REDUCE is a simple computer algebra system which enables users to manipulate complex algebraic expressions and equations symbolically, as mathematicians and scientists do traditionally on paper. Its capabilities include differentiation and exact symbolic integration. This book provides a comprehensive introduction to REDUCE, including some of the user-contributed REDUCE packages written for specific applications. The authors' aim is to enable all students using REDUCE for the first time to gain a familiarity with the full range of REDUCE commands whilst at the same time learning something of its internal workings. Throughout, numerous exercises are provided to illustrate themes covered in the text as well as to encourage "hands on" practice.
REDUCE is a simple computer algebra system which enables users to manipulate complex algebraic expressions and equations symbolically, as mathematicians and scientists do traditionally on paper. Its capabilities include differentiation and exact symbolic integration. This book provides a comprehensive introduction to REDUCE, including some of the user-contributed REDUCE packages written for specific applications. The authors' aim is to enable all students using REDUCE for the first time to gain a familiarity with the full range of REDUCE commands whilst at the same time learning something of its internal workings. Throughout, numerous exercises are provided to illustrate themes covered in the text as well as to encourage "hands on" practice.
REDUCE as an algebraic calculator; Controlling REDUCE: operators and matrices; REDUCE as an algebraic programming language; Algebraic procedures, operators and algorithms; A look inside REDUCE; Programming in (R) Lisp; Factorization and integration in REDUCE; The user-contributed REDUCE packages; Advanced topics; Appendix.
`This book provides a comprehensive introduction to REDUCE.
'
L'Enseignement Mathématique, 1992
`This is a well-constructed complement to the REDUCE user's manual,
with a lot of background material as well as advanced examples ...
it will prove useful to all serious users of the REDUCE system.
'
Dr A.H. Harker, AEA, Harwell, Contemporary Physics, Volume 33,
Number 2, March/April 1992
`If REDUCE is the system that you're using, then this is an
excellent complement both to the system manual and to Gerald
Rayna's REDUCE: software for algebraic computation.
'
Times Higher Educational Supplement
`...one of the best introductions to REDUCE available....the
exercises included at the end of each chapter deserve special
mention and have to be considered as one of the most original
contributions of the book. They illustrate interesting applications
of computer algebra in mathematical physics ranging from standard
exercises oriented to develop skills using the package, to
non-trivial problems intended to stimulate reflection on the
particular point
involved.'
General Relativity and Gravitation, Vol. 27, No. 4, 1995
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