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
Subject
Language
  • eng
  • rus
  • 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 approach, based on the theory of the geometry of manifolds, distinguishes itself 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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1937-2010
http://library.link/vocab/creatorName
Arnolʹd, V. I.
Illustrations
illustrations
Index
index present
LC call number
QA805
LC item number
.A6813 1989
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Mechanics, Analytic
  • Mekanik, Analitik
  • mécanique Hamilton
  • mécanique Lagrange
  • mécanique Newton
  • mécanique
  • Mécanique analytique
  • Mechanics, Analytic
  • Mathematik
  • Mathematische Methode
  • Mechanik
  • Theoretische Mechanik
  • Mécanique analytique
  • Mathematische Methode
  • Mechanik
Label
Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein
Instantiates
Publication
Note
  • Translation of: Mathematicheskie metody klassicheskoĭ mekhaniki
  • Includes index
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
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
Dimensions
24 cm.
Edition
2nd ed.
Extent
ix, 508 pages
Isbn
9783540968900
Lccn
88039823
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)18681352
  • (OCoLC)ocm18681352
Label
Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein
Publication
Note
  • Translation of: Mathematicheskie metody klassicheskoĭ mekhaniki
  • Includes index
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
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
Dimensions
24 cm.
Edition
2nd ed.
Extent
ix, 508 pages
Isbn
9783540968900
Lccn
88039823
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)18681352
  • (OCoLC)ocm18681352

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