{"product_id":"introduction-to-arnold-s-proof-of-the-kolmogorov-arnold-moser-theorem","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","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":54237749117272,"sku":"9781032260655","price":210.8,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781032260655.jpg?v=1780027245","url":"https:\/\/agendabookshop.com\/products\/introduction-to-arnold-s-proof-of-the-kolmogorov-arnold-moser-theorem","provider":"Agenda Bookshop","version":"1.0","type":"link"}