Introduction to Enumerative Combinatorics

2024/2025

Учебный год

ENG

Обучение ведется на английском языке

6

Кредиты

Кто читает:

Факультет математики

Статус:

Курс по выбору

Когда читается:

3-й курс, 1, 2 модуль

Преподаватель

Семенов Павел Владимирович

Course Syllabus

Abstract

Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed. In the first part of our course we will be dealing with elementary combinatorial objects and notions: permutations, combinations, compositions, Fibonacci and Catalan numbers etc. In the second part of the course we introduce the notion of generating functions and use it to study recurrence relations and partition numbers