Fractal geometry : mathematical foundations and applications / Kenneth Falconer.
Material type:
TextPublication details: Chichester : John Wiley, c2014.Edition: 3rd edDescription: xxx, 368 p. ; illISBN: - 9781119942399 (hardback)
- 514.742 23 F182
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.742 F182 (Browse shelf(Opens below)) | Available | 135491 |
Browsing ISI Library, Kolkata shelves Close shelf browser (Hides shelf browser)
| 514.742 Ed23 Integral, probability, and fractal measures | 514.742 F177 Fractal geometry: matematical foundations and applications/ | 514.742 F182 Techniques in fractal geometry | 514.742 F182 Fractal geometry : | 514.742 K47 Analysis of fractals | 514.742 K58 Tale of two fractals / | 514.742 M271 Multifractals and 1/f noise |
Includes bibliographical references and index.
Part I Foundations
1. Mathematicl background--
2. Box-counting dimension--
3. Hausdorff and packing measures and dimensions--
4. Techniques for calculating dimensions--
5. Local structure of fractals--
6. Projections of fractals--
7. Products of fractals--
8. Intersections of fractals--
Part II Applications and examples
9. Iterated function systems-self -similar and self-affine sets--
10. Examples from number theory--
11. Graphs of functions--
12. Examples from pure mathematics--
13. Dynamical systems--
14. Iteration of complex functions-Julia sets and the Mandelbrot set--
15. Random fractals--
16. Brownian motion and Brownian surfaces--
17. Multifractal measures--
18. Physical applications--
References--
Index.
"This comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics majors, while also serving as a reference for research mathematicians or scientists. This up-to-date edition covers introductory multifractal theory, random fractals, and modern applications in finance and science. New research developments are highlighted, such as porosity, while covering other much more sophisticated topics, such as fractal aspects of conformal invariance, complex dimensions, and non-commutative fractal geometry. The book emphasizes dimension in its various forms, but other notions of fractality are also prominent"--
"This comprehensive, accessible and very popular textbook presents fractal geometry at a level accessible to a final year undergraduate mathematician or physicist whilst also providing a useful primer or reference for the research mathematician or scientist"--
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