Ellen Selling: Förenkling Lindemann-Weierstrass sats / Simplification of Lindemann-Weierstrass theorem
Fri 2018-06-15 09.00 - 10.00
Location: Room 14, House 5, Kräftriket, Department of Mathematics, Stockholm University
Ellen Selling (BSc student)
In this thesis Lindemann-Weierstrass theorem will be discussed. The theorem, its proof and some of its consequences will be explained.
Lindemann-Weierstrass theorem is in transcendental number theory useful to determine if some numbers are transcendental. One of the consequences of this result is that the classical constants pi and e are transcendental.
The purpose with this thesis is to explain the theorem, the proof and the consequences in such a way that it could be easily understood by a reader who studied mathematics about one year at a university level.
This will be done by explaining the background knowledge needed to understand the theorem and go through the lemmas needed for the proof of the theorem.