株式会社極東書店トップ ＞ 商品一覧 ＞ Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem.
商品詳細
Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem.
・ISBN 978-1-032-26338-0 paper GB£ 50.99
￥16,153.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Feldmeier, Achim, |
|---|---|
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2024 |
| ページ数 | 205 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12938＞ |
解説
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).