Hardcover. Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Dati bibliografici

Titolo

Solving Polynomial Equation Systems I (Hardcover)

Editore

Cambridge University Press, Cambridge

Data di pubblicazione

2003

Lingua

Inglese

ISBN 10

0521811546

ISBN 13

9780521811545

Rilegatura

Hardcover

Edizione

prima edizione

Condizione

new

Cataloghi dei venditori

Descrizione articolo

Riassunto

Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.

Recensione

'This is an excellent book for readers interested in algebraic methods.' European Mathematical Society Newsletter

'The book [is] a thorough success ...'. Zentralblatt MATH

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