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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by Gareth J. Janacek, Mark L. Close - BookBoon
In this textbook you will find the basic mathematics needed by computer scientists. It should help you to understand the meaning of mathematical concepts. Subjects as elementary logic, factorization, plotting functions and matrices are explained.
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 Leonard Soicher, Franco Vivaldi - Queen Mary University of London
This text is a course in mathematical algorithms, intended for second year mathematics students. It introduces the algorithms for computing with integers, polynomials and vector spaces. The course requires no computing experience.
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.