Algebra and discrete mathematics



In the course Set theory and algebra (2WF40) you came across calculations with integers, polynomials and permutations. These calculations were carried out in an algebraic structure, a set with a number of algebraic operations, such as permutations, the integers or a polynomial ring. In the present course we focus on an abstract set-up of such algebraic structures and concentrate mainly on so-called groups, rings, fields and some algorithmic aspects. The abstract approach helps for instance in recognizing common aspects in various concrete settings. Such structures are used in a variety of branches of science like mathematics (e.g., cryptography), physics (e.g., string theory), chemistry (e.g., crystallography) and belong to the core of mathematics. The course 2WF70 is a sequel to this course. The elective course 2WF80 Introduction to Cryptology uses various concepts discussed in 2WF50.
Course period1/09/12 → …
Course levelDeepening
Course formatCourse