Bulletin of the American Mathematical Society

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Book Information

Author(s): Pertti Mattila
Title: Geometry of sets and measures in Euclidean spaces
Additional book information: Cambridge Studies in Advanced Mathematics, vol. 44, Cambridge University Press, 1995, x+343, $49.95, ISBN 0-521-46576-1

1.: M. Barnsley, Fractals Everywhere, Academic Press, 1988. MR 90e:58080
2.: L. Carleson, Selected Problems on Exceptional Sets, van Nostrand, 1967. MR 37:1576
3.: G.A. Edgar, Measure, Topology, and Fractal Geometry, Springer, 1990. MR 92a:54001
4.: K.J. Falconer, The Geometry of Fractal Sets, Cambridge University Press, 1985. MR 88d:28001
5.: K.J. Falconer, Fractal Geometry: Mathematical Foundations and Applications, Wiley, 1990. MR 92j:28008
6.: H. Federer, Geometric Measure Theory, Springer, 1969, reprinted 1996. MR 41:1976
7.: H. Federer, Colloquium lectures in geometric measure theory, Bull. Amer. Math. Soc. 84 (1978), 291-338. MR 57:7330
8.: R.M. Hardt, Singularities of harmonic maps, Bull. Amer. Math. Soc. 34 (1997), 15-34. MR 1:397098
9.: J. Kigami and M.L. Lapidus, Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar sets, Commun. Math. Phys. 158 (1993), 93-125. MR 94m:58225
10.: B.B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, 1982. MR 84h:00021
11.: P. Mattila, Lecture Notes on Geometric Measure Theory, Universidad de Extremadura, 1986. MR 89e:49037
12.: P. Mattila, M.S. Melnikov and J. Verdera, The Cauchy integral, analytic capacity, and uniform rectifiability, Ann. of Math. 144 (1996), 127-136. MR 1:405945
13.: F. Morgan, Geometric Measure Theory, A Beginner's Guide, Academic Press, 1988. MR 89f:49036
14.: D. Mumford (Reviewer), Variational methods in image segmentation by Jean-Michel Morel and Sergio Solimini, Bull. Amer. Math. Soc. 33 (1996), 211-216.
15.: D. Preiss, Geometry of measures in $\mathbb {R}^n$ : distribution, rectifiability, and densities, Ann. of Math. 125 (1987), 537-643. MR 88d:28008
16.: C.A. Rogers, Hausdorff measures, Cambridge University Press, 1970. MR 43:7576
17.: L. Simon, Lectures on Geometric Measure Theory, Proceedings of the Centre for Mathematical Analysis, Australian National University, 3, 1983. MR 87a:49001
18.: S.J. Taylor, The measure theory of random fractals, Math. Proc. Cambridge Phil. Soc. 100 (1986), 383-406. MR 87k:60189

Reviewer(s):
Christoph Bandt
Affiliation: Arndt-Universität Greifswald
Email: bandt@uni-greifswald.de

MSC (1991): Primary 28-02; Secondary 28A75, 26B15, 30C85, 42B20, 49Q15
DOI: 10.1090/S0273-0979-97-00725-8
PII: S 0273-0979(97)00725-8
Copyright of article: Copyright 1997, American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS