Verkauf durch Sack Fachmedien

Ruelle

The Mathematician`s Brain - A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them

Medium: Buch
ISBN: 978-0-691-12982-2
Verlag: Princeton University Press
Erscheinungstermin: 24.08.2007
Lieferfrist: bis zu 10 Tage
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.

Produkteigenschaften


  • Artikelnummer: 9780691129822
  • Medium: Buch
  • ISBN: 978-0-691-12982-2
  • Verlag: Princeton University Press
  • Erscheinungstermin: 24.08.2007
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2007
  • Produktform: Gebunden
  • Gewicht: 417 g
  • Seiten: 172
  • Format (B x H x T): 161 x 240 x 21 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Autoren

Ruelle, David

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