{"product_id":"lecture-notes-on-geometrical-aspects-of-partial-differential-equations-9789810207533","title":"Lecture Notes On Geometrical Aspects Of Partial Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart 1: Infinite dimensional manifolds. Part 2 Differential manifolds and PDE: Cartan distributions and differential manifolds; Lie-Backlund mappings and symmetry groups; Lie-Backlund fields and infinitesimal symmetries; Cartan forms, currents and conservation laws; c-spectral sequence. Part 3 External geometry: Backlund correspondence; differential submanifolds and the normal projection; external fields and forms; Green's formula; characteristic mapping. Part 4 Examples: trivial equations; evolution equations; Cauchy-Kowalevsky equations; Hamiltonian equations; Euler-Lagrange equations; Noether theorem; the classical relativistic string. Part 5 Differential algebras and PDE: differential algebras; fields, forms and differential operators; resolutions of differential algebras; differential ideals; conservation laws of lower dimensions.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":52091883585879,"sku":"9789810207533","price":93.6,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/lecture-notes-on-geometrical-aspects-of-partial-differential-equations-9789810207533","provider":"Book Curl","version":"1.0","type":"link"}