Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Geometry of Fractal Sets

The Geometry of Fractal Sets

Falconer, Kenneth
Falconer, K. J.
K. J., Falconer

Paperback

Series: Cambridge Tracts in Mathematics, Book 85

General MathematicsGeometryProbability & Statistics

ISBN10: 0521337054
ISBN13: 9780521337052
Publisher: Cambridge University Press
Published: Jul 24 1986
Pages: 180
Weight: 0.61
Height: 0.45 Width: 6.08 Depth: 8.98
Language: English
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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