Upcoming SUMS

The statement of the Theorem is: "In any party of six people either at least three of them are (pairwise) mutual strangers or at least three of them are (pairwise) mutual acquaintances." In 1930, in a paper entitled 'On a Problem in Formal Logic,' Frank P. Ramsey proved a very general theorem of which this theorem is a simple case. This theorem of Ramsey forms the foundation of the area known as Ramsey theory in combinatorics. If time permits we will also see an application of colouring argument used in proving this Theorem to other problems.

The only pre-requisites are curiosity and an eagerness to learn!

We know that the real numbers are of two kinds, the rational and the irrational. There is another separation of the real numbers into two categories, the algebraic numbers and the transcendental numbers. A real number is said to be algebraic if it satisfies some algebraic equation with integer coefficient. If a number is not algebraic, it is said to be transcendental. In 1851, the French mathematician, Liouville, established that transcendental numbers exist. Liouville did this by exhibiting certain numbers which he proved to be non-algebraic.

All are cordially invited. There are no pre-requisites and high school level mathematics would be more than sufficient to appreciate the topic.

~MathematiX Club