{"product_id":"9789814699778","title":"Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches: k-Symplectic and k-Cosymplectic Approaches","description":"\u003cp\u003eThis book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism.\u003c\/p\u003e\u003cp\u003eIt will be very useful for researchers working in classical field theories and graduate students interested in developing a scientific career in the subject.\u003c\/p\u003e\u003cbr\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eA Review of Hamiltonian and Lagrangian Mechanics:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\u003cli\u003eHamiltonian and Lagrangian Mechanics\u003c\/li\u003e\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003ek-Symplectic Formulation of Classical Field Theories:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003ci\u003ek\u003c\/i\u003e-Symplectic Geometry\u003c\/li\u003e\n\u003cli\u003e\n\u003ci\u003ek\u003c\/i\u003e-Symplectic Formalism\u003c\/li\u003e\n\u003cli\u003eHamiltonian Classical Field Theory\u003c\/li\u003e\n\u003cli\u003eHamilton–Jacobi Theory in \u003ci\u003ek\u003c\/i\u003e-Symplectic Field Theories\u003c\/li\u003e\n\u003cli\u003eLagrangian Classical Field Theories\u003c\/li\u003e\n\u003cli\u003eExamples\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003ek-Cosymplectic Formulation of Classical Field Theories:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003ci\u003ek\u003c\/i\u003e-Cosymplectic Geometry\u003c\/li\u003e\n\u003cli\u003e\n\u003ci\u003ek\u003c\/i\u003e-Cosymplectic Formalism\u003c\/li\u003e\n\u003cli\u003eHamiltonian Classical Field Theories\u003c\/li\u003e\n\u003cli\u003eHamilton–Jacobi Equation\u003c\/li\u003e\n\u003cli\u003eLagrangian Classical Field Theories\u003c\/li\u003e\n\u003cli\u003eExamples\u003c\/li\u003e\n\u003cli\u003e\n\u003ci\u003ek\u003c\/i\u003e-Symplectic Systems versus Autonomous \u003ci\u003ek\u003c\/i\u003e-Cosymplectic Systems\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eRelationship between \u003ci\u003ek\u003c\/i\u003e-Symplectic and \u003ci\u003ek\u003c\/i\u003e-Cosymplectic Approaches and the Multisymplectic Formalism:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\u003cli\u003eMultisymplectic Formalism\u003c\/li\u003e\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eAppendices:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eSymplectic Manifolds\u003c\/li\u003e\n\u003cli\u003eCosymplectic Manifolds\u003c\/li\u003e\n\u003cli\u003eGlossary of Symbols\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students and researchers in classical field theories.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThis book contains for the first time this new geometric approach to Classical Field Theory. Up to now the theory is disseminated in several journal papers\u003c\/li\u003e\n\u003cli\u003eThe subject is very active in the last years\u003c\/li\u003e\n\u003cli\u003eThere are many open problems in Classical Field Theories to be attacked using this new formalism\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47120339468528,"sku":"9789814699778","price":42.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814699778_p0.jpg?v=1763692033","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814699778","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}