From the Back Cover:
Fractal surfaces are a natural outgrowth of fractal sets and fractal functions. Fractal Functions, Fractal Surfaces, and Wavelets provides the first systematic exposition of the theory and applications of fractal surfaces and their increasing significance in the burgeoning field of wavelets.
Massopust's extensive work on and contribution to the theory of fractal functions forms the basis of this book. The author introduces readers to the subject through a number of tools-analysis, topology, algebra, and probability theory-and employs lively full-color computer graphics to illustrate concepts and construction. He also provides an informative background to specialized material for those entering the field.
With its coherent and comprehensive presentation of the theory of fractal functions and surfaces, this text will appeal to mathematicians as well as to applied scientists in the fields of physics and computer science.
Key Features:
* First systematic treatment of fractal surfaces.
* Links fractals and wavelets.
* Provides background for those entering the field.
* Contains color insert.
About the Author:
Peter R. Massopust is a Privatdozent in the Center of Mathematics at the Technical University of Munich, Germany. He received his Ph.D. in Mathematics from the Georgia Institute of Technology in Atlanta, Georgia, USA, and his habilitation from the Technical University of Munich. He worked at several universities in the United States, at the Sandia National Laboratories in Albuquerque (USA), and as a senior research scientist in industry before returning to the academic environment. He has written more than sixty peer-reviewed articles in the mathematical areas of Fourier Analysis, Approximation Theory, Fractals, Splines, and Harmonic Analysis and more than 20 technical reports while working in the non-academic environment. He has authored or coauthored two textbooks and two monographs, and coedited two Contemporary Mathematics Volumes and several Special Issues for peer-reviewed journals. He is on the editorial board of several mathematics journals and has given more than one hundred invited presentations at national and international conferences, workshops, and seminars.
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