Combinatorics Unit
Combinatorics is a branch of mathematics which is about counting – and we will discover many exciting examples of “things” you can count.
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Leonhard Euler (1707 - 1783)
The first combinatorial problems were studied by ancient Indian, Arabian, and Greek mathematicians. Interest in the subject increased during the 19th and 20th century, together with the development of graph theory and problems like the four color theorem.  Some of the leading mathematicians to study combinatorics included Blaise Pascal (1623 – 1662), Jacob Bernoulli (1654 – 1705) and Leonhard Euler (1707 – 1783).


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Combinatorics also has many applications in other areas of mathematics, including graph theory, coding and cryptography, and probability.
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Blaise Pascal (1623 - 1662)
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Jacob Bernoulli (1654 - 1705)
Lecture Notes & Other Resources
TENTATIVE SCHEDULE FOR THE UNIT
Combinatorics - Day 1
Introduction to the Partition Function P(n)

The Hardy-Ramanujan Asymptotic Partition Formula

An Online Partition Number Generator

G.H. Hardy and Ramanujan Research Project

MOVIE TRAILER: The Man Who Knew Infinity
The Man Who Knew Infinity: A Life of the Genius Ramanujan is a biography of the Indian mathematician Srinivasa Ramanujan. The movie gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy.
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Srinivasa Ramanujan (1887 - 1920)
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G. H. Hardy (1887 - 1947)