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 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 Bhubaneswar Mishra - Courant Institute of Mathematical Sciences
The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra.
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 T. Nipkow, L.C. Paulson, M. Wenzel - Springer
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.