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Polynomial Algorithms in Computer Algebra
English
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Das Buch gibt eine fundierte Einführung in die mathematischen Grundlagen der Computeralgebra. Die behandelten Problembereiche erstrecken sich von Zahl- und Polynomarithmetik bis zu schnellen Faktorisierungsmethoden, Gröbnerbasen und Algorithmen in algebraischer Geometrie.§Die algebraischen Grundlagen aller vorgestellten Algorithmen werden eingehend beschrieben. Die meisten Algorithmen werden auf ihre Komplexität hin untersucht. Eine umfangreiche Literaturübersicht ist dem Text angefügt. The book gives a thorough introduction to the mathematical underpinnings of computer algebra. The subjects treated range from arithmetic of integers and polynomials to fast factorization methods, Gröbner bases, and algorithms in algebraic geometry.§The algebraic background for all the algorithms presented in this book is fully described, and most of the algorithms are investigated with respect to their computational complexity. Each chapter closes with a brief survey of the related literature.
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