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Analysis on fractals

Kigami, Jun.

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Analysis on fractals

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis on fractals/ Jun Kigami.
Author:	Kigami, Jun.
Published:	Cambridge :Cambridge University Press, : 2001.,
Description:	viii, 226 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Fractals. -
Online resource:	https://doi.org/10.1017/CBO9780511470943
ISBN:	9780511470943

Analysis on fractals
Kigami, Jun.

Analysis on fractals[electronic resource] /Jun Kigami. - Cambridge :Cambridge University Press,2001. - viii, 226 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;143. - Cambridge tracts in mathematics ;143..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Geometry of self-similar sets --

This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on 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.

ISBN: 9780511470943Subjects--Topical Terms:

524457
Fractals.

LC Class. No.: QA614.86 / .K54 2001

Dewey Class. No.: 514.742

Analysis on fractals
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100 1 $a Kigami, Jun. $3 752934
245 1 0 $a Analysis on fractals $h [electronic resource] / $c Jun Kigami.
260 $a Cambridge : $b Cambridge University Press, $c 2001.
300 $a viii, 226 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 143
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $t Geometry of self-similar sets -- $t Analysis on limits of networks -- $t Construction of laplacians on P.C.F. self similar structures -- $t Eigenvalues and eigenfunctions of laplacians -- $t Heat kernels.
520 $a This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on 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.
650 0 $a Fractals. $3 524457
650 0 $a Mathematical analysis. $3 516833
830 0 $a Cambridge tracts in mathematics ; $v 143. $3 3470690
856 4 0 $u https://doi.org/10.1017/CBO9780511470943