Es ist eine neuere Version 2022W dieser LV im Curriculum Bachelorstudium Technische Mathematik 2021W vorhanden.
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Workload
Ausbildungslevel
Studienfachbereich
VerantwortlicheR
Semesterstunden
Anbietende Uni
3 ECTS
M1 - Master 1. Jahr
Mathematik
Arne Winterhof
2 SSt
Johannes Kepler Universität Linz
Detailinformationen
Quellcurriculum
Masterstudium Computer Mathematics 2020W
Ziele
(*)introduction to relevant number theoretic results and methods as well as overview of applications of number theory
Lehrinhalte
(*)Today number theory can be found in everyday life: in supermarket bar code scanners, in our cars' GPS systems, in online banking, etc. After a brief introduction to number theory we discuss selected results from the four main application areas of number theory: cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation.
Beurteilungskriterien
(*)depending on the number of participants either oral or written tests
Lehrmethoden
(*)blackboard talks; exercises to be discussed in the tutorials
Abhaltungssprache
Englisch
Literatur
(*)Lecture notes are provided. For further reading we recommend in particular the textbook of H. Niederreiter and A. Winterhof: 'Applied Number Theory' as well as G. Leobacher and F. Pillichshammer: 'Introduction to quasi-Monte Carlo integration and applications' and W. Willems: 'Codierungstheorie und Kryptographie'.
