Steeb, Willi-Hans; Lewien, Dirk 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) Cited in 1 Document 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 Keywords:algebraic language REDUCE Software:REDUCE PDFBibTeX XMLCite \textit{W.-H. Steeb} and \textit{D. Lewien}, Algorithms and computation with Reduce. Mannheim etc.: BI-Wissenschaftsverlag (1992; Zbl 0758.68039)