The Resource Geometric mechanics, Waldyr Muniz Oliva
Geometric mechanics, Waldyr Muniz Oliva
Resource Information
The item Geometric mechanics, Waldyr Muniz Oliva represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Geometric mechanics, Waldyr Muniz Oliva represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Geometric Mechanics here means mechanics on a pseudoriemannian 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
 Language
 eng
 Extent
 1 online resource (xi, 270 pages)
 Contents

 Introduction
 Differentiable manifolds
 Vector fields, differential forms and tensor fields
 Pseudoriemannian manifolds
 Newtonian mechanics
 Mechanical systems on riemannian manifolds
 Mechanical Systems with nonholonomic 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: QuasiMaxwell equations
 Appendix D: Viscosity solutions and AubryMather theory
 Isbn
 9783540457954
 Label
 Geometric mechanics
 Title
 Geometric mechanics
 Statement of responsibility
 Waldyr Muniz Oliva
 Language
 eng
 Summary
 Geometric Mechanics here means mechanics on a pseudoriemannian 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
 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
 Bibliography note
 Includes bibliographical references (pages 259261) 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  Pseudoriemannian manifolds  Newtonian mechanics  Mechanical systems on riemannian manifolds  Mechanical Systems with nonholonomic 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: QuasiMaxwell equations  Appendix D: Viscosity solutions and AubryMather 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
 Bibliography note
 Includes bibliographical references (pages 259261) 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  Pseudoriemannian manifolds  Newtonian mechanics  Mechanical systems on riemannian manifolds  Mechanical Systems with nonholonomic 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: QuasiMaxwell equations  Appendix D: Viscosity solutions and AubryMather 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
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