains Poincaré’s conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincaré reached his fundamentally new results in many different fields, how he thought about problems, and how one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincaré’s thinking and work. In dynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings, and his fixed-point theory. There is no comparable book on Poincaré presenting such a relatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:"The title of this biography is particularly well chosen : Henri Poincaré was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, completed by particularly well chosen illustrations. Jean Mawhin, Université Catholique de Louvain, Belgium "Ferdinand Verhulst has written a true scientific biography, introducing Poincaré the man, his cultural milieu, and his mathematics. This book shows why, a century after his death, Poincaré's ideas still shape a substantial part of the mathematical sciences." Philip J Holmes, Princeton University, USA .
Mathematicians -- Biography -- France. --- Physicists -- Biography -- France. --- Poincare, Henri, -- 1854-1912. --- Mathematicians --- Physicists --- Physics --- Mathematics --- Physical Sciences & Mathematics --- Physics - General --- Mathematics - General --- Poincaré, Henri, --- Puankare, G., --- Poincaré, Jules Henri, --- Poincaré, H. --- Puankare, Anri, --- Puankare, A. --- פואנקרה, הנרי --- פואנקרה, הנרי, --- Mathematics. --- History. --- Astrophysics. --- Engineering. --- History of Mathematical Sciences. --- Mathematics, general. --- Astrophysics and Astroparticles. --- Engineering, general. --- Construction --- Industrial arts --- Technology --- Math --- Science --- Astronomical physics --- Astronomy --- Cosmic physics --- Annals --- Auxiliary sciences of history
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