When

Start: 02/14/2018 - 4:15pm

End : 02/14/2018 - 5:15pm

End : 02/14/2018 - 5:15pm

Category

Colloquium

Speaker

Bill Dunham (Bryn Mawr College)

Abstract

Without question, Leonhard Euler (1707-1783) ranks among the greatest mathematicians of all time. The remarkable quality of his achievement is matched only by the equally remarkable quantity of his achievement – indeed, Euler’s collected works contain over 25,000 pages of pure and applied mathematics. In this talk, we sketch his life and mention a handful of his contributions to the mathematical sciences – from number theory to analysis to geometry. Then we examine in detail his derivation, using integral calculus, of what is now known as “Euler’s identity” – i.e., e^{ix} = cos(x) + i*sin(x). This ingenious argument should make clear why Euler is regarded as such a towering figure from the history of mathematics.

NOTE: This talk should be accessible to anyone who has completed the calculus sequence.

Where

Freeberg Forum, LC 62, Kravis Center, CMC

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