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The mathematician's brain

Author: David Ruelle
Publisher: Princeton : Princeton University Press, [2007]
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 book, David Ruelle, the mathematical physicist who helped create chaos theory, gives us an insider's account of the celebrated mathematicians he has known-their quirks, oddities, personal tragedies, bad behavior,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ruelle, David.
Mathematician's brain.
Princeton : Princeton University Press, ©2007
(DLC) 2006049700
(OCoLC)76961148
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Ruelle
ISBN: 9780691190303 0691190305
OCLC Number: 1044748007
Description: 1 online resource : illustrations.
Contents: Scientific Thinking --
What Is Mathematics? --
The Erlangen Program --
Mathematics and Ideologies --
The Unity of Mathematics --
A Glimpse into Algebraic Geometry and Arithmetic --
A Trip to Nancy with Alexander Grothendieck --
Structures --
The Computer and the Brain --
Mathematical Texts --
Honors --
Infinity: The Smoke Screen of the Gods --
Foundations --
Structures and Concept Creation --
Turing's Apple --
Mathematical Invention: Psychology and Aesthetics --
The Circle Theorem and an Infinite-Dimensional Labyrinth --
Mistake! --
The Smile of Mona Lisa --
Tinkering and the Construction of Mathematical Theories --
The Strategy of Mathematical Invention --
Mathematical Physics and Emergent Behavior --
The Beauty of Mathematics.
Responsibility: David Ruelle.
More information:

Abstract:

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 book, David Ruelle, the mathematical physicist who helped create chaos theory, gives us an 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. Ruelle holds nothing back in his revealing and deeply personal reflections on mathematicians such as Alan Turing, Alexander Grothendieck, Rene Thom, Bernhard Riemann, and Felix Klein. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle 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.

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