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

 
9781032260655: Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem
  • PublisherCRC Press
  • Publication date2022
  • ISBN 10 1032260653
  • ISBN 13 9781032260655
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages218

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -INTRODUCTION TO ARNOLD'S PROOF OF THE KOLMOGOROV-ARNOLD-MOSER THEOREMThis 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). 205 pp. Englisch. Seller Inventory # 9781032260655

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. AuthorAchim Feldmeier is a professor at Universitaet Potsdam, Germany. Applies concepts and theorems from real and complex analysis (e.g. Fourier series implicit function theorem) and topology in the framework of this key theor. Seller Inventory # 577524935

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