Computational Algebra and Number Theory

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160,49 

Mathematics and Its Applications 325

ISBN: 9048145600
ISBN 13: 9789048145607
Herausgeber: Wieb Bosma/Alf van der Poorten
Verlag: Springer Verlag GmbH
Umfang: xiv, 322 S.
Erscheinungsdatum: 04.12.2010
Auflage: 1/1995
Produktform: Kartoniert
Einband: KT
Artikelnummer: 1583329 Kategorie:

Beschreibung

InhaltsangabePreface. 1: Calculating Growth Functions for Groups Using Automata; M. Brazil. 2: The Minimal Faithful Degree of a Finite Commutative Inverse Semigroup; S. Byleveld, D. Easdown. 3: Generalizations of the Todd-Coxeter Algorithm; S. A. Linton. 4: Computing Left Kan Extensions Using the Todd-Coxeter Procedure; M. Leeming, R. F. C. Walters. 5: Computing Finite Soluble Quotients; A. C. Niemeyer. 6: Computing Automorphism Groups of p-Groups; E. A. O'Brien. 7: The Art and Science of Computing in Large Groups; S. A. Linton. 8: Does the Set of Points of an Elliptic Curve Determine the Group? H. W. Lenstra Jr., J. Pila. 9: An Implementation of the Elliptic Curve Integer Factorization Method; W. Bosma, A. K. Lenstra. 10: Continued Fractions of Algebraic Numbers; E. Bombieri, A. J. van der Poorten. 11: Bounds for Class Numbers of Quadratic Orders; S. Loubotin, R. A. Mollin. 12: Short Representation of Quadratic Integers; J. Buchmann, C. Thiel, H. Williams. 13: A Density Conjecture for the Negative Pell Equation; P. Stevenhagen. 14: Computing Aurifeuillian Factors; R. P. Brent. 15: Computation of Cyclotomic Polynomials with MAGMA; W. Bosma. 16: On Some Characteristics of Uniformity of Distribution and their Applications; I. E. Shparlinski. 17: Recent Progress on Consistency Testing for Polynomial Systems; S. McCallum. 18: A New Generalisation of the Kummer Congruence; H. S. Gunaratne. 19: Series Expansions ofAlgebraic Functions; D. Griffiths. 20: Generation of Cocyclic Hadamard Matrices; K. J. Horadam, W. de Launey. 21: Large Cayley Graphs and Digraphs with Small Degree and Diameter; P. R. Hafner. 22: Hyperbolic Pyritohedra constructed from the Coxeter Group [4,3,5]; P. Lorimer.

Inhaltsverzeichnis

Preface. 1: Calculating Growth Functions for Groups Using Automata; M. Brazil. 2: The Minimal Faithful Degree of a Finite Commutative Inverse Semigroup; S. Byleveld, D. Easdown. 3: Generalizations of the Todd-Coxeter Algorithm; S. A. Linton. 4: Computing Left Kan Extensions Using the Todd-Coxeter Procedure; M. Leeming, R. F. C. Walters. 5: Computing Finite Soluble Quotients; A. C. Niemeyer. 6: Computing Automorphism Groups of p-Groups; E. A. O''Brien. 7: The Art and Science of Computing in Large Groups; S. A. Linton. 8: Does the Set of Points of an Elliptic Curve Determine the Group? H. W. Lenstra Jr., J. Pila. 9: An Implementation of the Elliptic Curve Integer Factorization Method; W. Bosma, A. K. Lenstra. 10: Continued Fractions of Algebraic Numbers; E. Bombieri, A. J. van der Poorten. 11: Bounds for Class Numbers of Quadratic Orders; S. Loubotin, R. A. Mollin. 12: Short Representation of Quadratic Integers; J. Buchmann, C. Thiel, H. Williams. 13: A Density Conjecture for the Negative Pell Equation; P. Stevenhagen. 14: Computing Aurifeuillian Factors; R. P. Brent. 15: Computation of Cyclotomic Polynomials with MAGMA; W. Bosma. 16: On Some Characteristics of Uniformity of Distribution and their Applications; I. E. Shparlinski. 17: Recent Progress on Consistency Testing for Polynomial Systems; S. McCallum. 18: A New Generalisation of the Kummer Congruence; H. S. Gunaratne. 19: Series Expansions of Algebraic Functions; D. Griffiths. 20: Generation of Cocyclic Hadamard Matrices; K. J. Horadam, W. de Launey. 21: Large Cayley Graphs and Digraphs with Small Degree and Diameter; P. R. Hafner. 22: Hyperbolic Pyritohedra constructed from the Coxeter Group [4,3,5]; P. Lorimer.

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