Classics on fractals / Edited by Gerald A. Edgar
- 366 p.
- Studies in nonlinearity .
On continuous function of a real argument that do not have a well-defined differential quotient / Karl Weierstrass -- On the powe of perfect sets of points / Georg Cantor -- On a continuous curve without tangent 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 -- On the sum of digits of real numbers represented in the dyadic system / A. S. Besicovitch -- On a rational approximations to real numbers / A. S. Besicovitch -- On dimensional numbers of some continuous curves / A. S. Besicovitch -- Plane or space curves and surfaces consisting of parts similar to the wole / 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 -- On some curves defined by functional equations / George de Rham -- A simple example of a function which is everywhere continuous and nowhere differentiable / Karl Kiesswetter -- How long in the coast of Britain? Statical self-similarity and fractional dimension / Benoit Mandelbrot
0-201-58701-7
Fractales
Matematicas
514.74 / C584c
On continuous function of a real argument that do not have a well-defined differential quotient / Karl Weierstrass -- On the powe of perfect sets of points / Georg Cantor -- On a continuous curve without tangent 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 -- On the sum of digits of real numbers represented in the dyadic system / A. S. Besicovitch -- On a rational approximations to real numbers / A. S. Besicovitch -- On dimensional numbers of some continuous curves / A. S. Besicovitch -- Plane or space curves and surfaces consisting of parts similar to the wole / 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 -- On some curves defined by functional equations / George de Rham -- A simple example of a function which is everywhere continuous and nowhere differentiable / Karl Kiesswetter -- How long in the coast of Britain? Statical self-similarity and fractional dimension / Benoit Mandelbrot
0-201-58701-7
Fractales
Matematicas
514.74 / C584c