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Analysis on fractals

Kigami, Jun.

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Analysis on fractals

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analysis on fractals/ Jun Kigami.
作者:	Kigami, Jun.
出版者:	Cambridge :Cambridge University Press, : 2001.,
面頁冊數:	viii, 226 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Fractals. -
電子資源:	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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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.
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