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The Resource A geometric approach to differential forms, David Bachman

A geometric approach to differential forms, David Bachman

Label
A geometric approach to differential forms
Title
A geometric approach to differential forms
Statement of responsibility
David Bachman
Creator
Subject
Language
eng
Summary
"[The author's] idea is to use geometric intuition to alleviate some of the algebraic difficulties ... The emphasis is on understanding rather than on detailed derivations and proofs. This is definitely the right approach in a course at this level."¡¡ --MAA Reviews (Review of First Edition) "The book certainly has its merits and is very nicely illustrated ... It should be noted that the material, which has been tested already in the classroom, aims at three potential course tracks: a course in multivariable calculus, a course in vector calculus and a course for more advanced undergraduates (and beginning graduates)."¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡ --Mathematical Reviews (Review of First Edition) The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level.¡ The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural¡picture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Bachman, David
Dewey number
515/.37
Index
index present
Language note
English
LC call number
QA381
LC item number
.B33 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
http://library.link/vocab/subjectName
  • Differential forms
  • Geometry, Differential
  • Mathematics
  • Differential forms
  • Geometry, Differential
Label
A geometric approach to differential forms, David Bachman
Instantiates
Publication
Antecedent source
unknown
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
Preface -- Guide to the Reader.-Multivariable Calculus -- Parameterizations -- Introduction to Forms -- Forms -- Differential Forms -- Differentiation of Forms -- Stokes' Theorem -- Applications -- Manifolds -- Non-linear Forms -- References -- Index -- Solutions
Control code
760300344
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xvi, 156 pages)
File format
unknown
Form of item
online
Isbn
9780817683047
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8304-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)760300344
Label
A geometric approach to differential forms, David Bachman
Publication
Antecedent source
unknown
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
Preface -- Guide to the Reader.-Multivariable Calculus -- Parameterizations -- Introduction to Forms -- Forms -- Differential Forms -- Differentiation of Forms -- Stokes' Theorem -- Applications -- Manifolds -- Non-linear Forms -- References -- Index -- Solutions
Control code
760300344
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xvi, 156 pages)
File format
unknown
Form of item
online
Isbn
9780817683047
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8304-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)760300344

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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