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Titlebook: Effective Polynomial Computation; Richard Zippel Book 1993 Springer Science+Business Media New York 1993 Approximation.Diophantine approxi

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书目名称Effective Polynomial Computation
编辑Richard Zippel
视频video
丛书名称The Springer International Series in Engineering and Computer Science
图书封面Titlebook: Effective Polynomial Computation;  Richard Zippel Book 1993 Springer Science+Business Media New York 1993 Approximation.Diophantine approxi
描述.Effective Polynomial Computation. is an introduction tothe algorithms of computer algebra. It discusses the basic algorithmsfor manipulating polynomials including factoring polynomials. Thesealgorithms are discussed from both a theoretical and practicalperspective. Those cases where theoretically optimal algorithms areinappropriate are discussed and the practical alternatives areexplained...Effective Polynomial Computation. provides much of themathematical motivation of the algorithms discussed to help the readerappreciate the mathematical mechanisms underlying the algorithms, andso that the algorithms will not appear to be constructed out of wholecloth..Preparatory to the discussion of algorithms for polynomials, the firstthird of this book discusses related issues in elementary numbertheory. These results are either used in later algorithms (e.g. thediscussion of lattices and Diophantine approximation), or analogs ofthe number theoretic algorithms are used for polynomial problems (e.g.Euclidean algorithm and .p.-adic numbers)..Among the unique features of .Effective Polynomial Computation. isthe detailed material on greatest common divisor and factoringalgorithms for sparse mult
出版日期Book 1993
关键词Approximation; Diophantine approximation; Interpolation; Mathematica; algebra; algorithms; computer; comput
版次1
doihttps://doi.org/10.1007/978-1-4615-3188-3
isbn_softcover978-1-4613-6398-9
isbn_ebook978-1-4615-3188-3Series ISSN 0893-3405
issn_series 0893-3405
copyrightSpringer Science+Business Media New York 1993
The information of publication is updating

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Continued Fractions,f this sequence are called the continued fraction convergents of .. When the . are equal to 1, the elements of the above sequence are quite good approximations to . and, in a certain sense, all of the “best” approximations to . are elements of the sequence.
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Polynomial Arithmetic,on on which to build more complex structures like rational functions, algebraic functions, power series and rings of transcendental functions. And third, the algorithms for polynomial arithmetic are well understood, efficient and relatively easy to implement.
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