数学者の心 The Mind of the Mathematician

Fitzgerald, Michael/ James, Ioan

Johns Hopkins University Press（2007/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 196 p.
• 言語 ENG
• 商品コード 9780801885877
• DDC分類 510.1

基本説明

Internationally famous mathematician Ioan James and accomplished psychiatrist Michael Fitzgerald look at the complex world of mathematics and the mind. They discuss mathematics and the arts, savants, gender and mathematical ability, and the impact of autism, personality disorders, and mood disorders.

Full Description

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.

Contents

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, Poincaré, and Hilbert
7. Hadamard, Hardy, Noether, and Ramanujan
8. Fisher, Wiener, Dirac, and Gödel
References
Index