## Beyond Complex: the Quaternions |

**Professor Jeffrey Jauregui**

Union College

October 28, 2014

5:00 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:45pm

The real numbers are very familiar to us, and the complex (real + imaginary) numbers slightly less so. But what if you attempted to explore beyond the imaginary numberby introducing an independent imaginary number,i? This problem puzzled William Hamilton in the mid-19th century until he was suddenly struck with the solution (which he famously carved into the Broome bridge in Dublin), thereby inventing a mathematical system known as the quaternions. Some natural questions are: What do you gain by passing beyond the complex numbers to the quaternions? What do you lose? How far can you push this construction? Why were quaternions such a hot topic in mathematics and physics for several decades? We will answer these questions and much more.j

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

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