The KAM story : a friendly introduction to the content, history, and significance of classical Kolmogorov-Arnold-Moser theory

By: Dumas H. ScottMaterial type: TextTextPublication details: New Jersey: World Scientific Publishing Co. Pte. Ltd., [c2014]Description: 361 pISBN: 9789814556583Subject(s): MathematicsLOC classification: QC172.5
Contents:
1. Introduction 2. Minimum Mathematical Background 3. Leading Up to KAM: A Sketch of the History 4. KAM Theory 5. KAM in Context: Questions, Consequences, Significance 6. Other Results in Hamiltonian Perturbation Theory (HPT) 7. Physical Applications
Summary: 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). --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Physics Rack No 9 QC172.5 (Browse shelf (Opens below)) Available Invoice no. IN 703 ; Date 23-08-2019 02183
Total holds: 0

1. Introduction
2. Minimum Mathematical Background
3. Leading Up to KAM: A Sketch of the History
4. KAM Theory
5. KAM in Context: Questions, Consequences, Significance
6. Other Results in Hamiltonian Perturbation Theory (HPT)
7. Physical Applications

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). --- summary provided by publisher

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