skip to content
Analysis on fractals Preview this item
ClosePreview this item
Checking...

Analysis on fractals

Author: Jun Kigami
Publisher: Cambridge ; New York : Cambridge University Press, 2001.
Series: Cambridge tracts in mathematics, 143.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion of fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and  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

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jun Kigami
ISBN: 0521793211 9780521793216
OCLC Number: 45799577
Description: viii, 226 pages : illustrations ; 24 cm.
Contents: Geometry of self-similar sets --
Analysis on limits of networks --
Construction of laplacians on P.C.F. self similar structures --
Eigenvalues and eigenfunctions of laplacians --
Heat kernels.
Series Title: Cambridge tracts in mathematics, 143.
Responsibility: Jun Kigami.
More information:

Abstract:

Self-contained introduction to analysis on fractals, a developing area of mathematics, for graduates and researchers.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

'... the most recent introduction to the analysis of 'Laplacians' on what physicists call finitely ramified self-similar fractals.' Volker Metz, Zentralblatt MATH 'Anyone with a background in the 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/45799577> # Analysis on fractals
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "45799577" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1028125#Place/cambridge> ; # Cambridge
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   schema:about <http://id.worldcat.org/fast/933507> ; # Fractals
   schema:about <http://experiment.worldcat.org/entity/work/data/1028125#Topic/fractales> ; # Fractales
   schema:about <http://id.worldcat.org/fast/1012068> ; # Mathematical analysis
   schema:about <http://experiment.worldcat.org/entity/work/data/1028125#Topic/analyse_mathematique> ; # Analyse mathématique
   schema:about <http://dewey.info/class/514.742/e21/> ;
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/71550308> ; # Jun Kigami
   schema:datePublished "2001" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1028125> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1028125#Series/cambridge_tracts_in_mathematics> ; # Cambridge tracts in mathematics ;
   schema:name "Analysis on fractals"@en ;
   schema:productID "45799577" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/45799577#PublicationEvent/cambridge_new_york_cambridge_university_press_2001> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1028125#Agent/cambridge_university_press> ; # Cambridge University Press
   schema:reviews <http://www.worldcat.org/title/-/oclc/45799577#Review/860008277> ;
   schema:url <http://catdir.loc.gov/catdir/toc/cam027/2001018484.html> ;
   schema:workExample <http://worldcat.org/isbn/9780521793216> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA1Y3947> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA135297> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/45799577> ;
    .


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/1028125#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
   schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/1028125#Series/cambridge_tracts_in_mathematics> # Cambridge tracts in mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/45799577> ; # Analysis on fractals
   schema:name "Cambridge tracts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1028125#Topic/analyse_mathematique> # Analyse mathématique
    a schema:Intangible ;
   schema:name "Analyse mathématique"@en ;
   schema:name "Analyse mathématique"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/1028125#Topic/fractales> # Fractales
    a schema:Intangible ;
   schema:name "Fractales"@en ;
   schema:name "Fractales"@fr ;
    .

<http://id.worldcat.org/fast/1012068> # Mathematical analysis
    a schema:Intangible ;
   schema:name "Mathematical analysis"@en ;
    .

<http://id.worldcat.org/fast/933507> # Fractals
    a schema:Intangible ;
   schema:name "Fractals"@en ;
    .

<http://viaf.org/viaf/71550308> # Jun Kigami
    a schema:Person ;
   schema:familyName "Kigami" ;
   schema:givenName "Jun" ;
   schema:name "Jun Kigami" ;
    .

<http://worldcat.org/isbn/9780521793216>
    a schema:ProductModel ;
   schema:isbn "0521793211" ;
   schema:isbn "9780521793216" ;
    .

<http://www.worldcat.org/title/-/oclc/45799577#Review/860008277>
    a schema:Review ;
   schema:itemReviewed <http://www.worldcat.org/oclc/45799577> ; # Analysis on fractals
   schema:reviewBody ""This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion of fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets." "Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals."--Jacket." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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