Some Tapas of Computer Algebra by Arjeh M. Cohen (auth.), Arjeh M. Cohen, Hans Cuypers, Hans

By Arjeh M. Cohen (auth.), Arjeh M. Cohen, Hans Cuypers, Hans Sterk (eds.)

This publication arose from a chain of classes on computing device algebra which have been given at Eindhoven Technical college. Its chapters current various issues in desktop algebra at an obtainable (upper undergraduate/graduate) point with a view in the direction of contemporary advancements. For these eager to acquaint themselves just a little extra with the cloth, the ebook additionally comprises seven 'projects', which can function useful periods regarding a number of chapters.
The contributions specialise in subject matters like Gröbner bases, genuine algebraic geometry, Lie algebras, factorisation of polynomials, integer programming, permutation teams, differential equations, coding conception, automated theorem proving, and polyhedral geometry.
This booklet is a must-read for everyone drawn to computing device algebra.

Show description

Read or Download Some Tapas of Computer Algebra PDF

Similar algebra books

Linear Algebra: A Modern Introduction (4th Edition)

David Poole's leading edge LINEAR ALGEBRA: a latest advent, 4e emphasizes a vectors strategy and higher prepares scholars to make the transition from computational to theoretical arithmetic. Balancing conception and functions, the ebook is written in a conversational type and combines a standard presentation with a spotlight on student-centered studying.

Computer Algebra in Scientific Computing: CASC 2000

The e-book covers a variety of subject matters of desktop algebra tools, algorithms and software program utilized to medical computing. one of many vital issues of the e-book is the appliance of laptop algebra equipment for the improvement of latest effective analytic and numerical solvers, either for traditional and partial differential equations.

Additional info for Some Tapas of Computer Algebra

Sample text

Procesi (1980): Hodge Aigebms, Asterisque 9l. 14. D. Eisenbud (1995): Commutative Aigebm With a View Toward Aigebmic Geometry, Graduate Texts in Math. 150, Springer-Verlag. 15. Daniel R. Farkas, Feustel, C. D. Green, and L. Edward (1993): Synergy in the theories of Groebner bases and path algebms, Can. J. Math. 45, 727-739. 16. K O. Geddes, S. R. Czapor, and G. Labahn (1992): Algorithms for Computer Aigebm, Kluwer, Dordrecht. 17. Green, Edward L. (1993): An introduction to noncommutative Groebner bases, pp.

3, Amer. Math. Soc. 32 A. M. Cohen 2. M. F. Atiyah and I. G. Macdonald (1969): Introduction to Commutative Aigebm, Addison-Wesley, Reading, MA. 3. M. Artin (1991): Aigebm, Prentice Hall, Englewood Cliffs, NJ. 4. T. Becker and V. Weispfenning (1993): Gröbner Bases, Graduate Texts in Mathematics 141, Springer-Verlag, New York Berlin Heidelberg. 5. B. Buchberger (1965): Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Ph. D. Thesis, Innsbruck.

6. An order with Xl < ... < X n is called an elimination order if < Xi+l for any j and i = 1, ... , n - 1. 5 is also valid for any elimination order instead of the lexicographic order. xl The proposition guarantees that, whatever solutions x E Kn to b(x) = 0 for bEB there may be, their first coordinates Xl will satisfy the gcd of all equations in (B) without variables X 2 , ... ,Xn . 7. Suppose B is a Gröbner basis with respect to the lexico- graphie order with Xl < ... < X n . Let (Xl, ... ,XR) E KR for some C :s; n.

Download PDF sample

Rated 4.00 of 5 – based on 44 votes