£52.20

Cambridge University Press Cambridge Analysis on Fractals - Mathematics Tracts 143

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Description

Expand your mathematical knowledge with Analysis on Fractals, part of the Cambridge Tracts in Mathematics series. This book provides a self-contained introduction to a developing field of study, focusing on the dynamical aspects of fractals. It is designed for readers with a basic knowledge of advanced analysis, general topology, and measure theory. Explore how heat diffusion and material vibrations function within fractal structures. The text moves from the fundamental geometry of self-similar sets to advanced recent results. Readers will gain insights into the properties of eigenvalues and eigenfunctions of Laplacians, as well as the asymptotical behaviors of heat kernels on self-similar sets. This volume serves as a comprehensive resource for those looking to understand the mathematical foundations and recent developments in fractal analysis.

Key Features

Provides a self-contained introduction to fractal analysis for students and researchers.

Covers essential topics including the basic geometry of self-similar sets.

Examines dynamical aspects such as heat diffusion and material vibration on fractal structures.

Discusses recent mathematical results regarding Laplacian eigenvalues and eigenfunctions.

Analyzes the asymptotical behaviors of heat kernels on self-similar sets.

Designed for readers with a background in advanced analysis and general topology.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
21 August 2008
Listed Since
13 November 2007

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