{"product_id":"geometry-of-integrable-systems-von-alessandro-arsie-und-igor-mencattini","title":"Geometry of Integrable Systems","description":"\n                                \n                \u003cp\u003eThis textbook explores differential geometrical aspects of the theory of completely integrable Hamiltonian systems. It provides a comprehensive introduction to the mathematical foundations and illustrates it with a thorough analysis of classical examples.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eThis book is organized into two parts. Part I contains a detailed, elementary exposition of the topics needed to start a serious geometrical analysis of complete integrability. This includes a background in symplectic and Poisson geometry, the study of Hamiltonian systems with symmetry, a primer on the theory of completely integrable systems, and a presentation of bi-Hamiltonian geometry.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003ePart II is devoted to the analysis of three classical examples of integrable systems. This includes the description of the (free) n-dimensional rigid-body, the rational Calogero-Moser system, and the open Toda system. In each case, ths system is described, its integrability is discussed, and at least one of its (known) bi-Hamiltonian descriptions is presented.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eThis work can benefit advanced undergraduate and beginning graduate students with a strong interest in geometrical methods of mathematical physics. Prerequisites include an introductory course in differential geometry and some familiarity with Hamiltonian and Lagrangian mechanics.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031962813\"\u003e\u003ch3\u003eAn Introduction\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031962813","offer_id":57041334960453,"sku":"9783031962813","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/70d7cdab-22a7-4347-8cec-e9cd4ecb98c5.jpg?v=1773205775","url":"https:\/\/shop.autorenwelt.de\/en\/products\/geometry-of-integrable-systems-von-alessandro-arsie-und-igor-mencattini","provider":"Autorenwelt Shop","version":"1.0","type":"link"}