Achim Feldmeier
eBook, ePUB

Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem (eBook, ePUB)

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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 us...

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