Fractal Functions, Fractal Surfaces, and Wavelets - Hardcover

Massopust, Peter R.

Hardcover

ISBN 10: 0124788408 ISBN 13: 9780124788404

Publisher: Academic Press, 1995

Synopsis

Fractal Functions, Fractal Surfaces, and Wavelets is the first systematic exposition of the theory of fractal surfaces, a natural outgrowth of fractal sets and fractal functions. It is also the first treatment to bring these general considerations to bear on the burgeoning field of wavelets. The text is based on Massopusts work on and contributions to the theory of fractal functions, and the author uses a number of tools--including analysis, topology, algebra, and probability theory--to introduce readers to this new subject. Though much of the material presented in this book is relatively current (developed in the past decade by the author and his colleagues) and fairly specialized, an informative background is provided for those

• First systematic treatment of fractal surfaces
• Links fractals and wavelets
• Provides background for those entering the field
• Contains color insert

About this title

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.

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.

Edition details

• Publisher: Academic Press
• Publication date: 1995
• ISBN 10: 0124788408
• ISBN 13: 9780124788404
• Binding: Hardcover
• Language: English
• Number of pages: 383