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 "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; ...
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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 "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.
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Add this copy of Derivatives and Integrals of Multivariable Functions to cart. $33.09, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2003 by Birkhäuser.
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Paperback. NOT Ex-library. Good condition. Clean pages and tight binding. Previous owner's name blacked out on top edge. Until further notice, USPS Priority Mail only reliable option for Hawaii. Proceeds benefit the Pima County Public Library system, which serves Tucson and southern Arizona. H22.
Add this copy of Derivatives and Integrals of Multivariable Functions to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2003 by Birkhauser.
