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ISBN: 0792392590Издательство: Kluwer Academic Publishers
"Algorithms for Computer Algebra" is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. "Algorithms for Computer Algebra" is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate...