skip to content
Mathematical methods of classical mechanics Preview this item
ClosePreview this item
Checking...

Mathematical methods of classical mechanics

Author: Vladimir Igorevich Arnol'd
Publisher: New York : Springer-Verlag, ©1989.
Series: Graduate texts in mathematics., 60.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism.  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Matériel didactique
Document Type: Book
All Authors / Contributors: Vladimir Igorevich Arnol'd
ISBN: 0387968903 9780387968902 3540968903 9783540968900
OCLC Number: 299455931
Notes: Trad. de : Mathematicheskie metody klassicheskoï mekhaniki.
Description: [xvi], 516 p. : ill.
Contents: I Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem.- Appendix 9 Poincare's geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.
Series Title: Graduate texts in mathematics., 60.
Responsibility: V.I. Arnold ; translated by K. Vogtmann and A. Weinstein.
More information:

Reviews

Editorial reviews

Publisher Synopsis

Second EditionV.I. Arnol'dMathematical Methods of Classical Mechanics"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/299455931> # Mathematical methods of classical mechanics
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "299455931" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/mecanique> ; # Mecanique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/physique_mathematique> ; # Physique mathématique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/hamiltonien> ; # Hamiltonien
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/liouville> ; # Liouville
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/principe> ; # Principe
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mathematik> ; # Mathematik
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/vecteur> ; # Vecteur
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/analytique> ; # Analytique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/hamilton> ; # Hamilton
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_physique> ; # mécanique (physique)
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/lie> ; # Lie
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_analytique> ; # Mécanique analytique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique> ; # mécanique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/theoreme> ; # Theoreme
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/corps> ; # Corps
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/theorie> ; # Theorie
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/mathematique> ; # Mathematique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/methodes_mathematiques> ; # méthodes (mathématiques)
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/kolmogorov> ; # Kolmogorov
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/noether> ; # Noether
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/lagrangien> ; # Lagrangien
   schema:about <http://dewey.info/class/531.01515/e19/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/newtonien> ; # Newtonien
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_hamilton> ; # mécanique Hamilton
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mathematiques> ; # Mathématiques
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_newton> ; # mécanique Newton
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/algebre> ; # Algebre
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/classique> ; # Classique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/poincare_cartan> ; # Poincare-Cartan
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/multiplicite> ; # Multiplicite
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_lagrange> ; # mécanique Lagrange
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/physique> ; # Physique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/perturbation> ; # Perturbation
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/lagrange> ; # Lagrange
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/huygens> ; # Huygens
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/geometrie_symplectique> ; # Géométrie symplectique
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mathematische_methode> ; # Mathematische Methode
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/d_alembert> ; # D'Alembert
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/vectoriel> ; # Vectoriel
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/rigide> ; # Rigide
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/methode> ; # Methode
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/newton> ; # Newton
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Thing/oscillation> ; # Oscillation
   schema:about <http://experiment.worldcat.org/entity/work/data/501183426#Topic/mechanik> ; # Mechanik
   schema:bookEdition "2nd ed." ;
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "1989" ;
   schema:creator <http://viaf.org/viaf/49221000> ; # Vladimir Igorevich Arnol'd
   schema:datePublished "1989" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/501183426> ;
   schema:genre "Matériel didactique"@fr ;
   schema:genre "Matériel didactique" ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/501183426#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics. ;
   schema:name "Mathematical methods of classical mechanics" ;
   schema:numberOfPages "516" ;
   schema:productID "299455931" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/299455931#PublicationEvent/new_york_springer_verlag_1989> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/501183426#Agent/springer_verlag> ; # Springer-Verlag
   schema:workExample <http://worldcat.org/isbn/9783540968900> ;
   schema:workExample <http://worldcat.org/isbn/9780387968902> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/299455931> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
   schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics. ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/299455931> ; # Mathematical methods of classical mechanics
   schema:name "Graduate texts in mathematics. ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/geometrie_symplectique> # Géométrie symplectique
    a schema:Intangible ;
   schema:name "Géométrie symplectique" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/mathematische_methode> # Mathematische Methode
    a schema:Intangible ;
   schema:name "Mathematische Methode" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_analytique> # Mécanique analytique
    a schema:Intangible ;
   schema:name "Mécanique analytique" ;
   schema:name "Mécanique analytique"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_hamilton> # mécanique Hamilton
    a schema:Intangible ;
   schema:name "mécanique Hamilton" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_lagrange> # mécanique Lagrange
    a schema:Intangible ;
   schema:name "mécanique Lagrange" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/mecanique_physique> # mécanique (physique)
    a schema:Intangible ;
   schema:name "mécanique (physique)" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/methodes_mathematiques> # méthodes (mathématiques)
    a schema:Intangible ;
   schema:name "méthodes (mathématiques)" ;
    .

<http://experiment.worldcat.org/entity/work/data/501183426#Topic/physique_mathematique> # Physique mathématique
    a schema:Intangible ;
   schema:name "Physique mathématique" ;
    .

<http://viaf.org/viaf/49221000> # Vladimir Igorevich Arnol'd
    a schema:Person ;
   schema:birthDate "1937" ;
   schema:familyName "Arnol'd" ;
   schema:givenName "Vladimir Igorevich" ;
   schema:name "Vladimir Igorevich Arnol'd" ;
    .

<http://worldcat.org/isbn/9780387968902>
    a schema:ProductModel ;
   schema:isbn "0387968903" ;
   schema:isbn "9780387968902" ;
    .

<http://worldcat.org/isbn/9783540968900>
    a schema:ProductModel ;
   schema:isbn "3540968903" ;
   schema:isbn "9783540968900" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.