Isabelle/HOL: A Proof Assistant for Higher-Order Logic
by T. Nipkow, L.C. Paulson, M. Wenzel
Publisher: Springer 2010
Number of pages: 223
This book is a self-contained introduction to interactive proof in higher-order logic (HOL), using the proof assistant Isabelle. It is a tutorial for potential users rather than a monograph for researchers. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
Download or read it online for free here:
by S. Basu, R. Pollack, M. Roy - Springer
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
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 Edward A. Bender, S. Gill Williamson - Dover Publications
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
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.