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The Resource Advanced calculus : a differential forms approach, by Harold M. Edwards

Advanced calculus : a differential forms approach, by Harold M. Edwards

Label
Advanced calculus : a differential forms approach
Title
Advanced calculus
Title remainder
a differential forms approach
Statement of responsibility
by Harold M. Edwards
Creator
Author
Subject
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 easy-to-use 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 fun--it 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, high-level introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, down-to-earth but general, geometrically rigorous, entertaining but serious. Remarkable diverse applications, physical and mathematical. --The American Mathematical Monthly (1994) Based on the Second Edition
Member of
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
Instantiates
Publication
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
10.1007/978-0-8176-8412-9
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
Publication
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
10.1007/978-0-8176-8412-9
Other physical details
illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)871282973

Library Locations

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      38.944491 -92.326012
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