The Mathematician's Brain
eBook - PDF

The Mathematician's Brain

A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The Mathematician's Brain

A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them

About this book

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, René 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.

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Yes, you can access The Mathematician's Brain by David Ruelle in PDF and/or ePUB format, as well as other popular books in Mathematics & History & Philosophy of Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Preface
  6. 1. Scientific Thinking
  7. 2. What Is Mathematics?
  8. 3. The Erlangen Program
  9. 4. Mathematics and Ideologies
  10. 5. The Unity of Mathematics
  11. 6. A Glimpse into Algebraic Geometry and Arithmetic
  12. 7. A Trip to Nancy with Alexander Grothendieck
  13. 8. Structures
  14. 9. The Computer and the Brain
  15. 10. Mathematical Texts
  16. 11. Honors
  17. 12. Infinity: The Smoke Screen of the Gods
  18. 13. Foundations
  19. 14. Structures and Concept Creation
  20. 15. Turing’s Apple
  21. 16. Mathematical Invention: Psychology and Aesthetics
  22. 17. The Circle Theorem and an Infinite-Dimensional Labyrinth
  23. 18. Mistake!
  24. 19. The Smile of Mona Lisa
  25. 20. Tinkering and the Construction of Mathematical Theories
  26. 21. The Strategy of Mathematical Invention
  27. 22. Mathematical Physics and Emergent Behavior
  28. 23. The Beauty of Mathematics
  29. Notes
  30. Index