Axiom: The Scientific Computation System
by Richard D. Jenks, Robert S. Sutor
Publisher: axiom-developer.org 2003
Number of pages: 1200
Axiom is a free general purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed, mathematically correct type hierarchy. The primary philosophy is that Axiom needs to develop several fundamental features in order to be useful to the next generation of computational mathematicians. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques.
Home page url
Download or read it online for free here:
by Thomas Hales - arXiv
Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.
by Cameron Davidson-Pilon - GitHub, Inc.
This book is designed as an introduction to Bayesian inference from a computational understanding-first, and mathematics-second, point of view. The book assumes no prior knowledge of Bayesian inference nor probabilistic programming.
by Richard Liska, at al. - Czech Technical University
From the table of contents: Introduction; Algorithms for algebraic computation; Integrated mathematical systems; Basic possibilities of integrated mathematical systems; Applications of computer algebra; Another sources of study.
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.