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

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Real Zeros of Polynomials,endpoints, each containing exactly one real zero of . and together containing all real zeros of .. We describe an algorithm due to Kronecker based on the minimum root separation, Sturm’s algorithm, an algorithm based on Rolle’s theorem due to Collins and Loos and the modified Uspensky algorithm due
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Computing by Homomorphic Images,ated extensively. Chinese remaindering is first presented in an abstract setting. Then the specialization to Euclidean domains, in particular ., . [.] and . [..,..., ..] is treated. The lifting construction is first also presented in an abstract form from which Hensel’s Lemma derives by specializati
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Computing in Transcendental Extensions,ctions over the field. The computational difficulty associated with such extensions is in verifying that proposed extensions are transcendental. When the extensions being considered are functions, and where a differentiation operator can be defined for them, structure theorems can be used to determi
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Computer Algebra Applications,y survey articles are previously published, we did not attempt to be exhaustive. We discuss mainly recent work in biology, chemistry, physics, mathematics and computer science, thus again confirming that applications have both engineering and scientific aspects, i.e. apart from delivering results th
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