Computer algebra: symbolic and algebraic computation

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Bruno Buchberger, George Edwin Collins, Rüdiger Loos
Springer-Verlag, 1982 - Computers - 283 pages
Introduction. Algebraic Simplification. Computing with Groups and Their Character Tables. Integration in Finite Terms.Summation in Finite Terms. Quantifer Elimination for Real Closed Fields: A guide to the Literature. Real Zeros of Polynomials. Factorization of Polynomials. Generalized Polynomial Remainder Sequences. Computing by Homomorphic Images. Computing in Transcedental Extensions. Computing in Algebraic Extensions. Arithmetic in Basic Algebraic Domains.Computer Algebra Sustems.Computer Algebra Applications. Some Useful Bounds. Author and Subject Index.

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Algebraic Simplification
Computing with Groups and Their Character Tables

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