School of Technology and Computer Science Seminars

Transcendental Numbers and Liouville's Theorem

by Phani Raj Lolakapuri (School of Technology and Computer Science, TIFR)

Friday, January 29, 2016 from to (Asia/Kolkata)
at A-201 (STCS Seminar Room)
Description
In 1853, Liouville proved a fundamental result concerning approximations of algebraic numbers by rationals, which said one can't approximate algebraic numbers "well" using rationals. This enabled him to construct explicitly some transcendental numbers.

In this talk, we will discuss this result and an interesting way to construct transcendental numbers.