{"product_id":"9789400753440","title":"Theoretical and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems","description":"\u003ch1\u003eTheoretical and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems\u003c\/h1\u003e \u003ch2\u003eRudolph, Gerd; Schmidt, Matthias\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eStarting from an undergraduate level, this book systematically develops the basics of\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003e• \u003c\/i\u003eCalculus on manifolds, vector bundles, vector fields and differential forms,\u003c\/p\u003e\u003cp\u003e\u003ci\u003e• \u003c\/i\u003eLie groups and Lie group actions,\u003c\/p\u003e\u003cp\u003e\u003ci\u003e• \u003c\/i\u003eLinear symplectic algebra and symplectic geometry,\u003c\/p\u003e\u003cp\u003e\u003ci\u003e• \u003c\/i\u003eHamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.\u003c\/p\u003e\u003cp\u003eThe topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics.\u003c\/p\u003e\u003cp\u003eThe book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-10\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9789400753440\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-007-5345-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 762\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":45382395297932,"sku":"9789400753440","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789400753440.jpg?v=1779507116","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789400753440","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}