Computational Algebra and Number Theory / edited by Wieb Bosma, Alf van der Poorten
(Mathematics and Its Applications ; 325)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
| 出版年 | 1995 |
| 本文言語 | 英語 |
| 大きさ | XIV, 322 p : online resource |
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| 内容注記 | 1 Calculating Growth Functions for Groups Using Automata 2 The Minimal Faithful Degree of a Finite Commutative Inverse Semigroup 3 Generalisations of the Todd-Coxeter Algorithm 4 Computing Left Kan Extensions Using the Todd—Coxeter Procedure 5 Computing Finite Soluble Quotients 6 Computing Automorphism Groups of p-Groups 7 The Art and Science of Computing in Large Groups 8 Does the Set of Points of an Elliptic Curve Determine the Group? 9 An Implementation of the Elliptic Curve Integer Factorization Method 10 Continued Fractions of Algebraic Numbers 11 Bounds for Class Numbers of Quadratic Orders 12 Short Representation of Quadratic Integers 13 A Density Conjecture for the Negative Pell Equation 14 Computing Aurifeuillian Factors 15 Computation of Cyclotomic Polynomials with Magma 16 On Some Characteristics of Uniformity of Distribution and Their Applications 17 Recent Progress on Consistency Testing for Polynomial Systems 18 A New Generalisation of the Kummer Congruence 19 Series Expansions of Algebraic Functions 20 Generation of Cocyclic Hadamard Matrices 21 Large Cayley Graphs and Digraphs with Small Degree and Diameter 22 Hyperbolic Pyritohedra Constructed from the Coxeter Group [4,3,5] |
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| 一般注記 | Computers have stretched the limits of what is possible in mathematics. More: they have given rise to new fields of mathematical study; the analysis of new and traditional algorithms, the creation of new paradigms for implementing computational methods, the viewing of old techniques from a concrete algorithmic vantage point, to name but a few. Computational Algebra and Number Theory lies at the lively intersection of computer science and mathematics. It highlights the surprising width and depth of the field through examples drawn from current activity, ranging from category theory, graph theory and combinatorics, to more classical computational areas, such as group theory and number theory. Many of the papers in the book provide a survey of their topic, as well as a description of present research. Throughout the variety of mathematical and computational fields represented, the emphasis is placed on the common principles and the methods employed. Audience: Students, experts, and those performing current research in any of the topics mentioned above |
| 著者標目 | Bosma, Wieb editor Poorten, Alf van der editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Numerical analysis LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Algebra LCSH:Group theory LCSH:Number theory LCSH:Combinatorics FREE:Mathematics FREE:Algebra FREE:Number Theory FREE:Group Theory and Generalizations FREE:Combinatorics FREE:Symbolic and Algebraic Manipulation FREE:Numeric Computing |
| 分 類 | DC23:512 |
| 巻冊次 | ISBN:9789401711081 
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| ISBN | 9789401711081 |
| URL | http://dx.doi.org/10.1007/978-94-017-1108-1 |
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