**Rüdiger Thiele, University of Leipzig**

**August 8, 2007**

Nowadays, the idea of function pervades mathematics, and math students readily recognize the notation *f*(*x*) as representing a function. But it took centuries for mathematicians to go from the use of algebraic expressions for describing certain curves to the general notion of formulas (or functions) as stand-alone objects of considerable mathematical interest in themselves. Leonhard Euler (1707-1783) played a fundamental role in making the function one of the central objects of mathematics.

On Aug. 8, an audience of Euler enthusiasts at the MAA's Carriage House Conference Center heard mathematician and historian Rüdiger Thiele of the University of Leipzig speak about Euler's work on functions. Thiele's lecture, titled "How Euler Changed Analysis," focused on Euler's efforts to broaden and apply the notion of a function in a variety of mathematical contexts.