SMS scnews item created by Sean Gardiner at Tue 12 May 2015 1200
Type: Seminar
Distribution: World
Expiry: 15 May 2015
Calendar1: 14 May 2015 1300-1400
CalLoc1: New Law 104
Auth: seangard@cpe-58-173-10-43.ecxf2.cht.bigpond.net.au (sgar9702) in SMS-WASM

SUMS: Lee -- Diophantine Analysis and Transcendental Numbers

This week’s SUMS talk is by Honours student David Lee.

Abstract:
Transcendental numbers are real or complex numbers that are not algebraic,
that is not a root of a non zero polynomial with rational coefficients.  The existence
of Transcendental numbers is not immediately obvious.  In fact the first proof that a
particular number has this property was discovered in the mid-19th century.

For this talk we are going to establish the connection between transcendental numbers
and approximation by rational numbers.  Whilst this connection may seem unusual at
first, it is a key approach in proving certain numbers are transcendental.


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