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'The Mathematician's Brain' poses a provocative question about the world's most brilliant yet eccentric mathematical minds: were they brilliant because of their eccentricities or in spite of them? In this thought-provoking and entertaining book, David Ruelle, the well-known mathematical physicist who helped create chaos theory, gives us a rare insider's account of the celebrated mathematicians he has known-their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the sublime, inexpressible beauty of their most breathtaking mathematical discoveries. Consider the case of British mathematician Alan Turing. Credited with cracking the German Enigma code during World War II and conceiving of the modern computer, he was convicted of "gross indecency" for a homosexual affair and died in 1954 after eating a cyanide-laced apple--his death was ruled a suicide, though rumors of assassination still linger. Ruelle holds nothing back in his revealing and deeply personal reflections on Turing and other fellow mathematicians, including Alexander Grothendieck, Rene Thom, Bernhard Riemann, and Felix Klein. But this book is more than a mathematical tell-all. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle meaningfully explores the philosophical issues raised by each, offering insights into the truly unique and creative ways mathematicians think and showing how the mathematical setting is most favorable for asking philosophical questions about meaning, beauty, and the nature of reality. 'The Mathematician's Brain' takes you inside the world--and heads--of mathematicians. It's a journey you won't soon forget.
Mathematicians --- Mathematics --- Psychology. --- Philosophy.
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Ernst Zermelo (1871-1953) is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics. His dissertation, for example, promoted the calculus of variations, and he created the pivotal method in the theory of rating systems. This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The description of his personality owes much to conversations with his late wife Gertrud. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis. All facts presented are documented by appropriate sources. The biography contains more than 40 photos and facsimiles, most of them provided by Gertrud Zermelo and published here for the first time.
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This fascinating book assembles human stories about physicists and mathematicians. Remarkably, these stories cluster around some general themes having to do with the interaction between scientists, and with the impact of historic events - such as the advent of fascism and communism in the twentieth century - on scientists' behavior. Briefly, but lucidly, some of the beautiful science that brought these scientists together in the first place is explained.Author's webpage: http://freund9.googlepages.com/peterfreundwritings.
Mathematicians --- Physicists --- Physical scientists --- Scientists
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Mathematicians --- Mathematics --- Euler, Leonhard, - 1707-1783
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Mathematicians --- Logic, symbolic and mathematical. --- Gentzen, Gerhard.
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Mathematics --- Women mathematicians --- History --- Agnesi, Maria Gaetana,
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The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European math
Mathematics --- History --- Euler, Leonhard, --- Math --- Science --- Mathematicians --- Mathematicians - Switzerland - Biography --- Mathematics - Switzerland - History - 18th century --- Euler, Leonhard, - 1707-1783
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