Titlebook: Computer Algebra; Symbolic and Algebra Bruno Buchberger,George Edwin Collins,Rüdiger Loos Book 19821st edition Springer-Verlag Wien 1982 al

军火

Carl Erik Moe,Hallgeir Nilsen,Tore U. Ørvikers, integers modulo ., Gaussian integers, polynomials, rational functions, power series, finite fields and .-adic numbers. Bounds on the maximum, minimum and average computing time (.., .., .*) for the various algorithms are given.

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Koushik Maharatna,Silvio Bonfiglioiary arithmetic on rational intervals (Section 3). Finally, we present some auxiliary algebraic number algorithms used in other chapters of this volume (Section 7). This chapter does not include any special algorithms of algebraic number theory. For an introduction and survey with an extensive bibliography the reader is referred to Zimmer [15].

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Computing in Algebraic Extensions,iary arithmetic on rational intervals (Section 3). Finally, we present some auxiliary algebraic number algorithms used in other chapters of this volume (Section 7). This chapter does not include any special algorithms of algebraic number theory. For an introduction and survey with an extensive bibliography the reader is referred to Zimmer [15].

Perigee

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Algebraic Simplification,sions, radical expressions and transcendental expressions are treated (Sections 3–7). As examples for completion algorithms the Knuth-Bendix algorithm for rewrite rules and an algorithm for completing bases of polynomial ideals are described (Sections 8–11).

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Computer Algebra978-3-7091-3406-1Series ISSN 0344-8029

PALMY

Systems Collaboration and Integration and elementary transcendental integrands are reviewed. Heuristic techniques for indefinite integration, and techniques for definite integration and ordinary differential equations are touched on only briefly.