{"product_id":"9783031962813","title":"Latin American Mathematics Series: An Introduction","description":"\u003ch1\u003eLatin American Mathematics Series: An Introduction\u003c\/h1\u003e \u003ch2\u003eArsie, Alessandro; Mencattini, Igor\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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\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\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\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2026-01-10\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031962813\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-96282-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 564\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44395622695052,"sku":"9783031962813","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031962813_57e40a1d-83bc-4251-b890-d42fa1b4f59f.jpg?v=1772939897","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031962813","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}