Fractal Functions, Fractal Surfaces, and Wavelets - Softcover

Massopust, Peter R.

9781493301546: Fractal Functions, Fractal Surfaces, and Wavelets

Softcover

ISBN 10: 1493301543 ISBN 13: 9781493301546

Publisher: Academic Press, 2014

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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

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Review

"Massopust provides the basic theory and results from manipulating fractal functions and surfaces, and discusses future directions and applications to wavelet theory and fractal dynamics...Recommended."
--D.E. Bentil, University of Massachusetts at Amherst

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.|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.