The Resource A Geometric Approach to Differential Forms, by David Bachman, (electronic resource)

A Geometric Approach to Differential Forms, by David Bachman, (electronic resource)

Label
A Geometric Approach to Differential Forms
Title
A Geometric Approach to Differential Forms
Statement of responsibility
by David Bachman
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. 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. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember. The text is designed to support three distinct course tracks: the first as the primary textbook for third semester (multivariable) calculus, suitable for anyone with a year of calculus; the second is aimed at students enrolled in vector calculus; while the third targets advanced undergraduates and beginning graduate students in physics or mathematics, touching on more advanced topics such as Maxwell's equations, foliation theory, and cohomology. Containing excellent motivation, numerous illustrations and solutions to selected problems in an appendix, the material has been tested in the classroom along all three potential course tracks
http://library.link/vocab/creatorName
Bachman, David
Dewey number
514.74
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
Py9QwgDql28
Language note
English
LC call number
QA614-614.97
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Mathematics
  • Global differential geometry
  • Global Analysis and Analysis on Manifolds
  • Real Functions
  • Differential Geometry
Label
A Geometric Approach to Differential Forms, by David Bachman, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [123]) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Multivariable Calculus -- Parameterizations -- to Forms -- Forms -- Differential Forms -- Differentiation of Forms -- Stokes’ Theorem -- Applications -- Manifolds
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (140 p.)
Form of item
online
Isbn
9780817645205
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4520-5
Specific material designation
remote
System control number
  • (CKB)1000000000491996
  • (EBL)3062661
  • (SSID)ssj0000317937
  • (PQKBManifestationID)11246713
  • (PQKBTitleCode)TC0000317937
  • (PQKBWorkID)10307505
  • (PQKB)11414046
  • (DE-He213)978-0-8176-4520-5
  • (MiAaPQ)EBC3062661
  • (EXLCZ)991000000000491996
Label
A Geometric Approach to Differential Forms, by David Bachman, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [123]) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Multivariable Calculus -- Parameterizations -- to Forms -- Forms -- Differential Forms -- Differentiation of Forms -- Stokes’ Theorem -- Applications -- Manifolds
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (140 p.)
Form of item
online
Isbn
9780817645205
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4520-5
Specific material designation
remote
System control number
  • (CKB)1000000000491996
  • (EBL)3062661
  • (SSID)ssj0000317937
  • (PQKBManifestationID)11246713
  • (PQKBTitleCode)TC0000317937
  • (PQKBWorkID)10307505
  • (PQKB)11414046
  • (DE-He213)978-0-8176-4520-5
  • (MiAaPQ)EBC3062661
  • (EXLCZ)991000000000491996

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