240077 Computeralgebra (V) (WiSe 2026/2027)
Contents, comment
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Computeralgebra
===============In der Vorlesung Computeralgebra werden wir einige grundlegende
Algorithmen in der Algebra kennenlernen.
Dazu zählen z.B.:
+ Schnelles Multiplizieren von Polynomen und ganzen Zahlen
+ Primzahltests und Faktorisieren ganzer Zahlen
+ Faktorisieren von Polynomen über endlichen Körpern
+ Faktorisieren von Polynomen über den ganzen bzw. rationalen Zahlen
+ gitterbasierte Methoden und LLL-Reduktion
+ GröbnerbasenNeben theoretischen Aufgaben wird es auch kleinere Programmieraufgaben
geben, die wir im
Computeralgebrasystem Hecke/Oscar implementieren, welches auf Julia
basiert.Explizit vorausgesetzt wird lediglich die Lineare Algebra.
Darüber hinausgehende Kenntnisse aus der Algebra sind natürlich
nützlich, aber nicht erforderlich.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Di | 14-16 | 12.10.2026-05.02.2027 | ||
| weekly | Do | 14-16 | 12.10.2026-05.02.2027 |
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-B-PM Profiling Module in Mathematics | Vorlesung Profilierung Mathematik | Graded examination
|
Student information |
| 24-B-PM-5 Profiling Module in Mathematics (5 LP) | Vorlesung Profilierung Mathematik | Student information | |
| 24-B-PSE Structured Electives: Profile Module | Lecture according to module description | Graded examination
|
Student information |
| 24-B-PSE-5a Structured Electives: Profile Module a (5 CP) | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-B-PSE-5b Structured Electives: Profile Module b (5 CP) | Vorlesung gemäß Modulbeschreibung | Student information |
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- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Department
- Faculty of Mathematics
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