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The KAM Story : A Friendly Introduction to the History, Content, and Significance of Classical Kolmogorov - Arnold - Moser Theory by H. Scott Dumas
The KAM Story : A Friendly Introduction to the History, Content, and Significance of Classical Kolmogorov - Arnold - Moser Theory
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Author: H. Scott Dumas
Page Count: 385 pages
Published Date: 17 Apr 2014
Publisher: World Scientific Publishing Co Pte Ltd
Publication Country: Singapore, Singapore
Language: English
ISBN: 9789814556583
File size: 31 Mb
File Name: The.KAM.Story.A.Friendly.Introduction.to.the.History,.Content,.and.Significance.of.Classical.Kolmogorov.-.Arnold.-.Moser.Theory.pdf
Download Link: The KAM Story A Friendly Introduction to the History, Content, and Significance of Classical Kolmogorov - Arnold - Moser Theory
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This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science. The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a "breakthrough"). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory). Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science.

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