Coverart for item
The Resource Geometric mechanics, Waldyr Muniz Oliva

Geometric mechanics, Waldyr Muniz Oliva

Label
Geometric mechanics
Title
Geometric mechanics
Statement of responsibility
Waldyr Muniz Oliva
Creator
Subject
Language
eng
Summary
Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications
Member of
Cataloging source
COO
http://library.link/vocab/creatorName
Oliva, Waldyr M
Dewey number
  • 510 s
  • 531
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA805
LC item number
.L28 no. 1798
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1798
http://library.link/vocab/subjectName
  • Mechanics, Analytic
  • Geometry, Differential
  • Geometry, Differential
  • Mechanics, Analytic
Label
Geometric mechanics, Waldyr Muniz Oliva
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 259-261) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Differentiable manifolds -- Vector fields, differential forms and tensor fields -- Pseudo-riemannian manifolds -- Newtonian mechanics -- Mechanical systems on riemannian manifolds -- Mechanical Systems with non-holonomic constraints -- Hyperbolicity and Anosov systems -- Vakonomic mechanics -- Special relativity -- General relativity -- Appendix A: Hamiltonian and Lagrangian formalism -- Appendix B: Mbius transformations and the Lorentz group -- Appendix C: Quasi-Maxwell equations -- Appendix D: Viscosity solutions and Aubry-Mather theory
Control code
50993305
Dimensions
unknown
Extent
1 online resource (xi, 270 pages)
Form of item
online
Isbn
9783540457954
Lccn
2002032396
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)50993305
Label
Geometric mechanics, Waldyr Muniz Oliva
Publication
Bibliography note
Includes bibliographical references (pages 259-261) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Differentiable manifolds -- Vector fields, differential forms and tensor fields -- Pseudo-riemannian manifolds -- Newtonian mechanics -- Mechanical systems on riemannian manifolds -- Mechanical Systems with non-holonomic constraints -- Hyperbolicity and Anosov systems -- Vakonomic mechanics -- Special relativity -- General relativity -- Appendix A: Hamiltonian and Lagrangian formalism -- Appendix B: Mbius transformations and the Lorentz group -- Appendix C: Quasi-Maxwell equations -- Appendix D: Viscosity solutions and Aubry-Mather theory
Control code
50993305
Dimensions
unknown
Extent
1 online resource (xi, 270 pages)
Form of item
online
Isbn
9783540457954
Lccn
2002032396
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)50993305

Library Locations

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