Classics On Fractals

Introduction -- J.D.MEMORY -- Blake and Fractals -- 1 KARL WEIERSTRASS -- On Continuous Functions of a Real Argument that do not have a Well-Defined Differential Quotient -- 2 GEORG CANTOR -- On the Power of Perfect Sets of Points -- 3 HELGE VON KOCH -- On a Continuous Curve without Tangent Constructible -- 4 CONSTANTIN CARAMODORY -- On the linear Measure of Point Sets-a Generalization of the Concept of Length -- 5 FEUX HAUSDORFF -- Dimension and Outer Measure -- 6 KARL MENGER -- General Spaces and Cartesian Spaces -- 7 GEORGES BOUUGAND -- Improper Sets and Dimension Numbers (excerpt) -- 8 L. PONTRJAGIN AND L. SCHNIRELMANN -- On a Metric Property of Dimension -- 9 A. S. BESICOVITCH -- On the Sum of Digits of Real Numbers Represented in the Dyadic System (1934) -- 10 A. S. BESICOVITCH -- On Rational Approximations to Real Numbers (1934) -- 11 A. S. BESICOVITCHANDH. D. URSELL -- On Dimensional Numbers of Some Continuous Curves (1937) -- 12 PAULLM -- Plane or Space Curves and Surfaces Consisting of Parts Similar to the Whole -- 13 P. A. P. MORAN -- Additive Functions of Intervals and Hausdorff Measure (1946) -- 14 J. M. MARSTRAND -- The Dimension of Cartesian Product Sets (1954) -- 15 A.S. BESICOVITCHANDS.J. TAYLOR -- On the Complementary Intervals of a Linear Gosed Set of Zero Lebesgue Measure (1954) -- 16 GEORGES DE RHAM -- On Some Curves Defined by Functional Equations -- 17 A. N. KOLMOGOROV AND V. M. TIHOMIROV -- e-Entropy and e-Capacity of Sets in Functional Spaces (exerpt) -- 18 KARL KIESSWETTER -- A Simple Example of a Function which is Everywhere Continuous and Nowhere Differentiable -- 19 BENOIT MANDELBROT -- How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension (1967) â" Index -- Permissions and Acknowledgments.