Title of the Course: Basic Combinatorics
Instructor: Arif Mardin
Institution: –
Dates: 26 August – 1 September 2024
Prerequisites: Basic knowledge on sets, operations on them, mappings between sets and their properties.
Level: Advanced high-school students, first year undergraduates in mathematics, physics or engineering.
Abstract: The aim of this course is to familiarise the participants with the most basic counting techniques and their uses in different areas of mathematics, physics and computer science.
Topics such as mathematical induction, pigeonhole principle, permutations, arrangements, combinations, principle of inclusion-exclusion, partitioning of sets will be presented.
Language: EN
References:
1) Ali Nesin: “Matematiğe Giriş III: Sayma”, Nesin Matematik Köyü Yayınları, 5.Basım, 2013.
2) Ivan Niven: “Mathematics of Choice”, The Mathematical Association of America, 1965.
3) Miklos Bona: “A Walk Through Combinatorics”, 2nd edition, World Scientific, 2006.