Скачать или смотреть The Combinatorics Roadmap (How to Get Started in Combinatorics)

The Combinatorics Roadmap is a collection of mini-classes covering the most basic of to the more complex combinatorics. Learning the basics of the exciting field of combinatorics. I'll walk you through the basics you need to understand in order to master combinatorics in this video. I'll give you a clear and concise road map to help you navigate this challenging and interesting field, from the fundamentals of combinatorial reasoning to diving into more complex subjects. This video is intended to give you a good foundation in combinatorics and encourage you to explore its many wonders further, regardless of whether you're a student or just an avid maths enthusiast.

Contents:
0:32 Level 0 - Sets
3:08 Level 1 - Sum & Product Rules
4:40 Level 2 - Permutations
7:14 Level 3 - Variations
9:50 Level 4 - Ring Permutations
12:35 Level 5 - Generalized Permutations
14:37 Level 6 - Combinations
20:05 Level 7 - Pascal's Triangle
22:30 Level 8 - The Binomial Theorem
27:42 Level 9 - Generalized Combinations
31:05 Level 10 - The Multinomial Theorem.
32:52 Level 11 - Repeatable Permutation and Variation
34:14 Level 12 - Repeatable Combinations (Balls and Urns)
37:22 Level 13 - The Pigeonhole Principle
40:37 Level 14 - The Principle of Inclusion-Exclusion (PIE)
44:29 Level 15 - Derangements

Big thanks to my dear friend ‪@Awyyn‬ for providing the awesome music in this video! Please check out her other works. Her tunes made the Combinatorics Roadmap even more enjoyable. 🙌