The Resource Advanced calculus : a differential forms approach, by Harold M. Edwards
Advanced calculus : a differential forms approach, by Harold M. Edwards
Resource Information
The item Advanced calculus : a differential forms approach, by Harold M. Edwards 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 Advanced calculus : a differential forms approach, by Harold M. Edwards 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
 In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes' theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordable softcover reprint of the 1994 editionpresents the diverse set of topics from which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra, implicit differentiation in higher dimensions using the calculus of differential forms, and the method of Lagrange multipliers in a general but easytouse formulation. There are copious exercises to help guide the reader in testing understanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some of the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vector analysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature; the student fortunate enough to have gone through this book will have a firm grasp of the nature of modern mathematics and a solid framework to continue to more advanced studies. The most important feature ... is that it is funit is fun to read the exercises, it is fun to read the comments printed in the margins, it is fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an excitement and liveliness that show why we are interested in the subject. The American Mathematical Monthly (First Review) An inviting, unusual, highlevel introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, downtoearth but general, geometrically rigorous, entertaining but serious. Remarkable diverse applications, physical and mathematical. The American Mathematical Monthly (1994) Based on the Second Edition
 Language
 eng
 Extent
 1 online resource (XIX, 508 pages 102 illustrations)
 Contents

 Constant Forms
 Integrals
 Integration and Differentiation
 Linear Algebra
 Differential Calculus
 Integral Calculus
 Practical Methods of Solution
 Applications
 Further Study of Limits
 Appendices
 Answers to Exercises
 Index
 Isbn
 9780817684129
 Label
 Advanced calculus : a differential forms approach
 Title
 Advanced calculus
 Title remainder
 a differential forms approach
 Statement of responsibility
 by Harold M. Edwards
 Language
 eng
 Summary
 In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes' theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordable softcover reprint of the 1994 editionpresents the diverse set of topics from which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra, implicit differentiation in higher dimensions using the calculus of differential forms, and the method of Lagrange multipliers in a general but easytouse formulation. There are copious exercises to help guide the reader in testing understanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some of the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vector analysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature; the student fortunate enough to have gone through this book will have a firm grasp of the nature of modern mathematics and a solid framework to continue to more advanced studies. The most important feature ... is that it is funit is fun to read the exercises, it is fun to read the comments printed in the margins, it is fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an excitement and liveliness that show why we are interested in the subject. The American Mathematical Monthly (First Review) An inviting, unusual, highlevel introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, downtoearth but general, geometrically rigorous, entertaining but serious. Remarkable diverse applications, physical and mathematical. The American Mathematical Monthly (1994) Based on the Second Edition
 Cataloging source
 FIE
 http://library.link/vocab/creatorName
 Edwards, Harold M
 Dewey number
 515
 Illustrations
 illustrations
 Image bit depth
 0
 Index
 no index present
 Language note
 English
 LC call number
 QA303
 LC item number
 .E393 2014eb
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Modern Birkhäuser Classics,
 http://library.link/vocab/subjectName

 Mathematics
 Global analysis (Mathematics)
 Functional analysis
 Sequences (Mathematics)
 Functional analysis
 Global analysis (Mathematics)
 Mathematics
 Sequences (Mathematics)
 Label
 Advanced calculus : a differential forms approach, by Harold M. Edwards
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Constant Forms  Integrals  Integration and Differentiation  Linear Algebra  Differential Calculus  Integral Calculus  Practical Methods of Solution  Applications  Further Study of Limits  Appendices  Answers to Exercises  Index
 Control code
 871282973
 Dimensions
 unknown
 Extent
 1 online resource (XIX, 508 pages 102 illustrations)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9780817684129
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817684129
 Other physical details
 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)871282973
 Label
 Advanced calculus : a differential forms approach, by Harold M. Edwards
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Constant Forms  Integrals  Integration and Differentiation  Linear Algebra  Differential Calculus  Integral Calculus  Practical Methods of Solution  Applications  Further Study of Limits  Appendices  Answers to Exercises  Index
 Control code
 871282973
 Dimensions
 unknown
 Extent
 1 online resource (XIX, 508 pages 102 illustrations)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9780817684129
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817684129
 Other physical details
 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)871282973
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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/Advancedcalculusadifferentialforms/qGxqX3iohro/" 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/Advancedcalculusadifferentialforms/qGxqX3iohro/">Advanced calculus : a differential forms approach, by Harold M. Edwards</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>