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Wednesday, October 12, 2011

Math 499: Introduction to Graduate Mathematics
4:00 pm   in 245 Altgeld Hall,  Wednesday, October 12, 2011
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Submitted by seminar.
George Francis (Department of Mathematics, University of Illinois)
Mathematical Visualization
Abstract: Mathematical Visualization (mathviz for short) is almost a mathematical discipline despite its frivolous name. As old as Euclid's Elements, where figures first appear in a systematic way to illustrate geometrical theorems, it reached an uprecedented level of importance in the late renaissance, when artists discovered the rules of linear perspective, inadvertently laying the foundation of projective geometry, and thus, of non-Euclidean geometry. It rose to another zenith in the late 19th century with algebraic geometers and analysts determined to provide the imagination assistance with plaster and string, as preserved in our Altgeld model cases. Mathviz (barely) survived the iconoclastic age of Bourbaki, to again burst into flower in the information age. My talk concerns this latest chapter, concentrating on areas of mathematics that simply could not be investigated without computer graphics, but also with some practical advice on more mundane aspect of this "new kind of mathematics".