Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory
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A01=H Scott Dumas
Author_H Scott Dumas
Category=PBKJ
Category=PBWR
Category=PHU
Chaos Theory
Classical Mechanics
Dynamical Systems
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eq_non-fiction
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Hamiltonian Perturbation Theory
KAM Theory
Kolmogorov-Arnold-Moser Theory
KolmogorovAcAEURA"ArnoldAcAEURA"Moser Theory
Kolmogorov–Arnold–Moser Theory
Product details
- ISBN 9789814556583
- Publication Date: 17 Apr 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
