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Derivatives and Integrals of Multivariable Functions

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ISBN-10: 0817642749

ISBN-13: 9780817642747

Edition: 2003

Authors: Alberto Guzman

List price: $54.99
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Description:

This work provides a systematic examination of derivatives and integrals of multivariable functions; it is suitable for a one-semester course in what is usually called advanced calculus of several variables. 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. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about functions of multiple variables. Topics covered include differentiability and its relation to partial derivatives;…    
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Book details

List price: $54.99
Copyright year: 2003
Publisher: Birkh�user Boston
Publication date: 8/22/2003
Binding: Paperback
Pages: 319
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 2.266
Language: English

Preface
Differentiability of Multivariable Functions
Derivatives of Scalar Functions
Derivatives of Vector Functions
Integrability of Multivariable Functions
Integrals of Scalar Functions
Vector Integrals and the Vector-Field Theorems
Solutions to Exercises
References
Index