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Item Details
Title: A COURSE IN MULTIVARIABLE CALCULUS AND ANALYSIS
By: Sudhor R. Ghorpade, Balmohan Vishnu Limaye
Format: Paperback

List price: £53.99


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ISBN 10: 1461425212
ISBN 13: 9781461425212
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 29 February, 2012
Edition: 2010 ed.
Series: Undergraduate Texts in Mathematics
Pages: 475
Description: This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.
Synopsis: This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus.This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.
Illustrations: 2 Tables, black and white; 65 Illustrations, color; XII, 475 p. 65 illus.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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