Analysis on Fractals
By (author) Jun Kigami
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Analysis on Fractals by Jun Kigami
Book DescriptionThis 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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Book DetailsISBN: 9780521057110
(229mm x 152mm x 14mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 1-Mar-2008
Country of Publication: United Kingdom
Books By Author Jun Kigami
Analysis on Fractals, Hardback (June 2001)» View all books by Jun Kigami
Self-contained introduction to analysis on fractals, a developing area of mathematics, for graduates and researchers.
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