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The Mathematician's Brain : A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them /

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 phys...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ruelle, David (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2018]
Temas:
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • 1. Scientific Thinking
  • 2. What Is Mathematics?
  • 3. The Erlangen Program
  • 4. Mathematics and Ideologies
  • 5. The Unity of Mathematics
  • 6. A Glimpse into Algebraic Geometry and Arithmetic
  • 7. A Trip to Nancy with Alexander Grothendieck
  • 8. Structures
  • 9. The Computer and the Brain
  • 10. Mathematical Texts
  • 11.Honors
  • 12. Infinity: The Smoke Screen of the Gods
  • 13.Foundations
  • 14. Structures and Concept Creation
  • 15. Turing's Apple
  • 16. Mathematical Invention: Psychology and Aesthetics
  • 17. The Circle Theorem and an Infinite- Dimensional Labyrinth
  • 18.Mistake!
  • 19. The Smile of Mona Lisa
  • 20. Tinkering and the Construction of Mathematical Theories
  • 21. The Strategy of Mathematical Invention
  • 22. Mathematical Physics and Emergent Behavior
  • 23. The Beauty of Mathematics
  • Notes
  • Index