Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000010184097 | QA155.7.E4 S65 1999 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
In the years 1994, 1995, two EIDMA mini courses on Computer Algebra were given at the Eindhoven University of Technology by, apart from ourselves, various invited lecturers. (EIDMA is the Research School 'Euler Institute for Discrete Mathematics and its Applications'.) The idea of the courses was to acquaint young mathematicians with algorithms and software for mathemat ical research and to enable them to incorporate algorithms in their research. A collection of lecture notes was used at these courses. When discussing these courses in comparison with other kinds of courses one might give in a week's time, Joachim Neubüser referred to our courses as 'tapas'. This denomination underlined that the courses consisted of appe tizers for various parts of algorithmic algebra; indeed, we covered such spicy topics as the link between Gröbner bases and integer programming, and the detection of algebraic solutions to differential equations. As a collection, the not es turned out to have some appeal of their own, which is the main reason why the idea came up of transforming them into book form. We feIt however, that the book should be distinguishable from a standard text book on computer algebra in that it retains its appetizing flavour by presenting a variety of topics at an accessible level with a view to recent developments.
Table of Contents
Preface |
Chapt. 1 Gröbner Bases, an IntroductionA.M.Cohen |
Chapt. 2 Symbolic Recipes for Polynomial System SolvingL.Gonzalez-Vega and F.Rouillier and M.-F.Roy |
Chapt. 3 Lattice ReductionF.Beukers |
Chapt. 4 Factorization of PolynomialsF.Beukers |
Chapt. 5 Computation in Associative and Lie AlgebrasG.Ivanyos and L.Rònyai |
Chapt. 6 Symbolic Recipes for Real SolutionsL.Gonzalez-Vega and F.Rouillier and M.-F.Roy and G.Trujillo |
Chapt. 7 Gröbner Bases and Integer ProgrammingG.M.Ziegler |
Chapt. 8 Working With Finite GroupsH.Cuypers and L.H.Soicher and H.Sterk |
Chapt.9 Symbolic Analysis of Differential EquationsM.van der Put |
Chapt. 10 Gröbner Bases for CodesM. de Boer and R.Pellikaan |
Chapt. 11 Gröbner Bases for DecodingM. de Boer and R.Pellikaan |
Project 1 Automatic Geometry Theorem ProvingT.Recio and H.Sterk and M.P.Vèlez |
Project 2 The Birkhoff Interpolation ProblemM.-J. Gonzalez-Lopez and L.Gonzalez-Vega |
Project 3 The Inverse Kinematics Problem in RoboticsM.-J.Gonzalez-Lopez and L.Gonzalez-Vega |
Project 4 Quaternion AlgebrasG.Ivanyos, L. Rònyai |
Project 5 Explorations with the Icosahedral GroupA.M.Cohen and H.Cuypers and R.Riebeek |
Project 6 The Small Mathieu GroupsH.Cuypers and L.H.Soicher and H.Sterk |
Project 7 The Golay CodesM. de Boer and R.Pellikaan |