The Resource 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
Resource Information
The item A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xii, 475 pages)
 Contents

 Vectors and Functions
 Sequences, Continuity, and Limits
 Partial and Total Differentiation
 Applications of Partial Differentiation
 Multiple Integration
 Applications and Approximations of Multiple Integrals
 Double Series and Improper Double Integrals
 Isbn
 9781441916211
 Label
 A course in multivariable calculus and analysis
 Title
 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
 http://library.link/vocab/creatorDate
 1963
 http://library.link/vocab/creatorName
 Ghorpade, Sudhir
 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
 http://library.link/vocab/relatedWorkOrContributorName
 Limaye, Balmohan Vishnu
 Series statement
 Undergraduate texts in mathematics,
 http://library.link/vocab/subjectName

 Calculus
 Functions of several complex variables
 Calculus
 Functions of several complex variables
 Functions of several complex variables
 Calculus
 Calculus
 Functions of several complex variables
 Analysis
 Label
 A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Vectors and Functions  Sequences, Continuity, and Limits  Partial and Total Differentiation  Applications of Partial Differentiation  Multiple Integration  Applications and Approximations of Multiple Integrals  Double Series and Improper Double Integrals
 Control code
 663094079
 Dimensions
 unknown
 Extent
 1 online resource (xii, 475 pages)
 Form of item
 online
 Isbn
 9781441916211
 Lccn
 2009940318
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441916211
 Other physical details
 illustrations (chiefly color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441916204
 Publisher number
 12542772
 Specific material designation
 remote
 System control number
 (OCoLC)663094079
 Label
 A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Vectors and Functions  Sequences, Continuity, and Limits  Partial and Total Differentiation  Applications of Partial Differentiation  Multiple Integration  Applications and Approximations of Multiple Integrals  Double Series and Improper Double Integrals
 Control code
 663094079
 Dimensions
 unknown
 Extent
 1 online resource (xii, 475 pages)
 Form of item
 online
 Isbn
 9781441916211
 Lccn
 2009940318
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441916211
 Other physical details
 illustrations (chiefly color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441916204
 Publisher number
 12542772
 Specific material designation
 remote
 System control number
 (OCoLC)663094079
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
Genre
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Acourseinmultivariablecalculusandanalysis/vF_hkW1_5lQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Acourseinmultivariablecalculusandanalysis/vF_hkW1_5lQ/">A course in multivariable calculus and analysis, Sudhir R. Ghorpade, Balmohan V. Limaye</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>