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Carte Effective Polynomial Computation Richard Zippel

Effective Polynomial Computation

Autor: Richard Zippel
Limbă: engleză
Legare: Copertă tare
Editura: Springer, Berlin
Disponibilitate: În depozitul extern în cantități mici
Expediem în 13-18 zile
895.47 lei
Effective Polynomial Computation is an introduction to the algorithms of computer algebra. It discus...

Informații despre carte

Autor
Richard Zippel
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
1993
Pagini
363
EAN
9780792393757
ISBN
0792393759
Enbook ID
04162490
Editura
Springer, Berlin
Greutate
730
Dimensiuni
157 x 243 x 32

Descriere completă

Effective Polynomial Computation is an introduction to the algorithms of computer algebra. It discusses the basic algorithms for manipulating polynomials including factoring polynomials. These algorithms are discussed from both a theoretical and practical perspective. Those cases where theoretically optimal algorithms are inappropriate are discussed and the practical alternatives are explained. 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.

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