Fractal Geometry 2e

by Kenneth Falconer

Since its original publication in 1990, Kenneth Falconer's Fractal Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and updated. It features much new material, many additional exercises, notes and references, and an extended bibliography that reflects the development of the subject since the first edition.
* Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals.
* Each topic is carefully explained and illustrated by examples and figures.
* Includes all necessary mathematical background material.
* Includes notes and references to enable the reader to pursue individual topics.
* Features a wide selection of exercises, enabling the reader to develop their understanding of the theory.
* Supported by a Web site featuring solutions to exercises, and additional material for students and lecturers.
Fractal Mathematical Foundations and Applications is aimed at undergraduate and graduate students studying courses in fractal geometry. The book also provides an excellent source of reference for researchers who encounter fractals in mathematics, physics, engineering, and the applied sciences.
Also by Kenneth Falconer and available from
Techniques in Fractal Geometry
ISBN 0-471-95724-0

Please click here to download solutions to exercises found within this

Genres: Mathematics, Science, Geometry

368 pages, Paperback

First published March 30, 1990

Reviews

[Paige McLoughlin]

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]

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

[Paige McLoughlin]

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.