Fractal Functions, Fractal Surfaces, and Wavelets [Hardcover]

Peter R. Massopust (Author)

Book Description

Publication Date: January 18, 1995 | ISBN-10: 0124788408 | ISBN-13: 978-0124788404 | Edition: 1

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

Editorial Reviews

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.

Product Details

• Hardcover: 383 pages
• Publisher: Academic Press; 1 edition (January 18, 1995)
• Language: English
• ISBN-10: 0124788408
• ISBN-13: 978-0124788404
• Product Dimensions: 9.3 x 6.3 x 0.9 inches
• Shipping Weight: 1.7 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,258,364 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

2 of 4 people found the following review helpful:

4.0 out of 5 stars A good book but for specialist, June 25, 2000

By 

Massimiliano Celaschi (Graffignano, Viterbo Italy) - See all my reviews

This review is from: Fractal Functions, Fractal Surfaces, and Wavelets (Hardcover)

The book provides a lot of material but it left me the impression of a core material hidden in "a bit too many" technicalities, being the textbook more likely suitable as a reference for a specialist (I am not) than for a reader interested in the subject. I really appreciated the chapter "Fractal Functions and Wavelets", a good description of links beetween wavelets and fractals.