Generating functions: first examples - Introduction to Enumerative Combinatorics
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Generating functions: first examples - Introduction to Enumerative Combinatorics
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.
The course is mostly self-contained. However, some acquaintance with basic linear algebra and analysis (including Taylor series expansion) may be very helpful.
Do you have technical problems? Write to us: [email protected]
Great lectures and content. I really enjoyed it. However, the solutions exercises could be clearer and in more detail. Thank you!,Very good gourse, I persoally enjoyed the lectures in which the relatipnship with other areas of mathematics were discussed.
Generating functions: first examples - Introduction to Enumerative Combinatorics
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