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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability Paperback - 1999

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.

First line

In this chapter we shall introduce some general measure-theoretic concepts, terminology, and results which will be needed later on.

Details

  • Title Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
  • Author Pertti Mattila
  • Binding Paperback
  • Pages 356
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge, UK
  • Date 1999-02-25
  • ISBN 9780521655958 / 0521655951
  • Weight 1.2 lbs (0.54 kg)
  • Dimensions 8.9 x 6 x 0.9 in (22.61 x 15.24 x 2.29 cm)
  • Library of Congress Catalog Number QA312
  • Dewey Decimal Code 516
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies...
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies in Advanced Mathematics, Series Number 44)

by Mattila, Pertti

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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

by Pertti Mattila

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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

by Pertti Mattila

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Cambridge Univ Pr, 1999. Paperback. New. 343 pages. 9.50x6.25x1.00 inches.
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

by Pertti Mattila

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Paperback / softback. New. Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean space. Examples to which this theory applies include fractal-type objects such as strange attractors for dynamical systems, and those fractals used as models in the sciences.
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

by Pertti Mattila

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Cambridge Univ Pr, 1999. Paperback. New. 343 pages. 9.50x6.25x1.00 inches.
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Geometry of Sets and Measures in Euclidean Spaces : Fractals and Rectifiability
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Geometry of Sets and Measures in Euclidean Spaces : Fractals and Rectifiability

by Mattila, Pertti

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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies...
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies in Advanced Mathematics, Series Number 44)

by Mattila, Pertti

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Geometry of Sets & Measures Spaces (Cambridge Studies in Advanced Mathematics)
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Geometry of Sets & Measures Spaces (Cambridge Studies in Advanced Mathematics)

by Mattila

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