The Resource Hamiltonian Structures and Generating Families, by Sergio Benenti, (electronic resource)

Hamiltonian Structures and Generating Families, by Sergio Benenti, (electronic resource)

Label
Hamiltonian Structures and Generating Families
Title
Hamiltonian Structures and Generating Families
Statement of responsibility
by Sergio Benenti
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way. From the reviews of the Russian edition: "The main accent is shifted to the application . . . in geometrical optics, thermostatics and control theory, and not to the Hamiltonian mechanics only. . . . To make the book fairly self-contained, full details of basic definitions and all proofs are included. In this way, the majority of the text can be read without the prerequisite of a course in geometry. The excellent collection of examples illustrates the relatively hard and highly abstract mathematical theory and its hidden difficulties. . . . The book can rise real interest for specialists . . . . The . . . book is a significant input in the modern symplectic geometry and its applications." (Andrey Tsiganov, St. Petersburg State University) Sergio Benenti is a professor of mathematical physics at Università di Torino, Italy. His current fields of research include symplectic geometry with applications to physical theories, Riemannian geometry with applications to the theory of the separation of variables in the Hamilton-Jacobi equation and in other relevant differential equations of physics, and mathematical models of the dynamics of non-holonomic systems
Member of
Is Subseries of
http://library.link/vocab/creatorName
Benenti, Sergio
Dewey number
514.74
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
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Image bit depth
0
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Global differential geometry
  • Systems theory
  • Global analysis
  • Differential Geometry
  • Mathematical Applications in the Physical Sciences
  • Systems Theory, Control
  • Mathematical Physics
  • Global Analysis and Analysis on Manifolds
Label
Hamiltonian Structures and Generating Families, by Sergio Benenti, (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
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface.- Basic Notions of Calculus on Manifolds.- Relations.- Symplectic Relations on Symplectic Manifolds.- Symplectic Relations on Cotangent Bundles.- Canonical Lift on Cotangent Bundles.-The Geometry of the Hamilton-Jacobi Equation.- Hamiltonian Optics in Euclidean Spaces.- Control of Static Systems.- Supplementary Topics.- Global Hamilton Principal Functions on S2 and H2 -- References -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (XIV, 258p. 50 illus.)
File format
multiple file formats
Form of item
online
Isbn
9781461414995
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-1499-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000050787
  • (DE-He213)978-1-4614-1499-5
  • (SSID)ssj0000609862
  • (PQKBManifestationID)11362138
  • (PQKBTitleCode)TC0000609862
  • (PQKBWorkID)10621519
  • (PQKB)10795416
  • (MiAaPQ)EBC3067201
  • (EXLCZ)992550000000050787
Label
Hamiltonian Structures and Generating Families, by Sergio Benenti, (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
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface.- Basic Notions of Calculus on Manifolds.- Relations.- Symplectic Relations on Symplectic Manifolds.- Symplectic Relations on Cotangent Bundles.- Canonical Lift on Cotangent Bundles.-The Geometry of the Hamilton-Jacobi Equation.- Hamiltonian Optics in Euclidean Spaces.- Control of Static Systems.- Supplementary Topics.- Global Hamilton Principal Functions on S2 and H2 -- References -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (XIV, 258p. 50 illus.)
File format
multiple file formats
Form of item
online
Isbn
9781461414995
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-1499-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000050787
  • (DE-He213)978-1-4614-1499-5
  • (SSID)ssj0000609862
  • (PQKBManifestationID)11362138
  • (PQKBTitleCode)TC0000609862
  • (PQKBWorkID)10621519
  • (PQKB)10795416
  • (MiAaPQ)EBC3067201
  • (EXLCZ)992550000000050787

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