Derivatives and Integrals of Multivariable Functions

Derivatives and Integrals of Multivariable Functions
Author :
Publisher : Springer Science & Business Media
Total Pages : 327
Release :
ISBN-10 : 9781461200352
ISBN-13 : 1461200350
Rating : 4/5 (350 Downloads)

Book Synopsis Derivatives and Integrals of Multivariable Functions by : Alberto Guzman

Download or read book Derivatives and Integrals of Multivariable Functions written by Alberto Guzman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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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