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
Resource Information
The item Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein 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 Mathematical methods of classical mechanics, V.I. Arnold ; translated by K. Vogtmann and A. Weinstein 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
- "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
- Language
- eng
- Edition
- Second edition.
- Extent
- 1 online resource (ix, 516 pages)
- Note
- Revised edition of: Mathematical methods of classical mechanics / V.I. Arnold ; translated by K. Vogtmann and A. Weinstein. ©1978
- 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
- Isbn
- 9781475720631
- 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
- 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
- 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
- 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
- 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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