{"title":"Erwin Schraml","description":null,"products":[{"product_id":"aqualog-special-freshwater-coral-fish-book-erwin-schraml-9783931702496","title":"Aqualog Special - Freshwater Coral Fish","description":null,"brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49601437237521,"sku":"GOR003358779","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3931702499.jpg?v=1751065270"},{"product_id":"aqualog-african-cichlids-i-malawi-mbuna-book-erwin-schraml-9783931702793","title":"Aqualog African Cichlids I, Malawi - Mbuna","description":null,"brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50397877403921,"sku":"CIN3931702790G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3931702790.jpg?v=1750775010"},{"product_id":"aqualog-loricariidae-all-l-numbers-book-erwin-schraml-9783936027518","title":"Aqualog Loricariidae: All L-numbers","description":"\u003cp\u003eINTRODUCTION TO ARNOLD'S PROF 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":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50880280232209,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50880280264977,"sku":"GOR005145412","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/393602751X.jpg?v=1751350762"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-erwin-schraml.oembed","provider":"World of Books ","version":"1.0","type":"link"}