[ 404ANDMANTV20 ] VL Applied Number Theory

Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS M1 - Master's programme 1. year Mathematics Arne Winterhof 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Computer Mathematics 2020W
Objectives introduction to relevant number theoretic results and methods as well as overview of applications of number theory
Subject 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.
Criteria for evaluation depending on the number of participants either oral or written tests
Methods blackboard talks; exercises to be discussed in the tutorials
Language English
Study material 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'.
Changing subject? No
On-site course
Maximum number of participants -
Assignment procedure Assignment according to priority