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OverviewINTRODUCTION 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). Full Product DetailsAuthor: Achim FeldmeierPublisher: Taylor & Francis Ltd Imprint: Taylor & Francis Ltd Weight: 0.453kg ISBN: 9781032263380ISBN 10: 1032263385 Pages: 205 Publication Date: 26 August 2024 Audience: General/trade , General Format: Paperback Publisher's Status: Forthcoming Availability: Not yet available ![]() This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsReviewsAuthor InformationAuthor Achim Feldmeier is a professor at Universit�t Potsdam, Germany. Tab Content 6Author Website:Countries AvailableAll regions |