{"product_id":"derivatives-and-integrals-of-multivariable-functions-0817642749","title":"Derivatives and Integrals of Multivariable Functions","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0817642749\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Guzman, Alberto\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThis work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the authors previous text, \"Continuous Functions of Vector Variables\": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line.Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. \"Derivatives and Integrals of Multivariable Functions\" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68082844008736,"sku":"NEW0817642749","price":55.54,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/61GCT0VqRLL.jpg?v=1793547137","url":"https:\/\/miakarts.com\/products\/derivatives-and-integrals-of-multivariable-functions-0817642749","provider":"Miakarts Books","version":"1.0","type":"link"}