Introduction to Arnold s Proof of the Kolmogorov Arnold Moser Theorem is popular PDF and ePub book, written by Achim Feldmeier in 2022-07-08, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Introduction to Arnold s Proof of the Kolmogorov Arnold Moser Theorem can be Read Online from any device for your convenience.
Introduction to Arnold s Proof of the Kolmogorov Arnold Moser Theorem Book PDF Summary
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).
Detail Book of Introduction to Arnold s Proof of the Kolmogorov Arnold Moser Theorem PDF
- Author : Achim Feldmeier
- Release : 08 July 2022
- Publisher : CRC Press
- ISBN : 9781000610000
- Genre : Science
- Total Page : 355 pages
- Language : English
- PDF File Size : 20,8 Mb
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