Some Tapas of Computer Algebra
(Sprache: Englisch)
This book arose from a series of courses on computer algebra which were given at Eindhoven Technical University. Its chapters present a variety of topics in computer algebra at an accessible (upper undergraduate/graduate) level with a view towards recent...
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Klappentext zu „Some Tapas of Computer Algebra “
This book arose from a series of courses on computer algebra which were given at Eindhoven Technical University. Its chapters present a variety of topics in computer algebra at an accessible (upper undergraduate/graduate) level with a view towards recent developments. For those wanting to acquaint themselves somewhat further with the material, the book also contains seven 'projects', which could serve as practical sessions related to one or more chapters. The contributions focus on topics like Gröbner bases, real algebraic geometry, Lie algebras, factorisation of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must-read for everybody interested in computer algebra.
Inhaltsverzeichnis zu „Some Tapas of Computer Algebra “
Preface.- Chapt.
1. Gröbner Bases, an Introduction by A.M.Cohen.
- Chapt.
2. Symbolic Recipes for Polynomial System Solving by L.Gonzalez-Vega, F.Rouillier, M.-F.Roy.
- Chapt.
3. Lattice Reduction by F.Beukers.
- Chapt.
4. Factorization of Polynomials by F.Beukers.
- Chapt.
5. Computation in Associative and Lie Algebras by G.Ivanyos and L.Rónyai.
- Chapt.
6. Symbolic Recipes for Real Solutions by L.Gonzalez-Vega, F.Rouillier, M.-F.Roy, G.Trujillo.
- Chapt.
7. Gröbner Bases and Integer Programming by G.M.Ziegler.
- Chapt.
8. Working With Finite Groups by H.Cuypers, L.H.Soicher, H.Sterk.
- Chapt.9. Symbolic Analysis of Differential Equations by M.van der Put.
- Chapt.
10. Gröbner Bases for Codes by M. de Boer, R.Pellikaan.
- Chapt.
11. Gröbner Bases for Decoding by M. de Boer, R.Pellikaan.
- Project
1. Automatic Geometry Theorem Proving by T.Recio, H.Sterk, M.P.Vélez.
- Project
2. The Birkhoff Interpolation Problem by M.-J. Gonzalez-Lopez, L.Gonzalez-Vega.
- Project
3. The Inverse Kinematics Problem in Robotics by M.-J.Gonzalez-Lopez, L.Gonzalez-Vega.
- Project
4. Quaternion Algebras by G.Ivanyos, L. Rónyai.
- Project
5. Explorations with the Icosahedral Group by A.M.Cohen, H.Cuypers, R.Riebeek.
- Project
6. The Small Mathieu Groups by H.Cuypers, L.H.Soicher, H.Sterk.
- Project
7. The Golay Codes by M. de Boer, R.Pellikaan.
Bibliographische Angaben
- 1998, 352 Seiten, 20 Abbildungen, Masse: 16,6 x 24,1 cm, Gebunden, Englisch
- Herausgegeben:Cohen, Arjeh M.; Cuypers, Hans; Sterk, Hans
- Herausgegeben: Arjeh M. Cohen, Hans Cuypers, Hans Sterk
- Verlag: Springer
- ISBN-10: 3540634800
- ISBN-13: 9783540634805
- Erscheinungsdatum: 15.12.1998
Sprache:
Englisch
Rezension zu „Some Tapas of Computer Algebra “
"Tapas are hors d'oeuvres or snacks in the Spanish cuisine. And really, the topics treated by various authors can be considered a great variety of appetizers, which reach from mild to hot ones. ... All in all a very recommendable book which by the way has the advantage that one can get in it easily at many places and may pick out for oneself the most interesting themes." -- Reviewed by G.Kowol, Monatshefte der Mathematik 2003, Vol. 138, Issue 1
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