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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton, NJ :
Princeton University Press,
[2018]
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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