INTRODUCTION TO ARNOLDS PROOF OF THE KOLMOGOROVARNOLDMOSER THEOREM.

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 theor...

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Bibliographic Details
Main Author:	Feldmeier, Achim
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	[S.l.] : CRC PRESS, 2022.
Subjects:	System theory. Théorie des systèmes. SCIENCE / Mathematical Physics SCIENCE / Mechanics / Dynamics / General MATHEMATICS / General System theory Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Hamilton theory
Preliminaries
Outline of the KAM proof
Proof of the KAM theorem
Analytic lemmas
Geometric lemmas
Convergence lemmas
Arithmetic lemmas.