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Polynomial Algorithms in Computer Algebra - Franz Winkler
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Polynomial Algorithms in Computer Algebra - Paperback

1996, ISBN: 3211827595

[EAN: 9783211827598], Neubuch, [SC: 0.0], [PU: Springer Vienna], ALGORITHM; COMPLEXITY; COMPUTERALGEBRA; COMPUTERSCIENCE; DATASTRUCTURES; ALGORITHMANALYSISANDPROBLEMCOMPLEXITY, Druck auf … More...

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Polynomial Algorithms in Computer Algebra Franz Winkler Author
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Polynomial Algorithms in Computer Algebra Franz Winkler Author - new book

ISBN: 9783211827598

For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares. In the summers of 199… More...

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Polynomial Algorithms in Computer Algebra (Texts and mongraphs in symbolic computation) - Winkler, Franz
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Winkler, Franz:
Polynomial Algorithms in Computer Algebra (Texts and mongraphs in symbolic computation) - First edition

2013

ISBN: 9783211827598

Paperback

Springer, Taschenbuch, Auflage: 1. 270 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 1.13 kg, Verkaufsrang: 3351194, Datenbanken, Computer & Internet, Kategorien, Bücher,… More...

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Polynomial Algorithms in Computer Algebra (Texts and mongraphs in symbolic computation) - Winkler, Franz
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Winkler, Franz:
Polynomial Algorithms in Computer Algebra (Texts and mongraphs in symbolic computation) - First edition

2013, ISBN: 9783211827598

Paperback

Springer, Taschenbuch, Auflage: 1. 270 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 1.13 kg, Verkaufsrang: 3351194, Datenbanken, Computer & Internet, Kategorien, Bücher,… More...

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Polynomial Algorithms in Computer Algebra (Texts and mongraphs in symbolic computation) - Winkler, Franz
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Winkler, Franz:
Polynomial Algorithms in Computer Algebra (Texts and mongraphs in symbolic computation) - First edition

2013, ISBN: 9783211827598

Paperback

Springer, Taschenbuch, Auflage: 1. 270 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 1.13 kg, Verkaufsrang: 3351194, Datenbanken, Computer & Internet, Kategorien, Bücher,… More...

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Polynomial Algorithms in Computer Algebra Franz Winkler Author

The book gives a thorough introduction to the mathematical underpinnings of computer algebra. The subjects treated range from arithmetic of integers and polynomials to fast factorization methods, Gröbner bases, and algorithms in algebraic geometry. The algebraic background for all the algorithms presented in the book is fully described, and most of the algorithms are investigated with respect to their computational complexity. Each chapter closes with a brief survey of the related literature.

Details of the book - Polynomial Algorithms in Computer Algebra Franz Winkler Author


EAN (ISBN-13): 9783211827598
ISBN (ISBN-10): 3211827595
Paperback
Publishing year: 1996
Publisher: Springer Vienna Core >1 >T
288 Pages
Weight: 0,544 kg
Language: eng/Englisch

Book in our database since 2007-10-26T06:11:54+01:00 (London)
Detail page last modified on 2024-02-18T20:19:18+00:00 (London)
ISBN/EAN: 3211827595

ISBN - alternate spelling:
3-211-82759-5, 978-3-211-82759-8
Alternate spelling and related search-keywords:
Book author: franz winkler, buchberger
Book title: polynomial algorithms computer algebra, before the computer, constantin, constantine


Information from Publisher

Author: Franz Winkler
Title: Texts & Monographs in Symbolic Computation; Polynomial Algorithms in Computer Algebra
Publisher: Springer; Springer Wien
270 Pages
Publishing year: 1996-08-02
Vienna
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
VIII, 270 p.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; algebra; algorithm; algorithms; complexity; computer; computer algebra; computer science; data structures; algorithm analysis and problem complexity; Algebra; Theory of Computation; Data Science; Algorithms; Symbolic and Algebraic Manipulation; Theoretische Informatik; Datenbanken; Algorithmen und Datenstrukturen; Mathematik für Informatiker; EA

1 Introduction.- 1.1 What is computer algebra?.- 1.2 Program systems in computer algebra.- 1.3 Algebraic preliminaries.- 1.4 Representation of algebraic structures.- 1.5 Measuring the complexity of algorithms.- 1.6 Bibliographic notes.- 2 Arithmetic in basic domains.- 2.1 Integers.- 2.2 Polynomials.- 2.3 Quotient fields.- 2.4 Algebraic extension fields.- 2.5 Finite fields.- 2.6 Bibliographic notes.- 3 Computing by homomorphic images.- 3.1 The Chinese remainder problem and the modular method.- 3.2 p-adic approximation.- 3.3 The fast Fourier transform.- 3.4 Bibliographic notes.- 4 Greatest common divisors of polynomials.- 4.1 Polynomial remainder sequences.- 4.2 A modular gcd algorithm.- 4.3 Computation of resultants.- 4.4 Squarefree factorization.- 4.5 Squarefree partial fraction decomposition.- 4.6 Integration of rational functions.- 4.7 Bibliographic notes.- 5 Factorization of polynomials.- 5.1 Factorization over finite fields.- 5.2 Factorization over the integers.- 5.3 A polynomial-time factorization algorithm over the integers.- 5.4 Factorization over algebraic extension fields.- 5.5 Factorization over an algebraically closed field.- 5.6 Bibliographic notes.- 6 Decomposition of polynomials.- 6.1 A polynomial-time algorithm for decomposition.- 6.2 Bibliographic notes.- 7 Linear algebra—solving linear systems.- 7.1 Bareiss’s algorithm.- 7.2 Hankel matrices.- 7.3 Application of Hankel matrices to polynomial problems.- 7.4 Bibliographic notes.- 8 The method of Gröbner bases.- 8.1 Reduction relations.- 8.2 Polynomial reduction and Gröbner bases.- 8.3 Computation of Gröbner bases.- 8.4 Applications of Gröbner bases.- 8.5 Speed-ups and complexity considerations.- 8.6 Bibliographic notes.- 9 Quantifier elimination in real closed fields.- 9.1 The problem of quantifierelimination.- 9.2 Cylindrical algebraic decomposition.- 9.3 Bibliographic notes.- 10 Indefinite summation.- 10.1 Gosper’s algorithm.- 10.2 Bibliographic notes.- 11 Parametrization of algebraic curves.- 11.1 Plane algebraic curves.- 11.2 A parametrization algorithm.- 11.3 Bibliographic notes.- Solutions of selected exercises.- References.

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