New PDF release: The KAM Story:A Friendly Introduction to the Content,

By H Scott Dumas

ISBN-10: 9814556580

ISBN-13: 9789814556583

This is a semi-popular arithmetic publication aimed toward a extensive readership of mathematically literate scientists, specifically mathematicians and physicists who're no longer specialists in classical mechanics or KAM conception, and scientific-minded readers. components of the publication must also attract much less mathematically proficient readers with an curiosity within the heritage or philosophy of science.

The scope of the publication is extensive: it not just describes KAM idea in a few aspect, but in addition offers its historic context (thus displaying why it used to be a “breakthrough”). additionally mentioned are functions of KAM idea (especially to celestial mechanics and statistical mechanics) and the elements of arithmetic and physics during which KAM conception is living (dynamical structures, classical mechanics, and Hamiltonian perturbation theory).

Although a few assets on KAM conception are actually on hand for specialists, this e-book makes an attempt to fill a long-standing hole at a extra descriptive point. It sticks out very essentially from current guides on KAM thought since it leads the reader via an available account of the speculation and areas it in its right context in arithmetic, physics, and the background of science.


  • Introduction
  • Minimum Mathematical Background
  • Leading as much as KAM: A caricature of the History
  • KAM Theory
  • KAM in Context: Questions, results, Significance
  • Other ends up in Hamiltonian Perturbation thought (HPT)
  • Physical Applications
  • Appendices:
    • Kolmogorov's 1954 Paper
    • Overview of Low-Dimensional Small Divisor Problems
    • East Meets West — Russians, Europeans, Americans
    • Guide to additional Reading
    • Selected Quotations
    • Glossary

Readership: Undergraduates, graduates, and researchers commonly attracted to Hamiltonian perturbation idea, statistical mechanics, ergodic conception, Nekhoroshev concept, Arnold diffusion, nonlinear dynamics, dynamical structures, chaos idea, classical mechanics, and the historical past of those subjects.

Show description

Read Online or Download The KAM Story:A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov–Arnold–Moser Theory PDF

Best chaos & systems books

New PDF release: Dynamical Systems and Control (Stability and Control:

Dynamical platforms and keep an eye on files the main shows of the eleventh overseas Workshop on Dynamics and regulate, delivering a beginning for additional learn. Contributed papers make clear actual, organic, and financial phenomena via strains of reasoning that originate from this self-discipline.

New PDF release: Chaos theory in Psychology and the Life Sciences

This e-book represents the simplest of the 1st 3 years of the Society for Chaos thought in Psychology meetings. whereas chaos thought has been an issue of substantial curiosity within the actual and organic sciences, its purposes in psychology and comparable fields were obscured till lately by way of its complexity.

Antoine Chaigne,Jean Kergomard's Acoustics of Musical Instruments (Modern Acoustics and PDF

This e-book, the 1st English-language translation of Acoustique des tools de musique, moment Edition, presents the required foundations for realizing the advanced actual phenomena all for musical instruments. What is the functionality of the labium in a flute? Which positive aspects of an tool let us make a transparent audible contrast among a clarinet and a trumpet?

Read e-book online Neoclassical Theory of Electromagnetic Interactions: A PDF

During this monograph, the authors current their lately built concept of electromagnetic interactions. This neoclassical procedure extends the classical electromagnetic concept right down to atomic scales and permits the reason of varied non-classical phenomena within the similar framework. whereas the classical Maxwell–Lorentz electromagnetism conception succeeds in describing the actual truth at macroscopic scales, it struggles at atomic scales.

Additional info for The KAM Story:A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov–Arnold–Moser Theory

Example text

Download PDF sample

The KAM Story:A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov–Arnold–Moser Theory by H Scott Dumas

by Mark

Rated 4.69 of 5 – based on 25 votes

Published by admin