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 ...
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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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Add this copy of The Geometry of Fractal Sets (Cambridge Tracts in to cart. $16.47, good condition, Sold by Jenson Books Inc rated 4.0 out of 5 stars, ships from Logan, UT, UNITED STATES, published 1986 by Cambridge University Press.
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This item shows signs of wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact, but may have aesthetic issues such as tears, bends, scratches, and scuffs. Spine may also show signs of wear. Pages may include some notes and highlighting. May include "From the library of" labels. Satisfaction Guaranteed. The dust cover may be missing if applicable.
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Very Good in No d/j as Published jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to inside front cover. Crease to top right corner of front cover.
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New. Trade paperback (US). Contains: Unspecified. Cambridge Tracts in Mathematics . Includes unspecified. Intended for professional and scholarly audience.
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