THE GEOMETRY OF FRACTAL SETS

Hardback in Very Good+ condition with Very Good dust jacket. . 8vo 8" - 9" tall. 162 pages. Light rubbing and wear to dust jacket edges. Cambridge Tracts in Mathematics 85. . * Quick Shipping * All Books Mailed in Boxes * Free Tracking Provided *

From Publisher:

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.

Product Info

ISBN: 0521256941

ISBN-13: 9780521256940

Publisher: Cambridge University Press

Year: 1985

Type: Used

Binding: Hardcover

Seller Info

EastonsBooksInc

Address: 701 South First Street Mount Vernon, Washington

Website: https://www.eastonsbooks.com

Country: United States