The Best of All Possible Worlds

出版者:Univ of Chicago Pr

作者:Ekeland, Ivar

页数:208

出版时间:2006-10

价格:$ 31.64

装帧:HRD

isbn号码:9780226199948

具体描述

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.

读后感

我以为会是讲概率论和最优化的，结果是最优化源流。第一、二、七、八、九、十章都是我非常熟悉的领域和话题，并且在第七章及以后写作过于散乱。严格来说本书值得关注的是第三~六章，详细介绍了最小作用量原理-稳定作用量原理的数学物理演变史，更有趣一些。 贯穿全书的理念之争...

我以为会是讲概率论和最优化的，结果是最优化源流。第一、二、七、八、九、十章都是我非常熟悉的领域和话题，并且在第七章及以后写作过于散乱。严格来说本书值得关注的是第三~六章，详细介绍了最小作用量原理-稳定作用量原理的数学物理演变史，更有趣一些。 贯穿全书的理念之争...

我以为会是讲概率论和最优化的，结果是最优化源流。第一、二、七、八、九、十章都是我非常熟悉的领域和话题，并且在第七章及以后写作过于散乱。严格来说本书值得关注的是第三~六章，详细介绍了最小作用量原理-稳定作用量原理的数学物理演变史，更有趣一些。 贯穿全书的理念之争...

我以为会是讲概率论和最优化的，结果是最优化源流。第一、二、七、八、九、十章都是我非常熟悉的领域和话题，并且在第七章及以后写作过于散乱。严格来说本书值得关注的是第三~六章，详细介绍了最小作用量原理-稳定作用量原理的数学物理演变史，更有趣一些。 贯穿全书的理念之争...

我以为会是讲概率论和最优化的，结果是最优化源流。第一、二、七、八、九、十章都是我非常熟悉的领域和话题，并且在第七章及以后写作过于散乱。严格来说本书值得关注的是第三~六章，详细介绍了最小作用量原理-稳定作用量原理的数学物理演变史，更有趣一些。 贯穿全书的理念之争...