The Fractal Geometry of Nature. B. Mandelbrot.
`How Long is the Coast of Britain?'
An Introduction to Probability Theory, vol. 1. W. Feller.
Chapter III. Fluctuations in Coin Tossing and Random Walks.
B. Bollobas (ed.) `The dilemma of probability theory'.
Random Walks and Electrical Networks.
P. G. Doyle and J. L. Snell.
pp. 1-27, 119-126.
Markov Processes. Dynkin and Yuskevich.
From random walks to Brownian motion.
The Art of Computer Programming. Vol. 2. D. Knuth.
Chapter 3: Random numbers.
pp. 1-37, 149-177.
Universality in Chaos. P. Cvitanovic (editor).
Articles by May and Feigenbaum.
Chaotic behavior in the solar system.
S. Marmi, Sem. Bourbaki 854.
Asterisque vol. 266 (2000), pp. 113-136.
Dynamics in One Complex Variable. J. Milnor.
The Enjoyment of Mathematics. H. Rademacher and O. Toeplitz.
A minimal property of the pedal triangle.
Billiards. S. Tabachnikov. Billiards in Polygons.
The Theory of Numbers. G. H. Hardy and E. M. Wright.
Indra's Pearls D. Mumford, C. Series and D. Wright.
Three-Dimensional Geometry and Topology. W. P. Thurston.
The Knot Book. C. Adams.
pp. 1-27, 147-156.
Winning Ways, vol. 2. E. Berlekamp, R. Guy, J. Conway.
Chapter 25: What is Life?
Non-Euclidean geometry, continued fractions, and ergodic theory.
C. Series, Math. Intelligencer 4 (1982), 24-31.
Pappus' theorem and the modular group.
R. Schwartz, IHES Publ. Math. 78(1993), 187--206.
Arts and Literature
Chaos and Order. N. K. Hayles.
Complex dynamics in literature and science.
Labyrinths. J. L. Borges.
`The Garden of Forking Paths',
`Avatars of the Tortoise',
`A New Refutation of Time'.
pp. 19-29, 202-209, 217-236.
Lola Rennt. Directed by Tom Tykwer.
The sensitive nature of the future.
Memento. Directed by Christopher Nolan.
The sensitive nature of the past.
Not Knot. Produced by the Minnesota Geometry Center.
A trip to hyperbolic space.
Measure, Topology and Fractal Geometry. G. A. Edgar.
Chaos and Fractals. H.-O. Peitgen, H. Juergens, D. Saupe.
I. P. Cornfeld, S. V. Fomin and Ya. G. Sinai.
The Geometry of Discrete Groups. A. Beardon.
Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces.
T. Bedford, M. Keane, C. Series (eds.)
The Higher Arithmetic.
H. Davenport. Chapter IV, Continued Fractions, 78-114.
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