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

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

Mattila, Pertti
Bollobas, Bela
Fulton, W.

Paperback

Series: Cambridge Studies in Advanced Mathematics, Book 44

General MathematicsGeometry

ISBN10: 0521655951
ISBN13: 9780521655958
Publisher: Cambridge University Press
Published: Feb 25 1999
Pages: 356
Weight: 1.20
Height: 0.90 Width: 6.00 Depth: 8.90
Language: English
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.

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