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

by Pertti Mattila , Bela Bollobas , W. Fulton
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Current price ₹6,381.00
Original price ₹9,816.00
Original price ₹9,816.00
Original price ₹9,816.00
(-35%)
₹6,381.00
Current price ₹6,381.00

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Book cover type: Paperback
  • ISBN13: 9780521655958
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 356
  • Original Price: GBP 79.0
  • Language: English
  • Edition: Revised Edition
  • Item Weight: 545 grams
  • BISAC Subject(s): Set Theory

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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