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Geometry of sets and measures in Euc...

Mattila, Pertti.

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Geometry of sets and measures in Euclidean spaces = fractals and rectifiability /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometry of sets and measures in Euclidean spaces/ Pertti Mattila.
Reminder of title:	fractals and rectifiability /
remainder title:	Geometry of Sets & Measures in Euclidean Spaces
Author:	Mattila, Pertti.
Published:	Cambridge :Cambridge University Press, : 1995.,
Description:	xii, 343 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Geometric measure theory. -
Online resource:	https://doi.org/10.1017/CBO9780511623813
ISBN:	9780511623813

Geometry of sets and measures in Euclidean spaces = fractals and rectifiability /
Mattila, Pertti.

Geometry of sets and measures in Euclidean spacesfractals and rectifiability /[electronic resource] :Geometry of Sets & Measures in Euclidean SpacesPertti Mattila. - Cambridge :Cambridge University Press,1995. - xii, 343 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;44. - Cambridge studies in advanced mathematics ;44..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Now in paperback, the main theme of this book is the study of 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 and develops all the necessary main tools, 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 Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.

ISBN: 9780511623813Subjects--Topical Terms:

522210
Geometric measure theory.

LC Class. No.: QA312 / .M37 1995

Dewey Class. No.: 515.42

Geometry of sets and measures in Euclidean spaces = fractals and rectifiability /
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020 $a 9780521465762 $q (hardback)
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050 4 $a QA312 $b .M37 1995
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100 1 $a Mattila, Pertti. $3 522209
245 1 0 $a Geometry of sets and measures in Euclidean spaces $h [electronic resource] : $b fractals and rectifiability / $c Pertti Mattila.
246 3 $a Geometry of Sets & Measures in Euclidean Spaces
260 $a Cambridge : $b Cambridge University Press, $c 1995.
300 $a xii, 343 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 44
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a Now in paperback, the main theme of this book is the study of 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 and develops all the necessary main tools, 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 Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.
650 0 $a Geometric measure theory. $3 522210
830 0 $a Cambridge studies in advanced mathematics ; $v 44. $3 3470566
856 4 0 $u https://doi.org/10.1017/CBO9780511623813