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The Resource Differentiable Manifolds : A Theoretical Physics Approach, by Gerardo F. Torres del Castillo, (electronic resource)

Differentiable Manifolds : A Theoretical Physics Approach, by Gerardo F. Torres del Castillo, (electronic resource)

Creator
Author
Summary
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work’s first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics
Language
  • eng
  • eng
Work
Publication
Edition
1st ed. 2012.
Extent
1 online resource (VIII, 275 p. 20 illus.)
Note
Bibliographic Level Mode of Issuance: Monograph
Contents
  • Preface.-1 Manifolds.- 2 Lie Derivatives
  • 3 Differential Forms
  • 4 Integral Manifolds
  • 5 Connections
  • 6. Riemannian Manifolds
  • 7 Lie Groups
  • 8 Hamiltonian Classical Mechanics
  • References.-Index
Isbn
9780817682712
Instance
Label
Differentiable Manifolds : A Theoretical Physics Approach
Title
Differentiable Manifolds
Title remainder
A Theoretical Physics Approach
Statement of responsibility
by Gerardo F. Torres del Castillo
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work’s first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics
http://library.link/vocab/creatorName
Torres del Castillo, Gerardo F
Dewey number
514.34
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
TLbXDYNNvAA
Image bit depth
0
Language note
English
LC call number
  • QA613-613.8
  • QA613.6-613.66
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Cell aggregation
  • Mechanics
  • Mathematical physics
  • Topological Groups
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Classical Mechanics
  • Mathematical Methods in Physics
  • Topological Groups, Lie Groups
Label
Differentiable Manifolds : A Theoretical Physics Approach, by Gerardo F. Torres del Castillo, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Preface.-1 Manifolds.- 2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- References.-Index
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (VIII, 275 p. 20 illus.)
File format
multiple file formats
Form of item
online
Isbn
9780817682712
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-0-8176-8271-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000056492
  • (SSID)ssj0000609530
  • (PQKBManifestationID)11356041
  • (PQKBTitleCode)TC0000609530
  • (PQKBWorkID)10636146
  • (PQKB)10786898
  • (DE-He213)978-0-8176-8271-2
  • (MiAaPQ)EBC3067419
  • (EXLCZ)992550000000056492
Label
Differentiable Manifolds : A Theoretical Physics Approach, by Gerardo F. Torres del Castillo, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Preface.-1 Manifolds.- 2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- References.-Index
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (VIII, 275 p. 20 illus.)
File format
multiple file formats
Form of item
online
Isbn
9780817682712
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-0-8176-8271-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000056492
  • (SSID)ssj0000609530
  • (PQKBManifestationID)11356041
  • (PQKBTitleCode)TC0000609530
  • (PQKBWorkID)10636146
  • (PQKB)10786898
  • (DE-He213)978-0-8176-8271-2
  • (MiAaPQ)EBC3067419
  • (EXLCZ)992550000000056492

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