skip to content
The inverse problem of the calculus of variations : local and global theory Preview this item
ClosePreview this item
Checking...

The inverse problem of the calculus of variations : local and global theory

Author: Dmitry V Zenkov
Publisher: [Amsterdam] : Atlantis Press, 2015.
Series: Atlantis studies in variational geometry, 2.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also  Read more...
Rating:

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

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

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

Details

Genre/Form: Electronic books
Additional Physical Format: (OCoLC)898418863
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Dmitry V Zenkov
ISBN: 9789462391093 9462391092
OCLC Number: 925478421
Description: 1 online resource.
Contents: The Helmholtz Conditions and the Method of Controlled Lagrangians --
The Sonin-Douglas Problem --
Inverse Variational Problem and Symmetry in Action: The Relativistic Third Order Dynamics --
Variational Principles for Immersed Submanifolds --
Source Forms and their Variational Completions --
First-Order Variational Sequences in Field Theory.
Series Title: Atlantis studies in variational geometry, 2.
Responsibility: Dmitry V. Zenkov, editor.
More information:

Abstract:

The Inverse Problem of the Calculus of Variations  Read more...

Reviews

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/925478421> # The inverse problem of the calculus of variations : local and global theory
    a schema:MediaObject, schema:Book, schema:CreativeWork ;
   library:oclcnum "925478421" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/ne> ;
   schema:about <http://dewey.info/class/515.64/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2770708746#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS / Mathematical Analysis
   schema:about <http://experiment.worldcat.org/entity/work/data/2770708746#Topic/mathematics_calculus> ; # MATHEMATICS / Calculus
   schema:about <http://experiment.worldcat.org/entity/work/data/2770708746#Topic/differential_equations> ; # Differential equations
   schema:about <http://experiment.worldcat.org/entity/work/data/2770708746#Topic/calculus_of_variations> ; # Calculus of variations
   schema:about <http://experiment.worldcat.org/entity/work/data/2770708746#Topic/geometry_differential> ; # Geometry, Differential
   schema:bookFormat schema:EBook ;
   schema:datePublished "2015" ;
   schema:description "The Helmholtz Conditions and the Method of Controlled Lagrangians -- The Sonin-Douglas Problem -- Inverse Variational Problem and Symmetry in Action: The Relativistic Third Order Dynamics -- Variational Principles for Immersed Submanifolds -- Source Forms and their Variational Completions -- First-Order Variational Sequences in Field Theory."@en ;
   schema:description "The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban)."@en ;
   schema:editor <http://experiment.worldcat.org/entity/work/data/2770708746#Person/zenkov_dmitry_v> ; # Dmitry V. Zenkov
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2770708746> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2770708746#Series/atlantis_studies_in_variational_geometry> ; # Atlantis studies in variational geometry ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/898418863> ;
   schema:name "The inverse problem of the calculus of variations : local and global theory"@en ;
   schema:productID "925478421" ;
   schema:url <http://dx.doi.org/10.2991/978-94-6239-109-3> ;
   schema:url <http://www.myilibrary.com?id=841661> ;
   schema:url <http://public.eblib.com/choice/PublicFullRecord.aspx?p=4179230> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1081956> ;
   schema:workExample <http://dx.doi.org/10.2991/978-94-6239-109-3> ;
   schema:workExample <http://worldcat.org/isbn/9789462391093> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/925478421> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2770708746#Person/zenkov_dmitry_v> # Dmitry V. Zenkov
    a schema:Person ;
   schema:familyName "Zenkov" ;
   schema:givenName "Dmitry V." ;
   schema:name "Dmitry V. Zenkov" ;
    .

<http://experiment.worldcat.org/entity/work/data/2770708746#Series/atlantis_studies_in_variational_geometry> # Atlantis studies in variational geometry ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/925478421> ; # The inverse problem of the calculus of variations : local and global theory
   schema:name "Atlantis studies in variational geometry ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/2770708746#Topic/calculus_of_variations> # Calculus of variations
    a schema:Intangible ;
   schema:name "Calculus of variations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2770708746#Topic/differential_equations> # Differential equations
    a schema:Intangible ;
   schema:name "Differential equations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2770708746#Topic/geometry_differential> # Geometry, Differential
    a schema:Intangible ;
   schema:name "Geometry, Differential"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2770708746#Topic/mathematics_calculus> # MATHEMATICS / Calculus
    a schema:Intangible ;
   schema:name "MATHEMATICS / Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2770708746#Topic/mathematics_mathematical_analysis> # MATHEMATICS / Mathematical Analysis
    a schema:Intangible ;
   schema:name "MATHEMATICS / Mathematical Analysis"@en ;
    .

<http://worldcat.org/isbn/9789462391093>
    a schema:ProductModel ;
   schema:isbn "9462391092" ;
   schema:isbn "9789462391093" ;
    .

<http://www.worldcat.org/oclc/898418863>
    a schema:CreativeWork ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/925478421> ; # The inverse problem of the calculus of variations : local and global theory
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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