Coverart for item
The Resource Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein

Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein

Label
Mathematical methods of classical mechanics
Title
Mathematical methods of classical mechanics
Statement of responsibility
V.I. Arnold ; translated by K. Vogtmann and A. Weinstein
Creator
Contributor
Author
Translator
Subject
Language
eng
Summary
"In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance"--Publisher's description
Member of
Cataloging source
AU@
http://library.link/vocab/creatorDate
1937-2010
http://library.link/vocab/creatorName
Arnolʹd, V. I.
Dewey number
531/.01/515
Illustrations
illustrations
Index
index present
LC call number
QA805
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1949-
  • 1943-
  • 1937-2010
http://library.link/vocab/relatedWorkOrContributorName
  • Vogtmann, Karen
  • Weinstein, Alan
  • Arnolʹd, V. I.
Series statement
Graduate texts in mathematics,
Series volume
60
http://library.link/vocab/subjectName
  • Mechanics, Analytic
  • Mechanics, Analytic
  • Global analysis (Mathematics)
  • Mathematics
Label
Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein
Instantiates
Publication
Copyright
Note
Revised edition of: Mathematical methods of classical mechanics / V.I. Arnold ; translated by K. Vogtmann and A. Weinstein. ©1978
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
Newtonian mechanics : Experimental facts -- Investigation of the equations of motion -- Lagrangian mechanics : Variational principles -- Lagrangian mechanics on manifolds -- Oscillations -- Rigid Bodies -- Hamiltonian mechanics : Differential forms -- Symplectic manifolds -- Canonical formalism -- Introduction to perturbation theory -- Appendices
Control code
853270755
Edition
Second edition.
Extent
1 online resource (ix, 516 pages)
Form of item
online
Isbn
9781475720631
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4757-2063-1
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)853270755
Label
Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein
Publication
Copyright
Note
Revised edition of: Mathematical methods of classical mechanics / V.I. Arnold ; translated by K. Vogtmann and A. Weinstein. ©1978
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
Newtonian mechanics : Experimental facts -- Investigation of the equations of motion -- Lagrangian mechanics : Variational principles -- Lagrangian mechanics on manifolds -- Oscillations -- Rigid Bodies -- Hamiltonian mechanics : Differential forms -- Symplectic manifolds -- Canonical formalism -- Introduction to perturbation theory -- Appendices
Control code
853270755
Edition
Second edition.
Extent
1 online resource (ix, 516 pages)
Form of item
online
Isbn
9781475720631
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4757-2063-1
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)853270755

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