Abstract
Preface. About This Book. Part 1: Paradigms of Programming. Introduction. Logic Programming. Higher-Order Functions. Combinators. Turing Machines. Part 2: Visualization. Animated Algorithms. Function Iteration and Chaos. Fractional Brownian Motion. Uniform Polyhedra. The Stellated Icosahedra. Ray Tracing. Single-Image Stereograms. Appendixes. References. Index of Programs. Index. Preface. About This Book: Overview. About the Programs. Notation and Terminology. The Mathematica Programmer CD-ROM. The Mathematica Programmer WWW Archive. Colophon.Part 1: Paradigms of Programming: Introduction: Mathematica's Programming Language. Pattern Matching and Term Rewriting. Programming Styles. Program Organization. Logic Programming: The Ingredients of Logic Programs. A PROLOG Interpreter for Mathematica. Lists in PROLOG. Backtracking. Deduction. Higher-Order Functions: Introduction. The Functional Features of Mathematica. Functions as Data. Fixed Points of Higher-Order Functions. Combinators: Introduction. Combinatory Algebras. Combinatory Abstraction. Converting Functions to Combinators. Applications. Turing Machines: Introduction. A Turing Machine Simulator. Assembly Programming. Recursive Functions. Optimization. Conclusions. The Complete Code of TuringMacros.m. Part 2: Visualization: Animated Algorithms: Three Standard Sorting Algorithms. Asymptotic Behavior. Conclusions. Function Iteration and Chaos: Function Iteration. Bifurcations. The Final-State Diagram. The Ingredients of Chaos. Super-Attractive Orbits. Conclusions. Fractional Brownian Motion: Introduction. Random Additions. Fourier Synthesis. Random Faults. Analysis of fBm Data. Uniform Polyhedra: Introduction. Uniform Construction. Data Structures. Rendering. Auxiliary Programs. The Stellated Icosahedra: Introduction. Rendering. Discussion. The Complete Code of Icosahedra.m. Ray Tracing: A Data Type for Surfaces. Photorealistic Rendering. Converting Mathematica Graphics. Sample Images. Stereo Pairs. The Complete Code of POVray.m. Single-Image Stereograms: Introduction. The Classis SIRDS in Mathematica. Designing Good Images. Exact Stereograms. Interface to External SIS Generators. The Complete Code of SIS.m. Appendixes. References. Index of Programs. Index.
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