240092 Computeralgebra (V) (SoSe 2025)
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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.
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| 24-B-PRO Profile Module in Mathematics Profilierung | Lecture according to module description | Graded examination
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| 24-B-PSE Structured Electives: Profile Module Profilierung Strukturierte Ergänzung | Lecture according to module description | Graded examination
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| 24-B-PSE-5a Structured Electives: Profile Module a (5 CP) Profilierung Strukturierte Ergänzung a (5LP) | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-B-PSE-5b Structured Electives: Profile Module b (5 CP) Profilierung Strukturierte Ergänzung b (5LP) | Vorlesung gemäß Modulbeschreibung | Student information |
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| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Studieren ab 50 |
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