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The Resource A geometric approach to differential forms, David Bachman, (electronic resource)
A geometric approach to differential forms, David Bachman, (electronic resource)
Resource Information
The item A geometric approach to differential forms, David Bachman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item A geometric approach to differential forms, David Bachman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 sophomorelevel class in vector calculus, as well as for more upperlevel courses in differential topology and differential geometry
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xvi, 156 p.)
 Contents

 Preface
 Guide to the Reader.Multivariable Calculus
 Parameterizations
 Introduction to Forms
 Forms
 Differential Forms
 Differentiation of Forms
 Stokes' Theorem
 Applications
 Manifolds
 Nonlinear Forms
 References
 Index
 Solutions
 Isbn
 9780817683047
 Label
 A geometric approach to differential forms
 Title
 A geometric approach to differential forms
 Statement of responsibility
 David Bachman
 Subject

 Differential forms
 Differential forms
 Differential forms
 Electronic resources
 Geometry, Differential
 Geometry, Differential
 Geometry, Differential
 Geometry, Differential
 Differential Geometry
 Global analysis
 Global differential geometry
 Mathematics
 Mathematics
 Real Functions
 Global Analysis and Analysis on Manifolds
 Differential forms
 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 sophomorelevel class in vector calculus, as well as for more upperlevel 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)
 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  Nonlinear 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)
 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  Nonlinear 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
Subject
 Differential forms
 Differential forms
 Differential forms
 Electronic resources
 Geometry, Differential
 Geometry, Differential
 Geometry, Differential
 Geometry, Differential
 Differential Geometry
 Global analysis
 Global differential geometry
 Mathematics
 Mathematics
 Real Functions
 Global Analysis and Analysis on Manifolds
 Differential forms
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AgeometricapproachtodifferentialformsDavid/gd8VZNuq_0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AgeometricapproachtodifferentialformsDavid/gd8VZNuq_0/">A geometric approach to differential forms, David Bachman, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>