Tale of two fractals / A.A. Kirillov.
Material type:
TextPublication details: New York : Springer, 2013.Description: xiii, 138 p. : illustrations (some color) ; 24 cmISBN: - 9780817683818
- 23 K58 514.742
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.742 K58 (Browse shelf(Opens below)) | Available | 135713 |
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| 514.742 F182 Techniques in fractal geometry | 514.742 F182 Fractal geometry : mathematical foundations and applications / | 514.742 K47 Analysis of fractals | 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 / |
Includes bibliographical references and index.
1. Definitions and general properties --
2. The Laplace operator on the Sierpiński gasket --
3. Harmonic functions on the Sierpiński gasket --
4. Circles and disks on spheres --
5. Definition of the Apollonian gasket --
6. Arithmetic properties of Apollonian gaskets --
7. Geometric and group-theoretic approach --
8. Multidimensional Apollonian gaskets--
Bibliography--
Index.
Written by the celebrated mathematician and educator A.A. Kirillov, this book offers an original treatment of fractals that is accessible to beginners and sufficiently rigorous for serious mathematicians. Offers a solid foundation in the theory of fractals.
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