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<title><![CDATA[Comentarios al libro: DERIVATIVES AND INTEGRALS OF MULTIVARIABLE FUNCTIONS]]></title>
<link><![CDATA[https://www.biblioeteca.com/biblioeteca.web/titulo/derivatives-and-integrals-of-multivariable-functions]]></link>
<description><![CDATA[This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author?s 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.<p>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.]]></description>
<lastBuildDate>Mon, 31 Aug 2026 16:06:14 +0000</lastBuildDate>
<language>es</language>
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