Coverart for item
The Resource Differentiable manifolds : a theoretical physics approach, Gerardo F. Torres del Castillo

Differentiable manifolds : a theoretical physics approach, Gerardo F. Torres del Castillo

Label
Differentiable manifolds : a theoretical physics approach
Title
Differentiable manifolds
Title remainder
a theoretical physics approach
Statement of responsibility
Gerardo F. Torres del Castillo
Creator
Subject
Language
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
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Torres del Castillo, G. F.
Dewey number
516.3/6
Illustrations
illustrations
Index
index present
LC call number
QA614.3
LC item number
.T67 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Differentiable manifolds
  • Differentiable manifolds
Label
Differentiable manifolds : a theoretical physics approach, Gerardo F. Torres del Castillo
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 269-270) 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.-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
Control code
757938534
Dimensions
unknown
Extent
1 online resource (viii, 275 pages)
File format
unknown
Form of item
online
Isbn
9780817682712
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8271-2
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)757938534
Label
Differentiable manifolds : a theoretical physics approach, Gerardo F. Torres del Castillo
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 269-270) 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.-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
Control code
757938534
Dimensions
unknown
Extent
1 online resource (viii, 275 pages)
File format
unknown
Form of item
online
Isbn
9780817682712
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8271-2
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)757938534

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      38.944491 -92.326012
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