Some Tapas of Computer Algebra

Inbunden, Engelska, 1998

Del i serien Algorithms and Computation in Mathematics

535 kr

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Beskrivning

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 Grobner 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.

Produktinformation

Utgivningsdatum:1998-12-15
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Algorithms and Computation in Mathematics
Antal sidor:352
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540634805

Utforska kategorier

Systemvetenskap och AI inom Data och IT
Algebra inom Naturvetenskap och teknik

Recensioner i media

"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

Innehållsförteckning

1. Gröbner Bases, an Introduction.- 2. Symbolic Recipes for Polynomial System Solving.- 3. Lattice Reduction.- 4. Factorisation of Polynomials.- 5. Computations in Associative and Lie Algebras.- 6. Symbolic Recipes for Real Solutions.- 7. Gröbner Bases and Integer Programming.- 8. Working with Finite Groups.- 9. Symbolic Analysis of Differential Equations.- 10. Gröbner Bases for Codes.- 11. Gröbner Bases for Decoding.- Project 1. Automatic Geometry Theorem Proving.- Project 2. The Birkhoff Interpolation Problem.- Project 3. The Inverse Kinematics Problem in Robotics.- Project 4. Quaternion Algebras.- Project 5. Explorations with the Icosahedral Group.- Project 6. The Small Mathieu Groups.- Project 7: The Golay Codes.