Classics on fractals
edited by Gerald A. Edgar.
Reading, Mass. : Addison-Wesley, Advanced book program, ©1993.
x, 366 págs., [4] págs. de láms. : ilustraciones (algunas col.) ; 24 cm.
Serie: Studies in nonlinearity
ISBN: 0201587017
Algunos artículos han sido traducidos del alemán, francés o ruso.
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 2005f:28002
Contenido
- On continuous functions of a real argument that do not have a well-defined differential quotient / Karl Weierstrass
- On the power of perfect sets of points / Georg Cantor
- On a continuous curve without tangents constructible from elementary geometry / Helge von Koch
- On the linear measure of point sets : a generalization of the concept of length / Constantin Carathéodory
- Dimension and outer measure / Felix Hausdorff
- General spaces and Cartesian spaces / Karl Menger
- Improper sets and dimension numbers (excerpt) / Georges Bouligand
- On a metric property of dimension / L. Pontrjagin and L. Schnirelmann
- On the sum of digits of real numbers represented in the dyadic system / A. S. Besicovitch
- On rational approximation to real numbers / A. S. Besicovitch
- On dimensional numbers of some continuous curves / A. S. Besicovitch and H. D. Ursell
- Plane or space curves and surfaces consisting of parts similar to the whole / Paul Lévy
- Additive functions of intervals and Hausdorff measure / P. A. P. Moran
- The dimension of Cartesian product sets / J. M. Marstrand
- On the complementary intervals of a linear closed set of zero Lebesgue measure / A. S. Besicovitch and S. J. Taylor
- On some curves defined by functional equations / Georges de Rham
- $\epsilon$-entropy and $\epsilon$-capacity of sets in functional spaces (excerpt) / A. N. Kolmogorov and V. M. Tihomirov
- A simple example of a function, which is everywhere continuous and nowhere differentiable / Karl Kiesswetter
- How long is the coast of Britain? Statistical self-similarity and fractional dimension / Benoit Mandelbrot [Science 156 (1967), no. 3775, 636-638].
