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Polynomial Algorithms in Computer Algebra - Franz Winkler
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Polynomial Algorithms in Computer Algebra - Livro de bolso

1996, ISBN: 3211827595

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

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Polynomial Algorithms in Computer Algebra Franz Winkler Author
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Polynomial Algorithms in Computer Algebra Franz Winkler Author - novo libro

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… mais…

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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) - primeira edição

2013

ISBN: 9783211827598

Livro de bolso

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

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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) - primeira edição

2013, ISBN: 9783211827598

Livro de bolso

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

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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) - primeira edição

2013, ISBN: 9783211827598

Livro de bolso

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

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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.

Dados detalhados do livro - Polynomial Algorithms in Computer Algebra Franz Winkler Author


EAN (ISBN-13): 9783211827598
ISBN (ISBN-10): 3211827595
Livro de bolso
Ano de publicação: 1996
Editor/Editora: Springer Vienna Core >1 >T
288 Páginas
Peso: 0,544 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-10-26T06:11:54+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2024-02-18T20:19:18+00:00 (Lisbon)
Número ISBN/EAN: 9783211827598

Número ISBN - Ortografia alternativa:
3-211-82759-5, 978-3-211-82759-8
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: franz winkler, buchberger
Título do livro: polynomial algorithms computer algebra, before the computer, constantin, constantine


Dados da editora

Autor: Franz Winkler
Título: Texts & Monographs in Symbolic Computation; Polynomial Algorithms in Computer Algebra
Editora: Springer; Springer Wien
270 Páginas
Ano de publicação: 1996-08-02
Vienna
Língua: Inglês
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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