A course in multivariable calculus and analysis
Resource Information
The work A course in multivariable calculus and analysis represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
A course in multivariable calculus and analysis
Resource Information
The work A course in multivariable calculus and analysis represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 A course in multivariable calculus and analysis
 Statement of responsibility
 Sudhir R. Ghorpade, Balmohan V. Limaye
 Subject

 Calculus
 Calculus
 Calculus
 Calculus
 Calculus  Problems, exercises, etc
 Functions of several complex variables
 Functions of several complex variables
 Functions of several complex variables
 Functions of several complex variables
 Functions of several complex variables  Problems, exercises, etc
 Problems and exercises
 Problems and exercises
 Analysis
 Language
 eng
 Summary
 This selfcontained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the onevariable calculus text, A Course in Calculus and Real Analysis, published in the same series. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in onevariable calculus. For example, when the general definition of the volume of a solid is given using triple integrals, the authors explain why the shell and washer methods of onevariable calculus for computing the volume of a solid of revolution must give the same answer. Further, the book includes genuine analogues of basic results in onevariable 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. Moreover, the emphasis is on a geometric approach to such basic notions as local extremum and saddle point. 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. There is also an informative section of "Notes and Comments'' indicating some novel features of the treatment of topics in that chapter as well as references to relevant literature. The only prerequisite for this text is a course in onevariable calculus
 Cataloging source
 GW5XE
 Dewey number
 515.94
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA303.2
 LC item number
 .G56 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Undergraduate texts in mathematics,
Context
Context of A course in multivariable calculus and analysisWork of
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 A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye
 A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye
 A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye
 A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye
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