19

Catalan Numbers

  • Lu De
  • 32 videos
  • 1,109 views
  • Last updated on Oct 14, 2012
The word "counting" in the title refers to sophisticated counting, or combinatorial techniques in mathematics.There is some wordplay in the title as well.
A brief discussion of the associative law in algebra leads to an interesting and far-reaching combinatorial question. The solution to this problem (19th century) consists of a sequence of natural numbers (Catalan numbers) that occurs in many other combinatorial situations, in particular a convex polygon triangularization problem solved by Euler (18th century). References are given which provide additional proof techniques and accounts of many problems equivalent to the problem in this talk.
The word "counting" in the title refers to sophisticated counting, or combinatorial techniques in mathematics.There is some wordplay in the title as well.
A brief discussion of the associative law in algebra leads to an interesting and ...
Play all

Loading...

to add this to Watch Later

Add to

Loading playlists...