### Robert Corless

##### Department of Applied Mathematics, University of Western Ontario

##### 1:00pm Thursday May 20th, in AQ 3181

## The Lambert W Function in Science

Talk (Maple Worksheet)
### Abstract

The Lambert W function has had its name for just over ten years
now. But, it has been studied since the time of Euler (1759), and has
been used in a remarkable variety of applications. While it was nameless,
people had a strong tendency to reinvent results. Since its naming, that
tendency has been greatly reduced---though not eliminated. Easy access to
facts about this function, via computer algebra systems and the web, have
increased the number of applications significantly in the last ten years.
In this talk we survey some of the applications of this function, give a
little bit of its history, and lightly examine some of its mathematical
properties. There is a substantial body of material to choose from for
this talk, and we will not even try to do it all; instead what is offered
is a series of vignettes of essentially 19th century mathematics doing its
job in the 21st.