The Mathematician's Mind: The Psychology of Invention in the Mathematical Field

Author:   Jacques Hadamard ,  P. N. Johnson-Laird
Publisher:   Princeton University Press
Edition:   Revised edition
Volume:   18
ISBN:  

9780691029313


Pages:   168
Publication Date:   20 October 1996
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Mathematician's Mind: The Psychology of Invention in the Mathematical Field


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Overview

"Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Levi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness.His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, ""meaningless"" words, logic, and intuition.Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought."

Full Product Details

Author:   Jacques Hadamard ,  P. N. Johnson-Laird
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Edition:   Revised edition
Volume:   18
Dimensions:   Width: 12.70cm , Height: 1.30cm , Length: 20.30cm
Weight:   0.170kg
ISBN:  

9780691029313


ISBN 10:   0691029318
Pages:   168
Publication Date:   20 October 1996
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Preface to the Paperback EditionForewordIntroductionIGeneral Views and Inquiries1IIDiscussions on Unconsciousness21IIIThe Unconscious and Discovery29IVThe Preparation Stage. Logic and Chance43VThe Later Conscious Work56VIDiscovery as a Synthesis. The Help of Signs64VIIDifferent Kinds of Mathematical Minds100VIIIParadoxical Cases of Intuition116IXThe General Direction of Research124Final Remarks133App. I137App. II142

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Author Information

Jacques Hadamard (1865-1963), an internationally known mathematician, was born in Versailles and lectured at universities throughout the world, including Hravard, Princeton, Stanford, and Columbia Universities, and at the Institute for Advanced Study.

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