Mathematics for Algorithm and Systems Analysis
by Edward A. Bender, S. Gill Williamson
Publisher: Dover Publications 2005
Number of pages: 256
Discrete mathematics is an essential tool in many areas of computer science. Problems in discrete mathematics arise in programming languages, computer architecture, networking, distributed systems, database systems, AI, theoretical computer science, and other areas. This up-to-date text assists undergraduates in mastering the ideas and mathematical language to address problems that arise in the field's many applications. It consists of 4 units of study: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
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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.
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.
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The results of cache-simulation experiments with an abstract machine for reducing combinator graphs are presented. The abstract machine, called TIGRE, exhibits reduction rates that compare favorably with previously reported techniques.