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
Author
Subject
Language
  • eng
  • 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
Dewey number
  • 515.7
  • 516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 0Ik00r8eLyM
  • QYuDkrHtl_c
Language note
English
LC call number
QC5.53
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Schmidt, Matthias.
Series statement
Theoretical and Mathematical Physics,
http://library.link/vocab/subjectName
  • Mathematical physics
  • Global analysis
  • Mechanics
  • Topological Groups
  • Global differential geometry
  • Mathematical Methods in Physics
  • Global Analysis and Analysis on Manifolds
  • Classical 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
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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
Edition
1st ed. 2013.
Extent
1 online resource (765 p.)
Form of item
online
Isbn
9781283909822
Media category
computer
Media type code
  • c
Other control number
10.1007/978-94-007-5345-7
Specific material designation
remote
System control number
  • (CKB)2670000000280547
  • (EBL)1083545
  • (OCoLC)820879071
  • (SSID)ssj0000798543
  • (PQKBManifestationID)11442883
  • (PQKBTitleCode)TC0000798543
  • (PQKBWorkID)10754718
  • (PQKB)11326237
  • (DE-He213)978-94-007-5345-7
  • (MiAaPQ)EBC1083545
  • (EXLCZ)992670000000280547
Label
Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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
Edition
1st ed. 2013.
Extent
1 online resource (765 p.)
Form of item
online
Isbn
9781283909822
Media category
computer
Media type code
  • c
Other control number
10.1007/978-94-007-5345-7
Specific material designation
remote
System control number
  • (CKB)2670000000280547
  • (EBL)1083545
  • (OCoLC)820879071
  • (SSID)ssj0000798543
  • (PQKBManifestationID)11442883
  • (PQKBTitleCode)TC0000798543
  • (PQKBWorkID)10754718
  • (PQKB)11326237
  • (DE-He213)978-94-007-5345-7
  • (MiAaPQ)EBC1083545
  • (EXLCZ)992670000000280547

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