TY  - BOOK
AU  - Falconer,Kenneth
TI  - Fractal geometry: mathematical foundations and applications 
SN  - 9781119942399 (hardback)
U1  - 514.742 23
PY  - 2014///
CY  - Chichester
PB  - John Wiley
KW  - Fractals
KW  - Problems, exercises, etc
KW  - MATHEMATICS -- Topology.
KW  - MATHEMATICS / Transformations
N1  - 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
N2  - "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"--
ER  -