The Resource Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource)

Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource)

Label
Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems
Title
Differential Geometry and Mathematical Physics
Title remainder
Part I. Manifolds, Lie Groups and Hamiltonian Systems
Statement of responsibility
by Gerd Rudolph, Matthias Schmidt
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact
Member of
http://library.link/vocab/creatorName
Rudolph, Gerd
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Schmidt, Matthias.
  • SpringerLink
Series statement
Theoretical and Mathematical Physics,
http://library.link/vocab/subjectName
  • Physics
  • Topological Groups
  • Global analysis
  • Global differential geometry
  • Mathematical physics
  • Mechanics
  • Physics
  • Mathematical Methods in Physics
  • Global Analysis and Analysis on Manifolds
  • Mechanics
  • Topological Groups, Lie Groups
  • Differential Geometry
Label
Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References
Dimensions
unknown
Extent
XIII, 759 p. 39 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9789400753457
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-007-5345-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-94-007-5345-7
Label
Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References
Dimensions
unknown
Extent
XIII, 759 p. 39 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9789400753457
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-94-007-5345-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-94-007-5345-7

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