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The Best of All Possible Worlds: Mathematics and Destiny

by Ivar Ekeland

The Best of All Possible Worlds: Mathematics and Destiny Cover

ISBN13: 9780226199955
ISBN10: 0226199959
Condition: Standard
All Product Details

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Synopses & Reviews

Publisher Comments:


Optimists believe this is the best of all possible worlds. And pessimists fear that might really be the case. But what is the best of all possible worlds? How do we define it? This question has preoccupied philosophers and theologians for ages, but there was a time, during the seventeenth and eighteenth centuries, when scientists and mathematicians felt they could provide the answer.

This book is their story. Ivar Ekeland here takes the reader on a journey through scientific attempts to envision the best of all possible worlds. He begins with the French physicist Maupertuis, whose least-action principle, Ekeland shows, was a pivotal breakthrough in mathematics, because it was the first expression of the concept of optimization, or the creation of systems that are the most efficient or functional.

Tracing the profound impact of optimization and the unexpected ways in which it has influenced the study of mathematics, biology, economics, and even politics, Ekeland reveals throughout how the idea has driven some of our greatest intellectual breakthroughs. The result is a dazzling display of erudition, one that will be essential reading for popular-science buffs and historians of science alike.

 

"The deity of Liebniz and Maupertuis can only make action stationary; to us remains the challenge to make the world as good as possible. . . .We can neither evade such problems nor address them without science. Ekeland's admirable account gives us the tools to consider these important questions in greater depth."—Peter Pesic, Times Literary Supplement

  

“[Ekeland] gives us a vivid picture of human history and destiny. . . . Mathematics appears as a unifying principle for history. Ekeland moves easily from mathematics to physics, biology, ethics, and philosophy.”—Freeman Dyson, New York Review of Books

Synopsis:

Optimists believe this is the best of all possible worlds, and pessimists fear that might really be the case. There was a time, during the 17th and 18th centuries, when scientists and mathematicians felt they could provide the answer. This book is their story.

About the Author

Ivar Ekeland is professor of mathematics and economics at the University of British Columbia and director of the Pacific Institute for Mathematical Sciences. He is the author of several books, including Mathematics and the Unexpected and The Broken Dice, both published by the University of Chicago Press.

Table of Contents

Introduction

1. Keeping the Beat

2. The Birth of Modern Science

3. The Least Action Principle

4. From Computations to Geometry

5. Poincaré and Beyond

6. Pandora's Box

7. May the Best One Win

8. The End of Nature

9. The Common Good

10. A Personal Conclusion

Appendix 1. Finding the Second Diameter of a Convex Table

Appendix 2. The Stationary Action Principle for General Systems

Bibliographical Notes

Index

Product Details

ISBN:
9780226199955
Subtitle:
Mathematics and Destiny
Author:
Ekeland, Ivar
Publisher:
University of Chicago Press
Subject:
Physics
Subject:
History
Subject:
History -- Philosophy.
Copyright:
Edition Description:
Paper Text
Publication Date:
October 2007
Binding:
Paperback
Grade Level:
General/trade
Language:
English
Illustrations:
Y
Pages:
207
Dimensions:
9.00x6.30x.61 in. .79 lbs.

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