Effective Polynomial Computation - The Springer International Series in Engineering and Computer Science 241 (Paperback)Richard Zippel (author)
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Effective Polynomial Computation provides much of the mathematical motivation of the algorithms discussed to help the reader appreciate the mathematical mechanisms underlying the algorithms, and so that the algorithms will not appear to be constructed out of whole cloth.
Preparatory to the discussion of algorithms for polynomials, the first third of this book discusses related issues in elementary number theory. These results are either used in later algorithms (e.g. the discussion of lattices and Diophantine approximation), or analogs of the number theoretic algorithms are used for polynomial problems (e.g. Euclidean algorithm and p-adic numbers).
Among the unique features of Effective Polynomial Computation is the detailed material on greatest common divisor and factoring algorithms for sparse multivariate polynomials. In addition, both deterministic and probabilistic algorithms for irreducibility testing of polynomials are discussed.
Publisher: Springer-Verlag New York Inc.
Number of pages: 363
Weight: 581 g
Dimensions: 235 x 155 x 19 mm
Edition: Softcover reprint of the original 1st ed. 199