1st Edition
Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem
By Achim Feldmeier
Copyright 2023
217 Pages
37 B/W Illustrations
by
CRC Press
217 Pages
37 B/W Illustrations
by
CRC Press
217 Pages
37 B/W Illustrations
by
CRC Press
Also available as eBook on:
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... Read more
Chapter 1. Hamilton Theory
Chapter 2. Preliminaries
Chapter 3. Outline of the KAM Proof
Chapter 4. Proof of the KAM Theorem
Chapter 5. Analytic Lemmas
Chapter 6. Geometric Lemmas
Chapter 7. Convergence Lemmas
Chapter 8. Arithmetic Lemmas
Biography
Author
Achim Feldmeier is a professor at Universität Potsdam, Germany.
