Until Christmas I have decided to substitute my monthly favorites with a post about 3 great mathematicians born in the previous month. So, because today is the 1st of September, I have decided to write a little about 3 great mathematicians born in August. Enjoy!
John Venn, born on the 4th of August 1834, was an English logician and philosopher noted for introducing the Venn diagram, used in the fields of set theory, probability, logic, statistics, and computer science. Previously, I have written a post on Venn Diagrams. When it comes to mathematics we use the Venn diagrams especially with sets. It is very easy to understand any set operations using this diagrams. Basically we learn the definition of union, intersection, symmetric difference and any other things using the diagrams.
Arthur Cayley, born on the 16th August 1821, was a British mathematician. He helped found the modern British school of pure mathematics. As a child, it seems that he enjoyed solving complex maths problems for amusement. He postulated the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of a group in the modern way—as a set with a binary operation satisfying certain laws. Formerly, when mathematicians spoke of “groups”, they had meant permutation groups. Cayley’s theorem is named in honour of Cayley. Also, I have mentioned one of his theorems in the post Maths in “Good Will Hunting”.
Jacques Tits, born on the 12th of August 1930 (age 86), is a Belgium-born French mathematician who works on group theory and Incidence geometry, and who introduced Tits buildings, the Tits alternative, and the Tits group. Before over thinking about his surname, he did incredible work in understanding Lie Groups – a very important part of group theory – and many other applications.
Special mention for this month is Niels Abel. I did not want to write about him in this post because I have done that in the past: Niels Abel.
Don’t forget that maths is everywhere! Enjoy!