Transcendental Numbers and Liouville's Theorem

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

Friday 29 Jan 2016, 16:00 → 17:00 Asia/Kolkata

A-201 (STCS Seminar Room)

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.