Mathematics and the Unexpected
Autor Ivar Ekelanden Limba Engleză Paperback – 31 dec 1989
"Not the least unexpected thing about Mathematics and the Unexpected is that a real mathematician should write not just a literate work, but a literary one."—Ian Stewart, New Scientist
"In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice
"In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice
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Specificații
ISBN-13: 9780226199900
ISBN-10: 0226199908
Pagini: 154
Ilustrații: 2 halftones
Dimensiuni: 133 x 203 x 13 mm
Greutate: 0.14 kg
Ediția:1
Editura: University of Chicago Press
Colecția University of Chicago Press
ISBN-10: 0226199908
Pagini: 154
Ilustrații: 2 halftones
Dimensiuni: 133 x 203 x 13 mm
Greutate: 0.14 kg
Ediția:1
Editura: University of Chicago Press
Colecția University of Chicago Press
Notă biografică
Ivar Ekeland is president of Université Paris—Dauphine and founder of the Centre de Récherche de mathématiques de la décision. He is the author of several books on mathematics.
Cuprins
Foreword by Felix E. Browder
Introduction
1. The Music of the Spheres
The Marvel of Kepler's Laws
Celestial Mechanics
Classical Determinism
2. The Shattered Crystal
The Impossible Calculations
Poincaré's Contribution
Deterministic but Random
Unstable but Stable
3. The Comeback of Geometry
A Word of Warning
Dissipative Systems
Catastrophes
Theory
A Critique
4. Back to the Beginning
Appendix 1. Prelude and Fugue on a Theme by Poincaré
Appendix 2. The Feigenbaum Bifurcation
Bibliography
Index
Introduction
1. The Music of the Spheres
The Marvel of Kepler's Laws
Celestial Mechanics
Classical Determinism
2. The Shattered Crystal
The Impossible Calculations
Poincaré's Contribution
Deterministic but Random
Unstable but Stable
3. The Comeback of Geometry
A Word of Warning
Dissipative Systems
Catastrophes
Theory
A Critique
4. Back to the Beginning
Appendix 1. Prelude and Fugue on a Theme by Poincaré
Appendix 2. The Feigenbaum Bifurcation
Bibliography
Index