Download E-books The KAM Story: A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov-Arnold-Moser Theory PDF

By H.S. Dumas

This can be a semi-popular arithmetic booklet aimed toward a huge readership of mathematically literate scientists, in particular mathematicians and physicists who're now not specialists in classical mechanics or KAM concept, and scientific-minded readers. elements of the publication must also entice much less mathematically expert readers with an curiosity within the background or philosophy of technological know-how.

The scope of the booklet is vast: it not just describes KAM concept in a few aspect, but additionally provides its old context (thus exhibiting why it used to be a "breakthrough"). additionally mentioned are purposes of KAM thought (especially to celestial mechanics and statistical mechanics) and the elements of arithmetic and physics during which KAM concept is living (dynamical structures, classical mechanics, and Hamiltonian perturbation theory).

even supposing a few assets on KAM thought are actually to be had for specialists, this ebook makes an attempt to fill a long-standing hole at a extra descriptive point. It stands proud very basically from present courses on KAM thought since it leads the reader via an obtainable account of the idea and areas it in its right context in arithmetic, physics, and the heritage of science.

Readership: Undergraduates, graduates, and researchers commonly drawn to Hamiltonian perturbation conception, statistical mechanics, ergodic thought, Nekhoroshev idea, Arnold diffusion, nonlinear dynamics, dynamical platforms, chaos thought, classical mechanics, and the heritage of those subjects.

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