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.
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 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 Victor Shoup - Cambridge University Press
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
by Joseph O'Rourke - Oxford University Press
Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas.