The Resource A geometric approach to differential forms, David Bachman, (electronic resource)

A geometric approach to differential forms, David Bachman, (electronic resource)

Label
A geometric approach to differential forms
Title
A geometric approach to differential forms
Statement of responsibility
David Bachman
Creator
Contributor
Provider
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
Image bit depth
0
LC call number
QA381
LC item number
.B33 2012
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Differential forms
  • Geometry, Differential
  • Differential forms
  • Geometry, Differential
  • Mathematics
Label
A geometric approach to differential forms, David Bachman, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Color
not applicable
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
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xvi, 156 p.)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9780817683047
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)760300344
  • (OCoLC)ocn760300344
Label
A geometric approach to differential forms, David Bachman, (electronic resource)
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Color
not applicable
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
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xvi, 156 p.)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9780817683047
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)760300344
  • (OCoLC)ocn760300344

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