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Book Overview
This book covers analysis on fractals, a developing area of mathematics that 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.
Format:Paperback
Language:English
ISBN:0521057116
ISBN13:9780521057110
Release Date:March 2008
Publisher:Cambridge University Press
Length:236 Pages
Weight:0.77 lbs.
Dimensions:0.5" x 6.0" x 9.0"
Related Subjects
General Geometry Math Mathematics Medical Medical Books Medicine Science & Math StatisticsCustomer Reviews
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