Fractal functions, fractal surfaces, and wavelets / Peter R. Massopust.
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TextPublication details: Amsterdam : Elsevier/AP, ©2016.Edition: Second editionDescription: xix, 405 pages : illustrations ; 24 cmISBN: - 9780128044087
- 514.742 23 M421
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.742 M421 (Browse shelf(Opens below)) | Available | 137980 |
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| 514.742 K58 Tale of two fractals / | 514.742 M271 Multifractals and 1/f noise | 514.742 M271 Gaussian self-affinity and fractals | 514.742 M421 Fractal functions, fractal surfaces, and wavelets / | 514.742 Se472 Some novel types of fractal geometry | 514.742 St916 Differential equations on fractals | 514.7420285 B826 Computability of Julia sets |
Includes bibliographical references and index.
Part I. Foundations.
1. Mathematical Preliminaries --
2. Construction of Fractal Sets --
3. Dimension Theory --
4. Dynamical Systems and Dimension --
Part II. Fractal Functions and Fractal Surfaces.
5. Construction of Fractal Functions --
6. Fractels and Self-Referential Functions --
7. Dimension of Fractal Functions --
8. Fractal Functions and Wavelets --
9. Fractal Surfaces --
10. Fractal Surfaces and Wavelets in Rn.
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.
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