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1
Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - Maurice Mignotte, L. Pasteur, D. Stefanescu
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Maurice Mignotte, L. Pasteur, D. Stefanescu:

Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - Paperback

ISBN: 9814021512

[SR: 7741928], Paperback, [EAN: 9789814021517], Springer Verlag, Singapore, Springer Verlag, Singapore, Book, [PU: Springer Verlag, Singapore], Springer Verlag, Singapore, 269709, Algorit… More...

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Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - Mignotte, Maurice, Stefanescu, Doru
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Mignotte, Maurice, Stefanescu, Doru:

Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - First edition

1999, ISBN: 9789814021517

Paperback

Springer, Taschenbuch, Auflage: 1, 317 Seiten, Publiziert: 1999-05-01T00:00:01Z, Produktgruppe: Buch, 0.9 kg, Verkaufsrang: 3257194, Informatik, IT-Ausbildung & -Berufe, Computer & Intern… More...

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Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - Mignotte, Maurice, Stefanescu, Doru
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Mignotte, Maurice, Stefanescu, Doru:
Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - First edition

1999

ISBN: 9789814021517

Paperback

Springer, Taschenbuch, Auflage: 1, 317 Seiten, Publiziert: 1999-05-01T00:00:01Z, Produktgruppe: Buch, 0.9 kg, Verkaufsrang: 3257194, Informatik, IT-Ausbildung & -Berufe, Computer & Intern… More...

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4
Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - Mignotte, Maurice, Stefanescu, Doru
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Mignotte, Maurice, Stefanescu, Doru:
Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science) - First edition

1999, ISBN: 9789814021517

Paperback

Springer, Taschenbuch, Auflage: 1, 317 Seiten, Publiziert: 1999-05-01T00:00:01Z, Produktgruppe: Buch, 0.41 kg, Verkaufsrang: 991587, Informatik, IT-Ausbildung & -Berufe, Computer & Intern… More...

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Polynomials - An Algorithmic Approach - Maurice Mignotte
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Maurice Mignotte:
Polynomials - An Algorithmic Approach - new book

ISBN: 9789814021517

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Details of the book
Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science)

This textbook gives a well-balanced presentation of the classic procedures of polynomial algebra which are computationally relevant and some algorithms developed during the last decade. The first chapter discusses the construction and the representation of polynomials. The second chapter focuses on the computational aspects of the analytical theory of polynomials. Polynomials with coefficients in a finite field are then described in chapter three, and the final chapetr is devoted to factorization of polynomials with integral coefficients. The book is primarily aimed at graduate students taking courses in Polynomial Algebra, with a prerequisite knowledge of set theory, usual fields and basic algebra. Fully worked out examples, hints and references complement the main text, and details concerning the implementation of algorithms as well as indicators of their efficiency are provided. The book is also useful as a supplementary text for courses in scientific computing, analysis of algorithms, computational polynomial factorization, and computational geometry of polynomials. TOC:An Introduction to Polynomials: Construction and representation of polynomials; Complexity and cost; Polynomial division; Polynomial factorization; Polynomial roots. Eliminations. Resultants; Symmetric functions; Polynomial interpolation; Irreducinility criteria.- Complex Polynomials: Polynomial size; Geometry of polynomials; Stable polynomials; Polynomial roots inside the unit disk; Bounds for the roots; Applications to integer polynomials; Separation of roots.- Polynomials with Coefficients in a Finite Field: Finite fields; Cyclotomic polynomials; Fast Fourier transform; Number of irreducible polynomials over a finite field; Constrcution of irreducible polynomials over a finite field; Roots of polynomials over finite fields; Squarefree polynomials; Berlekamp's algorithm; Niederreiter's algorithm.- Integer Polynomials: Kronecker's factorization method; The berlekamp-Zassenhaus algorithm; The LLL factorization algorithm.- Bibliography.- Notation.- List of Algorithms.- Index.

Details of the book - Polynomials: An Algorithmic Approach (Discrete Mathematics and Theoretical Computer Science)


EAN (ISBN-13): 9789814021517
ISBN (ISBN-10): 9814021512
Paperback
Publishing year: 1999
Publisher: Springer
320 Pages
Weight: 0,408 kg
Language: eng/Englisch

Book in our database since 2007-05-28T10:51:38+01:00 (London)
Detail page last modified on 2024-01-18T00:25:08+00:00 (London)
ISBN/EAN: 9814021512

ISBN - alternate spelling:
981-4021-51-2, 978-981-4021-51-7
Alternate spelling and related search-keywords:
Book author: mignotte, pasteur, mignot, stefanescu
Book title: polynomials, algorithmic, computer science


Information from Publisher

Author: Maurice Mignotte; Doru Stefanescu
Title: Discrete Mathematics and Theoretical Computer Science; Polynomials - An Algorithmic Approach
Publisher: Springer; Springer Singapore
306 Pages
Publishing year: 1999-05-01
Singapore; SG
Weight: 0,430 kg
Language: English
62,01 € (DE)
63,75 € (AT)
96,59 CHF (CH)
Not available, publisher indicates OP

BC; Book; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Numerische Mathematik; B; Computational Mathematics and Numerical Analysis; Mathematics and Statistics; Theory of Computation; Informatik; Theoretische Informatik

: Kronecker's factorization method; The berlekamp-Zassenhaus algorithm; The LLL factorization algorithm.- Bibliography.- Notation.- List of Algorithms.- Index.

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