The Geometry of Fractal Sets

, by
The Geometry of Fractal Sets by Falconer, Kenneth J., 9780521337052
Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
  • ISBN: 9780521337052 | 0521337054
  • Cover: Paperback
  • Copyright: 10/1/1986

  • Rent

    (Recommended)

    $47.69
     
    Term
    Due
    Price
    *This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping bag.
  • Buy New

    Special Order: 1-2 Weeks

    $64.28
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.
Loading Icon

Please wait while the item is added to your bag...
Continue Shopping Button
Checkout Button
Loading Icon
Continue Shopping Button