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Книга Celestial Encounters Florin Diacu

Celestial Encounters

The Origins of Chaos and Stability

Автор: Florin Diacu, Philip Holmes
Език: Английски език
Корици: С меки корици
Издател: Princeton University Press
Наличност: Външен склад
Изпращаме след 9-15 дни
38.37 € 75.05 лв
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, th...

Информация за книгата

Автор
Florin Diacu, Philip Holmes
Език
Английски език
Корици
Книга - С меки корици
Издадена
1999
страници
256
EAN
9780691005454
ISBN
0691005451
Enbook ID
04639189
Издател
Princeton University Press
Теглоt
384
Размери
158 x 236 x 14

Пълно описание

Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincar submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincar found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincar's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincar. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.

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