Professor Flood gives a fabulous overvierw of the lives and work of two mathematicians, Hamilton and Boole: http://www.gresham.ac.uk/lectures-and-events/hamilton-boole-and-their-algebras
William Rowan Hamilton (1805-1865) revolutionized algebra with his discovery of quaternions, a non-commutative algebraic system, as well as his earlier work on complex numbers. George Boole (1815-1864) contributed to probability and differential equations, but his greatest achievement was to create an algebra of logic 'Boolean algebra'. These new algebras were not only important to the development of algebra but remain of current use.
The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/hamilton-boole-and-their-algebras
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