skip to content
Advanced mechanics : from Euler's deteminism to Arnold's chaos Preview this item
ClosePreview this item
Checking...

Advanced mechanics : from Euler's deteminism to Arnold's chaos

Author: S G Rajeev
Publisher: Oxford : Oxford University Press, 2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book begins with the ancient parts of classical mechanics: the variational principle, Lagrangian and Hamiltonian formalisms, and Poisson brackets. Hamilton-Jacobi theory is discussed, showing a path towards quantum mechanics and a connection to the eikonal of optics. The three body problem is studied in detail, including small orbits around the Lagrange points. Chaos on the complex plane is also covered: Julia  Read more...
Rating:

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

Subjects
More like this

Find a copy online

Find a copy in the library

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

Details

Genre/Form: Electronic books
Additional Physical Format: Print version
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: S G Rajeev
ISBN: 9780191775154 0191775150 1299848362 9781299848368
OCLC Number: 967258751
Description: 1 online resource : illustrations.
Contents: The variational principle --
Conservation laws --
The simple pendulum --
The Kepler problem --
The rigid body --
Geometric theory of ordinary differential equations --
Hamilton's principle --
Geodesics --
Hamilton-Jacobi theory --
Integrable systems --
The three body problem --
The restricted three body problem --
Magnetic fields --
Poisson and symplectic manifolds --
Discrete time --
Dynamics in one real variable --
Dynamics on the complex plane --
KAM theory.
Responsibility: S.G. Rajeev.

Abstract:

This book can be used as a textbook for a graduate course on mechanics or for self-study. There are a variety of problems ranging from exercises that verify parts of the text, moderately difficult  Read more...

Reviews

Editorial reviews

Publisher Synopsis

Rajeev approaches his choice of topics and organization from the point of view of one who is intimately familiar with modern physics. Although he starts from very elementary classical mechanics, he Read more...

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

Tags

Be the first.

Similar Items

Related Subjects:(2)

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/967258751> # Advanced mechanics : from Euler's deteminism to Arnold's chaos
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "967258751" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    schema:about <http://dewey.info/class/531/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1284425227#Topic/mechanik> ; # Mechanik
    schema:about <http://experiment.worldcat.org/entity/work/data/1284425227#Topic/mechanics> ; # Mechanics
    schema:author <http://experiment.worldcat.org/entity/work/data/1284425227#Person/rajeev_s_g_sarada_g> ; # Sarada G. Rajeev
    schema:bookFormat schema:EBook ;
    schema:datePublished "2013" ;
    schema:description "This book begins with the ancient parts of classical mechanics: the variational principle, Lagrangian and Hamiltonian formalisms, and Poisson brackets. Hamilton-Jacobi theory is discussed, showing a path towards quantum mechanics and a connection to the eikonal of optics. The three body problem is studied in detail, including small orbits around the Lagrange points. Chaos on the complex plane is also covered: Julia sets, Fatou sets and the Mandelblot."@en ;
    schema:description "The variational principle -- Conservation laws -- The simple pendulum -- The Kepler problem -- The rigid body -- Geometric theory of ordinary differential equations -- Hamilton's principle -- Geodesics -- Hamilton-Jacobi theory -- Integrable systems -- The three body problem -- The restricted three body problem -- Magnetic fields -- Poisson and symplectic manifolds -- Discrete time -- Dynamics in one real variable -- Dynamics on the complex plane -- KAM theory."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1284425227> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/1284425227#CreativeWork/> ;
    schema:name "Advanced mechanics : from Euler's deteminism to Arnold's chaos"@en ;
    schema:productID "967258751" ;
    schema:url <http://dx.doi.org/10.1093/acprof:oso/9780199670857.001.0001> ;
    schema:url <http://www.myilibrary.com?id=516087> ;
    schema:workExample <http://worldcat.org/isbn/9781299848368> ;
    schema:workExample <http://worldcat.org/isbn/9780191775154> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/967258751> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1284425227#Person/rajeev_s_g_sarada_g> # Sarada G. Rajeev
    a schema:Person ;
    schema:familyName "Rajeev" ;
    schema:givenName "Sarada G." ;
    schema:givenName "S. G." ;
    schema:name "Sarada G. Rajeev" ;
    .

<http://worldcat.org/entity/work/data/1284425227#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Print version" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/967258751> ; # Advanced mechanics : from Euler's deteminism to Arnold's chaos
    .

<http://worldcat.org/isbn/9780191775154>
    a schema:ProductModel ;
    schema:isbn "0191775150" ;
    schema:isbn "9780191775154" ;
    .

<http://worldcat.org/isbn/9781299848368>
    a schema:ProductModel ;
    schema:isbn "1299848362" ;
    schema:isbn "9781299848368" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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