{"product_id":"lectures-on-the-calculus-of-variations-9780821821442","title":"Lectures on the Calculus of Variations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eBased on lectures delivered at the AMS meeting in 1901, this book describes the progress in calculus of variations. This title describes the landmark results of Weierstrass on sufficient conditions for the extremum of a functional in terms of the second variation. It helps in learning about classical calculus of variations.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eThe first variation of the integral $\\int_{x_0}^{x_1}F(x,y,y')dx$ The second variation of the integral $\\int_{x_0}^{x_1}F(x,y,y')dx$ Sufficient conditions for an extremum of the integral $\\int_{x_0}^{x_1}F(x,y,y')dx$ Weierstrass's theory of the problem in parameter representation Kneser's theory Weierstrass's theory of the isoperimetric problems Hilbert's existence theorem Index.","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":51038660854103,"sku":"9780821821442","price":54.9,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821821442.jpg?v=1750940962","url":"https:\/\/bookcurl.com\/products\/lectures-on-the-calculus-of-variations-9780821821442","provider":"Book Curl","version":"1.0","type":"link"}