Fractal Geometry: Mathematical Foundations and Applications

by Kenneth Falconer

"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"--

Genres: Mathematics, Science, Geometry

400 pages, Hardcover

First published March 30, 1990

Reviews

[Paige McLoughlin · Rating 4 out of 5]

very compressed treatment of the topic though it covers the main points and too much emphasis on mathematical rigor for my tastes but workable.

[Milan · Rating 4 out of 5]

A good undergraduate/graduate textbook for anyone interested in fractal analysis.

[Paige McLoughlin · Rating 4 out of 5]

A little more rigor than I need, but it covers most of the topics of larger volumes. This book is definitely a more mathematical treatment, but it has applications in later chapters and covers most of the sweep, including dynamical systems and power spectra regarding Brownian noise and random fractals. Also has the famous logistic equation, with period-doubling for certain values and the onset of chaos. It covers most of the stuff for mathematicians with definitions and proofs.