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#Thing/poincare_cartan> # Poincare-Cartan
    a schema:Thing ;
    schema:name "Poincare-Cartan" ;
    .

<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_newton> # mécanique Newton
    a schema:Intangible ;
    schema:name "mécanique Newton" ;
    .

<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.