9780521337052-0521337054-The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85)

The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85)

ISBN-13: 9780521337052
ISBN-10: 0521337054
Author: Falconer, K. J.
Publication date: 1986
Publisher: Cambridge University Press
Format: Paperback 180 pages
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Book details

ISBN-13: 9780521337052
ISBN-10: 0521337054
Author: Falconer, K. J.
Publication date: 1986
Publisher: Cambridge University Press
Format: Paperback 180 pages

Summary

Acknowledged authors Falconer, K. J. wrote The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85) comprising 180 pages back in 1986. Textbook and eTextbook are published under ISBN 0521337054 and 9780521337052. Since then The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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