Analysis on fractals / Jun Kigami.

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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 bas...

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Bibliographic Details
Uniform Title:Cambridge tracts in mathematics ; 143.
Main Author: Kigami, Jun (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2001.
Series:Cambridge tracts in mathematics ; 143.
Subjects:
Fractals.
Mathematical analysis.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (viii, 226 pages) : digital, PDF file(s).
Format: Electronic eBook
Contents:
  • Geometry of self-similar sets
  • Analysis on limits of networks
  • Construction of laplacians on P.C.F. self similar structures
  • Eigenvalues and eigenfunctions of laplacians
  • Heat kernels.