Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust's work on and contributions to the theory of fractal interpolation, and the author uses a number of tools--including analysis, topology, algebra, and probability theory--to introduce readers to this exciting subject.

Though much of the material presented in this book is relatively current (developed...