Computer algebra handbook
REDUCE is free software as of January 2009
ACM Communications in Computer Algebra
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From the Publisher:There are several general purpose mathematics packages available to physicists, including Mathematica, Maple, and REDUCE. Each has advantages and disadvantages, but REDUCE has been found to be both powerful and convenient in solving a wide range of problems. This book introduces the reader to REDUCE and demonstrates its utility as a mathematical tool in high-energy physics. All example programs from the book can be downloaded via Internet. The emphasis throughout is on learning through worked examples. This will be an essential introduction and reference for high energy and theoretical physicists.