Universität Wien
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250042 VO Computer algebra (2007W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 02.10. 15:00 - 17:00 Seminarraum
  • Friday 05.10. 13:00 - 15:00 Seminarraum
  • Tuesday 09.10. 15:00 - 17:00 Seminarraum
  • Friday 12.10. 13:00 - 15:00 Seminarraum
  • Tuesday 16.10. 15:00 - 17:00 Seminarraum
  • Friday 19.10. 13:00 - 15:00 Seminarraum
  • Tuesday 23.10. 15:00 - 17:00 Seminarraum
  • Tuesday 30.10. 15:00 - 17:00 Seminarraum
  • Tuesday 06.11. 15:00 - 17:00 Seminarraum
  • Friday 09.11. 13:00 - 15:00 Seminarraum
  • Tuesday 13.11. 15:00 - 17:00 Seminarraum
  • Friday 16.11. 13:00 - 15:00 Seminarraum
  • Tuesday 20.11. 15:00 - 17:00 Seminarraum
  • Friday 23.11. 13:00 - 15:00 Seminarraum
  • Tuesday 27.11. 15:00 - 17:00 Seminarraum
  • Friday 30.11. 13:00 - 15:00 Seminarraum
  • Tuesday 04.12. 15:00 - 17:00 Seminarraum
  • Friday 07.12. 13:00 - 15:00 Seminarraum
  • Tuesday 11.12. 15:00 - 17:00 Seminarraum
  • Friday 14.12. 13:00 - 15:00 Seminarraum
  • Tuesday 18.12. 15:00 - 17:00 Seminarraum
  • Tuesday 08.01. 15:00 - 17:00 Seminarraum
  • Friday 11.01. 13:00 - 15:00 Seminarraum
  • Tuesday 15.01. 15:00 - 17:00 Seminarraum
  • Friday 18.01. 13:00 - 15:00 Seminarraum
  • Tuesday 22.01. 15:00 - 17:00 Seminarraum
  • Friday 25.01. 13:00 - 15:00 Seminarraum
  • Tuesday 29.01. 15:00 - 17:00 Seminarraum

Information

Aims, contents and method of the course

Computer algebra is a more recent area, where mathematical tools and computer software are developed for the exact (and not numerical) solution of equations. The basic objects of computer algebra are numbers and polynomials.
We concentrate on topics in algorithmic number theory and on Groebner bases to solve systems of polynomial equations. We will also introduce CACs, in particular pari gp, reduce and mathematica. There will be sessions in the pc-lab.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

1.) von zur Gathen, Joachim; Gerhard, Jürgen:
Modern computer algebra. 1999.
2.) Forster, Otto: Algorithmische Zahlentheorie. 1996.
3.) Buchmann, Johannes A.: Introduction to cryptography. 2004.
4.) Sturmfels, Bernd: Solving systems of polynomial equations. 2002
5.) Cox, David; Little, John; O'Shea, Donal: Ideals,
Varieties and Algorithms. 1997.

Association in the course directory

MALV

Last modified: Mo 07.09.2020 15:40