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Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem by Achim Feldmeier at Abbey's Bookshop,
Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem
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Achim Feldmeier

Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem

Achim Feldmeier

$96.99

Paperback

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English
CRC Press
26 August 2024
Applied mathematics; Plasma physics; Mathematical physics
INTRODUCTION TO ARNOLD’S PROOF OF THE KOLMOGOROV–ARNOLD–MOSER THEOREM

This book provides an accessible step-by-step account of Arnold’s classical proof of the Kolmogorov–Arnold–Moser (KAM) Theorem. It begins with a general background of the theorem, proves the famous Liouville–Arnold theorem for integrable systems and introduces Kneser’s tori in four-dimensional phase space. It then introduces and discusses the ideas and techniques used in Arnold’s proof, before the second half of the book walks the reader through a detailed account of Arnold’s proof with all the required steps. It will be a useful guide for advanced students of mathematical physics, in addition to researchers and professionals.

Features

• Applies concepts and theorems from real and complex analysis (e.g., Fourier series and implicit function theorem) and topology in the framework of this key theorem from mathematical physics.

• Covers all aspects of Arnold’s proof, including those often left out in more general or simplifi ed presentations.

• Discusses in detail the ideas used in the proof of the KAM theorem and puts them in historical context (e.g., mapping degree from algebraic topology).
By:  
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   403g
ISBN:   9781032263380
ISBN 10:   1032263385
Pages:   205
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Author Achim Feldmeier is a professor at Universität Potsdam, Germany.

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