Wintersemester 2003/2004
Vorlesungsankündigung
Franz Winkler
Computeralgebra (326.201)
(mit Übungen)
Time: Tue 16.15 - 17.45, Place: T 211
15.30 -16.15 Übungen, Leiter Dr. G. Landsmann, Place: T 211
first lecture: October 7
first exercises: October 14
A theoretical introduction into the area of computer algebra is presented.
Some of the main topics will be algorithms for basic algebraic domains
(like integers, polynomials, finite fields, algebraic extension fields),
computation by homomorphic images using the Chinese remainder algorithm,
greatest common divisors of polynomials, factorization of univariate
polynomials over finite fields, and the basic theory of Gröbner bases
for polynomial ideals.
The course will follow the appropriate chapters in
F. Winkler: Polynomial Algorithms in Computer Algebra
Springer-Verlag Wien New York, 1996 (ISBN 3-211-82759-5)
Participants are expected to be acquainted with the basic notions in
algebra and algorithm theory.
In the exercise session (Übungen) the students will have to solve
both theoretical problems and practical problems with the help of
some computer algebra system.
Informations to the exercises can be found
here.
The final exam will take place on tuesday, january 27 at the usual lecture time and room. Books and notes are allowed.
Projektseminar: Computeralgebra (326.805)
Time: Thu 14.30 - 16.00, Place: Seminarraum Hagenberg
first meeting: October 9
We discuss new results (by our group and also by others) in
computer algebra, symbolic computation, computer aided geometric
reasoning, and related topics.
Participants give lectures in the seminar, and sometimes guest
speakers are invited to present their work.
Vortragsreihe Symbolic Computation (326.050)
Time: Mon 13.30 - 14.30 (see announcements), Place: Seminarraum Hagenberg
Invited guest speakers present their research work in symbolic
computation.
Seminar Computer-Algebra I (326.753)
Time and place according to agreement
We read and discuss recent publications in computer algebra.
Programmierprojekt Computer-Algebra I (326.761)
Time and place according to agreement
Implementation of algorithms in computer algebra and constructive
algebraic geometry.
Diplomanden- und Dissertantenseminar I (326.703)
Time and place according to agreement
I discuss ongoing work with my doctoral and diploma students.
In my working group students are encouraged to work out diploma
and phd theses on topics such as computer algebra, algebraic geometry,
computer aided geometric design, and symbolic methods in analysis.