Call Boomerang Books 1300 36 33 32

Description - The Geometry of Fractal Sets by Kenneth J. Falconer

This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.

Buy The Geometry of Fractal Sets by Kenneth J. Falconer from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521337052
ISBN-10: 0521337054
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 180
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Jul-1986
Country of Publication: United Kingdom

Other Editions - The Geometry of Fractal Sets by Kenneth J. Falconer

Book Reviews - The Geometry of Fractal Sets by Kenneth J. Falconer

» Have you read this book? We'd like to know what you think about it - write a review about Geometry of Fractal Sets book by Kenneth J. Falconer and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review

Books By Kenneth J. Falconer

Fractals: A Very Short Introduction by Kenneth J. Falconer
Paperback, September 2013
Techniques in Fractal Geometry by Kenneth J. Falconer
Hardback, March 1997