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A New Kind of Science -- Programs from the Notes

Stephen Wolfram
Organization: Wolfram Research, Inc.
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As a part of the book A New Kind of Science, there are 350 pages of careful notes containing many Mathematica programs. They are available at the site Explanations are given by Stephen Wolfram in the book itself. A companion product, A New Kind of Science Explorer, is also available.

*Applied Mathematics > Complex Systems
*Mathematics > Discrete Mathematics > Cellular Automata
*Mathematics > Foundations of Mathematics

Cellular Automata, Mobile Automata, Turing Machines, Substitution Systems, Fibonacci numbers, Tag Systems, Register Machines, Symbolic Systems, Gray code, Recursive Sequences, Ackermann functions, Primitive recursive functions, Continued fractions, Klein-Gordon equation, Field equations, Ulam systems, Sierpinski pattern, Penrose tilings, Space-filling curves, Network Systems, Multiway Systems, Constraints, Game of Life, Sarkovskii's theorem, Fractal dimensions, Attractors, Random number generators, Random walks, Isotropy, Ising model, Causal Networks, Gravity, Data Compression, Huffman coding, Walsh transforms, Hadamard matrices, Fourier transforms, LFSR cryptanalysis, The Principle of Computational Equivalence, Computational Irreducibility, Peano arithmetic, Universality