{"product_id":"introduction-to-arnolds-proof-of-achim-feldmeier-9781032263380","title":"Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem","description":"\u003cp\u003eINTRODUCTION TO ARNOLD'S PROOF OF THE KOLMOGOROV-ARNOLD-MOSER THEOREM\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFeatures\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e- 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.\u003c\/p\u003e\u003cp\u003e- Covers all aspects of Arnold's proof, including those often left out in more general or simplifi ed presentations.\u003c\/p\u003e\u003cp\u003e- 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). \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Achim Feldmeier\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1032263385\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781032263380\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/26\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 205\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.69lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.46d","brand":"Achim Feldmeier","offers":[{"title":"Paperback","offer_id":46233187713279,"sku":"9781032263380","price":61.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_2bdb87b6-27fd-4d89-8e89-448d838963f0.jpg?v=1728992316","url":"https:\/\/www.whiterainbookhouse.com\/products\/introduction-to-arnolds-proof-of-achim-feldmeier-9781032263380","provider":"WR Book House","version":"1.0","type":"link"}