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Henri PoincarxE - 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 PoincarxE explores all the fields that PoincarxE touched the debates sparked by his original investigations and how his discoveries still contribute to society today Math historian Jeremy Gray shows that PoincarxEs 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 PoincarxE conjecture And PoincarxEs 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 Einsteins and he was the first to indicate that space and time might be fundamentally atomic PoincarxE 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 PoincarxE demonstrates how one mans work revolutionized math science and the greater world.