Sylvester’s bijection

Course video 53 of 65

In this lecture we introduce partitions, i.e. the number of ways to present a given integer as a sum of ordered integer summands. There is no closed formula for the number of partitions; however, it is possible to compute their generating function. We study the properties of this generating function, including the famous Pentagonal theorem, due to Leonhard Euler.

Sobre o Coursera

Cursos, especializações e graduações on-line, ministradas pelos melhores instrutores das melhores universidades e instituições de ensino.

Join a community of 40 million learners from around the world
Earn a skill-based course certificate to apply your knowledge
Gain confidence in your skills and further your career