Book Search:  

 

 
Google full text of our books:

bookjacket

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

Book Description | Reviews
Chapter 1 [HTML] or [PDF format]

TABLE OF CONTENTS:

Preface vii
Chapter 1: Scientific Thinking 1
Chapter 2: What Is Mathematics? 5
Chapter 3: The Erlangen Program 11
Chapter 4: Mathematics and Ideologies 17
Chapter 5: The Unity of Mathematics 23
Chapter 6: A Glimpse into Algebraic Geometry and Arithmetic 29
Chapter 7: A Trip to Nancy with Alexander Grothendieck 34
Chapter 8: Structures 41
Chapter 9: The Computer and the Brain 46
Chapter 10: Mathematical Texts 52
Chapter 11: Honors 57
Chapter 12: Infinity: The Smoke Screen of the Gods 63
Chapter 13: Foundations 68
Chapter 14: Structures and Concept Creation 73
Chapter 15: Turing’s Apple 78
Chapter 16: Mathematical Invention: Psychology and Aesthetics 85
Chapter 17: The Circle Theorem and an Infinite-Dimensional Labyrinth 91
Chapter 18: Mistake! 97
Chapter 19: The Smile of Mona Lisa 103
Chapter 20: Tinkering and the Construction of Mathematical Theories 108
Chapter 21: The Strategy of Mathematical Invention 113
Chapter 22: Mathematical Physics and Emergent Behavior 119
Chapter 23: The Beauty of Mathematics 127
Notes 131
Index 157

Return to Book Description

File created: 4/17/2014

Questions and comments to: webmaster@press.princeton.edu
Princeton University Press

New Book E-mails
New In Print
PUP Blog
Videos/Audios
Sample Chapters
Subjects
Series
Catalogs
Textbooks
For Reviewers
Class Use
Rights
Permissions
Ordering
Recent Awards
Princeton Shorts
Freshman Reading
Princeton APPS
PUP Europe
About Us
Contact Us
Links
F.A.Q.
MATH SITE
PUP Home


Bookmark and Share