Mathematics and the Unexpected

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byIvar Ekeland, Felix E. Browder

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"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

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From Our Editors

In this brief, elegant treatise, accessible to anyone who likes to think, Ivar Ekeland explains some philosophical implications of recent mathematics.

From the Publisher

"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. H...

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In this brief, elegant treatise, accessible to anyone who likes to think, Ivar Ekeland explains some philosophical implications of recent mathematics.

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.
Format:PaperbackDimensions:154 pages, 8.08 × 5.29 × 0.5 inPublisher:University Of Chicago Press

The following ISBNs are associated with this title:

ISBN - 10:0226199908

ISBN - 13:9780226199900

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Table of Contents

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

From Our Editors

In this brief, elegant treatise, accessible to anyone who likes to think, Ivar Ekeland explains some philosophical implications of recent mathematics.