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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)
Resource Information
The item Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems, by Gerd Rudolph, Matthias Schmidt, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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 HamiltonJacobi 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
 Language

 eng
 eng
 Edition
 1st ed. 2013.
 Extent
 1 online resource (765 p.)
 Note
 Description based upon print version of record
 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 HamiltonJacobi theory
 References
 Isbn
 9781283909822
 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
 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 HamiltonJacobi 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
 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)
 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 HamiltonJacobi 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
 10.1007/9789400753457
 Specific material designation
 remote
 System control number

 (CKB)2670000000280547
 (EBL)1083545
 (OCoLC)820879071
 (SSID)ssj0000798543
 (PQKBManifestationID)11442883
 (PQKBTitleCode)TC0000798543
 (PQKBWorkID)10754718
 (PQKB)11326237
 (DEHe213)9789400753457
 (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)
 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 HamiltonJacobi 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
 10.1007/9789400753457
 Specific material designation
 remote
 System control number

 (CKB)2670000000280547
 (EBL)1083545
 (OCoLC)820879071
 (SSID)ssj0000798543
 (PQKBManifestationID)11442883
 (PQKBTitleCode)TC0000798543
 (PQKBWorkID)10754718
 (PQKB)11326237
 (DEHe213)9789400753457
 (MiAaPQ)EBC1083545
 (EXLCZ)992670000000280547
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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