This book contains a selection of classical mathematical papers related to fractal geometry. It is intended for the convenience of the student or scholar wishing to learn about fractal geometry.
Introduction
1. On Continuous Functions of a Real Argument that do not
have a Well-Defined Differential Quotient
2. On the Power of Perfect Sets of
Points
3. On a Continuous Curve without Tangent Constructible from Elementary
Geometry
4. On the linear Measure of Point Setsa Generalization
5. Dimension
and Outer Measure
6. General Spaces and Cartesian Spaces
7. Improper Sets and
Dimension Numbers (excerpt)
8. On a Metric Property of Dimension
9. On the
Sum of Digits of Real Numbers Represented in the Dyadic System (1934)
10. On
Rational Approximations to Real Numbers (1934)
11. On Dimensional Numbers of
Some Continuous Curves (1937)
12. Plane or Space Curves and Surfaces
Consisting of Parts Similar to the Whole
13. Additive Functions of Intervals
and Hausdorff Measure (1946)
14. The Dimension of Cartesian Product Sets
(1954)
15. On the Complementary Intervals of a Linear Closed Set of Zero
Lebesgue Measure (1954)
16. On Some Curves Defined by Functional Equations
(1957)
17. e-Entropy and e-Capacity of Sets in Functional Spaces (excerpt)
18. A Simple Example of a Function which is Everywhere Continuous and Nowhere
Differentiable
19. How Long is the Coast of Britain? Statistical
Self-Similarity and Fractional Dimension (1967)
