Implementing Mathematics with The Nuprl Proof Development System
by R. L. Constable, at al.
Publisher: Prentice Hall 1986
The authors offer a tutorial on the new mathematical ideas which underlie their research. In doing so they have tried to provide several entry points into the material, even at the cost of considerable redundancy. Many of the ideas will be accessible to a well-trained undergraduate with a good background in mathematics and computer science.
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The purpose of this book is to show how the computer can draw technically perfect pictures of Julia and Mandelbrot sets. All the necessary theory is explained and some words are said about how to put the things into a computer program.
by Richard D. Jenks, Robert S. Sutor - axiom-developer.org
Axiom is a free general purpose computer algebra system. The book gives a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms developed by the symbolic computation community, and presents advanced techniques.
The aim of this text is to develop an informal, light introduction to the world of fractal geometry and to inspire further research into the subject, whether your interest is of a pure, applied or even recreational nature.
by Julien C. Sprott - M & T Books
Chaos and fractals have revolutionized our view of the world. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns.