{"product_id":"fundamentals-of-advanced-mathematics-v3-9781785482502","title":"Fundamentals of Advanced Mathematics V3","description":"\u003cp\u003e • Author(s): Henri Bourles\u003cbr\u003e • Publisher: Iste Press - Elsevier\u003cbr\u003e • Publisher Imprint: Iste Press - Elsevier\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - Stochastic Processes\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eFundamentals of Advanced Mathematics, Volume Three, \u003c\/i\u003e begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations.\u003c\/p\u003e \u003cp\u003eThis volume is the prerequisite to the analytic and geometric study of nonlinear systems.\u003c\/p\u003e","brand":"Iste Press - Elsevier","offers":[{"title":"Hardcover","offer_id":45310115479703,"sku":"9781785482502","price":8645.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781785482502.webp?v=1769287063","url":"https:\/\/atlanticbooks.com\/products\/fundamentals-of-advanced-mathematics-v3-9781785482502","provider":"Atlantic Books","version":"1.0","type":"link"}