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Algorithms and computation with Reduce. (English) Zbl 0758.68039

Mannheim etc.: BI-Wissenschaftsverlag. VIII, 153 p. (1992).
The book is a collection of 75 case studies of symbolic computation from various fields of mathematics, physics, and engineering including arithmetic, differential equations, matrix algebra, special functions, transformations, expansions etc. Each topic is composed of one page describing the theoretical background and one page with the corresponding algebraic program, in most cases in the range of ten to twenty statements. The book can serve as general introduction to application oriented symbolic programming and as source for ready to use solutions. The book presents all algorithms in the algebraic language REDUCE using a rather elementary level programming style such that the programs are readable even without previous knowledge of this language.
Reviewer: H.Melenk (Berlin)

MSC:

68W30 Symbolic computation and algebraic computation
12Y05 Computational aspects of field theory and polynomials (MSC2010)
13P99 Computational aspects and applications of commutative rings
15A99 Basic linear algebra
16Z05 Computational aspects of associative rings (general theory)
17-08 Computational methods for problems pertaining to nonassociative rings and algebras

Software:

REDUCE
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