{"product_id":"multivariable-calculus-hardcover","title":"Multivariable Calculus - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eIvan Dimov\u003c\/b\u003e (Author), \u003cb\u003eAleksandar Petkov\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFoundations of Multivariable Functions: Provide a comprehensive introduction to functions of multiple variables, including definitions, graphical interpretations, and basic properties. Cover topics such as partial derivatives, gradient vectors, and the concept of differentiability for functions of several variables.\u003c\/p\u003e\u003cp\u003eMultiple Integration Techniques: Explore techniques for evaluating multiple integrals, including double and triple integrals. Discuss applications of multiple integrals in calculating areas, volumes, and other physical quantities. Include methods for changing variables, such as polar, cylindrical, and spherical coordinates.\u003c\/p\u003e\u003cp\u003eVector Calculus and Field Theory: Examine key concepts in vector calculus, including vector fields, line integrals, surface integrals, and flux. Discuss fundamental theorems such as Green's Theorem, Stokes' Theorem, and the Divergence Theorem, and their applications in physics and engineering.\u003c\/p\u003e\u003cp\u003eOptimization and Constrained Optimization: Discuss methods for optimization in multivariable settings, including finding local and global extrema of functions. Cover techniques such as Lagrange multipliers for constrained optimization problems and the use of Hessian matrices for analyzing critical points.\u003c\/p\u003e\u003cp\u003eApplications and Advanced Topics: Address various applications of multivariable calculus in fields such as physics, engineering, economics, and computer science. Include advanced topics such as differential forms, manifold theory, and the applications of multivariable calculus in differential equations and dynamical systems.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 374\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.88 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 01, 2025\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":48266297082105,"sku":"9781787153776","price":172.78,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/OMQtx8c24j9781787153776.webp?v=1775672321","url":"https:\/\/bookscloud.io\/products\/multivariable-calculus-hardcover","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}