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portada The Geometry of Fractal Sets Paperback (Cambridge Tracts in Mathematics)
Type
Physical Book
Year
1986
Language
English
Pages
180
Format
Paperback
Dimensions
22.8x15.4x1.1 cm
Weight
0.28 kg.
ISBN
0521337054
ISBN13
9780521337052

The Geometry of Fractal Sets Paperback (Cambridge Tracts in Mathematics)

K. J. Falconer (Author) · Cambridge University Press · Paperback

The Geometry of Fractal Sets Paperback (Cambridge Tracts in Mathematics) - Falconer, K. J.

New Book Imported to South Africa
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R 1,517
R 1,517

Synopsis "The Geometry of Fractal Sets Paperback (Cambridge Tracts in Mathematics) "

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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