2010年7月23日 星期五

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

By Patrick Wong, HKUST

Date: July 27, 2010. (Tuesday)
Time: 6:00pm-7:30pm
Venue: Room 4504 (near Lifts 25 & 26) , HKUST
Target Audience: Students with basic algebra background

Abstract: The famous problems of squaring the circle, doubling the cube, and trisecting the angle have not yielded to purely geometrical methods. It was, however, the development of abstract algebra in the nineteenth century which enabled mathematicians to conclude that these constructions are not possible. We are going to look at the way how algebra solve the geometric problems.

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