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Geometry of Sets and Measures in Euclidean Spaces
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Geometry of Sets and Measures in Euclidean Spaces Hardcover - 1995

by Pertti Mattila


From the publisher

The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type objects, such as strange attractors for dynamical systems, and those fractals used as models in the sciences. The author provides a firm and unified foundation for the subject and develops all the main tools used in its study, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Besicovitch-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of Euclidean space possessing many of the properties of smooth surfaces.

Details

  • Title Geometry of Sets and Measures in Euclidean Spaces
  • Author Pertti Mattila
  • Binding Hardcover
  • Pages 355
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 1995-04
  • ISBN 9780521465762 / 0521465761
  • Weight 1.3 lbs (0.59 kg)
  • Dimensions 9.24 x 6.27 x 0.97 in (23.47 x 15.93 x 2.46 cm)
  • Library of Congress subjects Geometric measure theory
  • Library of Congress Catalog Number 94028956
  • Dewey Decimal Code 516