skip to content
An introduction to symplectic geometry Preview this item
ClosePreview this item
Checking...

An introduction to symplectic geometry

Author: Rolf Berndt
Publisher: Providence, R.I. : American Mathematical Society, ©2001.
Series: Graduate studies in mathematics, v. 26.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Symplectic methods are key ingredients in the study of dynamical systems, differential equations, algebraic geometry, topology, mathematical physics and representations of Lie groups. This book  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

Document Type: Book
All Authors / Contributors: Rolf Berndt
ISBN: 0821820567 9780821820568
OCLC Number: 44084035
Language Note: Translated from the German.
Description: xvi, 195 pages ; 26 cm.
Contents: Some Aspects of Theoretical Mechanics. The Lagrange equations. Hamilton's equations. The Hamilton-Jacobi equation. A symplectic interpretation. Hamilton's equations via the Poisson bracket. Towards quantization --
Ch. 1. Sympletic Algebra. Symplectic vector spaces. Symplectic morphisms and symplectic groups. Subspaces of symplectic vector spaces. Complex structures of real symplectic spaces --
Ch. 2. Symplectic Manifolds. Symplectic manifolds and their morphisms. Darboux's theorem. The cotangent bundle. Kahler manifolds. Coadjoint oribits. Complex projective space. Symplectic invariants (a quick view) --
Ch. 3. Hamiltonian Vector Fields and the Poisson Bracket. Preliminaries. Hamiltonian systems. Poisson brackets. Contact manifolds.
Series Title: Graduate studies in mathematics, v. 26.
Other Titles: Einführung in die symplektische Geometrie.
Responsibility: Rolf Berndt ; translated by Michael Klucznik.

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/44084035> # An introduction to symplectic geometry
    a schema:CreativeWork, schema:Book ;
    bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/44084035#CreativeWork/unidentifiedOriginalWork> ; # Einführung in die symplektische Geometrie.
    library:oclcnum "44084035" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/riu> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/20394326#Place/providence_r_i> ; # Providence, R.I.
    schema:about <http://experiment.worldcat.org/entity/work/data/20394326#Topic/dynamische_systemen> ; # Dynamische systemen
    schema:about <http://id.worldcat.org/fast/1140989> ; # Symplectic geometry
    schema:about <http://experiment.worldcat.org/entity/work/data/20394326#Topic/ergodiciteit> ; # Ergodiciteit
    schema:about <http://experiment.worldcat.org/entity/work/data/20394326#Topic/geometrie_differentielle> ; # Géométrie différentielle
    schema:about <http://dewey.info/class/516.36/e21/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/20394326#Topic/symplektische_geometrie> ; # Symplektische Geometrie
    schema:about <http://experiment.worldcat.org/entity/work/data/20394326#Topic/varietes_symplectiques> ; # Variétés symplectiques
    schema:bookFormat bgn:PrintBook ;
    schema:copyrightYear "2001" ;
    schema:creator <http://viaf.org/viaf/116035211> ; # Rolf Berndt
    schema:datePublished "2001" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/20394326> ; # Einführung in die symplektische Geometrie.
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/20394326#Series/graduate_studies_in_mathematics> ; # Graduate studies in mathematics ;
    schema:isPartOf <http://worldcat.org/issn/1065-7339> ; # Graduate studies in mathematics,
    schema:name "An introduction to symplectic geometry"@en ;
    schema:productID "44084035" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/44084035#PublicationEvent/providence_r_i_american_mathematical_society_2001> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/20394326#Agent/american_mathematical_society> ; # American Mathematical Society
    schema:workExample <http://worldcat.org/isbn/9780821820568> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA120660> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/44084035> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/20394326#Agent/american_mathematical_society> # American Mathematical Society
    a bgn:Agent ;
    schema:name "American Mathematical Society" ;
    .

<http://experiment.worldcat.org/entity/work/data/20394326#Place/providence_r_i> # Providence, R.I.
    a schema:Place ;
    schema:name "Providence, R.I." ;
    .

<http://experiment.worldcat.org/entity/work/data/20394326#Series/graduate_studies_in_mathematics> # Graduate studies in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/44084035> ; # An introduction to symplectic geometry
    schema:name "Graduate studies in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/20394326#Topic/dynamische_systemen> # Dynamische systemen
    a schema:Intangible ;
    schema:name "Dynamische systemen"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/20394326#Topic/geometrie_differentielle> # Géométrie différentielle
    a schema:Intangible ;
    schema:name "Géométrie différentielle"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/20394326#Topic/symplektische_geometrie> # Symplektische Geometrie
    a schema:Intangible ;
    schema:name "Symplektische Geometrie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/20394326#Topic/varietes_symplectiques> # Variétés symplectiques
    a schema:Intangible ;
    schema:name "Variétés symplectiques"@fr ;
    .

<http://id.worldcat.org/fast/1140989> # Symplectic geometry
    a schema:Intangible ;
    schema:name "Symplectic geometry"@en ;
    .

<http://viaf.org/viaf/116035211> # Rolf Berndt
    a schema:Person ;
    schema:birthDate "1940" ;
    schema:familyName "Berndt" ;
    schema:givenName "Rolf" ;
    schema:name "Rolf Berndt" ;
    .

<http://worldcat.org/entity/work/id/20394326> # Einführung in die symplektische Geometrie.
    schema:name "Einführung in die symplektische Geometrie." ;
    .

<http://worldcat.org/isbn/9780821820568>
    a schema:ProductModel ;
    schema:isbn "0821820567" ;
    schema:isbn "9780821820568" ;
    .

<http://worldcat.org/issn/1065-7339> # Graduate studies in mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/44084035> ; # An introduction to symplectic geometry
    schema:issn "1065-7339" ;
    schema:name "Graduate studies in mathematics," ;
    .

<http://www.worldcat.org/title/-/oclc/44084035#CreativeWork/unidentifiedOriginalWork> # Einführung in die symplektische Geometrie.
    a schema:CreativeWork ;
    schema:inLanguage "de" ;
    schema:name "Einführung in die symplektische Geometrie." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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