Enumerative combinatorics, 7.5 ECTS

Second level

Description

The course covers basic methods of enumerative combinatorics. “The twelve- fold way”, sieve methods, for example various examples of inclusion-exclusion, the involution principle and determinant methods to count lattice paths. Different aspects of…

The course covers basic methods of enumerative combinatorics. “The twelve- fold way”, sieve methods, for example various examples of inclusion-exclusion, the involution principle and determinant methods to count lattice paths. Different aspects of the theory of partially ordered sets, for example lattice theory, Möbius inversion in posets and connections with topology.

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Area of interests: Information only in Swedish

Information only in Swedish

Subject

Mathematics

As a mathematical theory always implies that certain conclusions hold under certain given conditions, it can in principle say nothing about the physical reality. None the less mathematics has become an indispensable tool for a large number of subjects like astronomy, physics, chemistry, statistics and the technical sciences and in later times also for economy, biology, various social sciences and computor science. The role of mathematics in the applied sciences is both to supply notions for exact and adequate formulations of empirical laws but also from these laws to derive consequences, which can be used to find better models of the reality one has to describe. These tasks have lately become more important. Mathematics is in continual progress by intensive international research, new theories are created and already existing theories are simplified and augmented.

Mathematics

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