Abel, Niels Henrik

Passare, M., and Tsikh, A., Algebraic equations and hypergeometric series, in "Legacy of Niels Henrik Abel The Abel Bicentennial", Oslo, Springer, June 3-8, 653-672 (2002). 

After the Norwegian mathematician Niels Henrik Abel (1802-29), best Imown for his work on elliptic functions. 

After Niels Henrik Abel, 1802-1829, a great Norwegian mathematician, who was the first to show that a general fifth-degree algebraic equation cannot be solved by a radical expression. 

This was first derived by Isaac Newton in 1666. Remarkably, the binomial formula is also valid for negative, fractional, and even complex values of n, which was proved by Niels Henrik Abel in 1826. (It is joked that Newton did not prove the binomial theorem for noninteger n because he was not Abel.) Here are a few interesting binomial expansions that you can work out for yourself ... 

The ability to see order in chaos has won the mathematician Yakov G. Sinai the 2014 Abel Prize. The Prize, named after the Norwegian mathematician Niels Henrik Abel, is awarded annually by the Norwegian Academy of Science and Letters and is viewed by many as on par with the Nobel Prize. 

---