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Item Details
Title: THE BEST OF ALL POSSIBLE WORLDS
MATHEMATICS AND DESTINY
By: Ivar Ekeland
Format: Hardback

List price: £23.00
Our price: £20.70
Discount:
10% off
You save: £2.30
ISBN 10: 0226199940
ISBN 13: 9780226199948
Availability: Usually dispatched within 1-3 weeks.
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Stock: Currently 0 available
Publisher: THE UNIVERSITY OF CHICAGO PRESS
Pub. date: 1 October, 2006
Pages: 208
Description: 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.
Synopsis: 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? Is it the world that operates the most efficiently? Or the one in which most people are comfortable and content? Questions such as these have 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 asserted that everything in nature occurs in the way that requires the least possible action. This idea, 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. Although the least action principle was later elaborated on and overshadowed by the theories of Leonhard Euler and Gottfried Leibniz, the concept of optimization that emerged from it is an important one that touches virtually every scientific discipline today. 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 of optimization 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."
Illustrations: 10 line drawings
Publication: US
Imprint: University of Chicago Press
Returns: Returnable
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ADVANCES IN HAMILTONIAN SYSTEMS (PB)
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CONVEXITY METHODS IN HAMILTONIAN MECHANICS (HB)
CONVEXITY METHODS IN HAMILTONIAN MECHANICS (PB)
EXTERIOR DIFFERENTIAL CALCULUS AND APPLICATIONS TO ECONOMIC THEORY (PB)
INFINITE-DIMENSIONAL OPTIMIZATION AND CONVEXITY (HB)
MATHEMATICS AND THE UNEXPECTED (PB)
PARIS-PRINCETON LECTURES ON MATHEMATICAL FINANCE (PB)
PARIS-PRINCETON LECTURES ON MATHEMATICAL FINANCE 2002 (PB)
PARIS-PRINCETON LECTURES ON MATHEMATICAL FINANCE 2003 (PB)
PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS AND RELATED TOPICS (HB)
PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS AND RELATED TOPICS (PB)
THE BEST OF ALL POSSIBLE WORLDS (PB)
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