Mathematics of FractalsHardcover, 1 August 1997

This monograph discusses Mandelbrot's fractals using Hata's work on self-similarities. Included is a discussion by Yamaguchi on computing fractal functions in place of Newtonian differentiation with wavelet analysis. This joint work concludes with a development of fractal analysis. The book is intended for graduate students and research mathematicians interested in global analysis and analysis on manifolds.