The mind of the mathematician

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書誌事項

The mind of the mathematician

Michael Fitzgerald and Ioan James

Johns Hopkins University Press, c2007

大学図書館所蔵 件 / 全6件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

What makes mathematicians tick? How do their minds process formulas and concepts that, for most of the rest of the world's population, remain mysterious and beyond comprehension? Is there a connection between mathematical creativity and mental illness? In The Mind of the Mathematician, internationally famous mathematician Ioan James and accomplished psychiatrist Michael Fitzgerald look at the complex world of mathematics and the mind. Together they explore the behavior and personality traits that tend to fit the profile of a mathematician. They discuss mathematics and the arts, savants, gender and mathematical ability, and the impact of autism, personality disorders, and mood disorders. These topics, together with a succinct analysis of some of the great mathematical personalities of the past three centuries, combine to form an eclectic and fascinating blend of story and scientific inquiry.

目次

Preface Introduction Part I: Tour of the Literature 1. Mathematicians and Their World 2. Mathematical Ability 3. The Dynamics of Mathematical Creation Part II: Twenty Mathematical Personalities 4. Lagrange, Gauss, Cauchy, and Dirichlet 5. Hamilton, Galois, Byron, and Riemann 6. Cantor, Kovalevskaya, Poincare, and Hilbert 7. Hadamard, Hardy, Noether, and Ramanujan 8. Fisher, Wiener, Dirac, and Goedel References Index

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