[ 201ZATHANTV23 ] VL Applied Number Theory

Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B3 - Bachelor's programme 3. year Mathematics Friedrich Pillichshammer 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2023W
Objectives This lecture provides an introduction to relevant number theoretic results and methods as well as an 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
Language English
Study material Lecture notes are provided.

For further reading we recommend in particular the textbooks:

H. Niederreiter and A. Winterhof: 'Applied Number Theory'

G. Leobacher and F. Pillichshammer: 'Introduction to quasi-Monte Carlo integration and applications'

W. Willems: 'Codierungstheorie und Kryptographie'.

Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
404ANDMANTV20: VL Applied Number Theory (2020W-2023S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment