| 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
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| 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.
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| Criteria for evaluation |
depending on the number of participants either oral or written tests
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| Methods |
blackboard talks; exercises to be discussed in the tutorials
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| 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'.
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| Changing subject? |
No |
