2nd degree (Master)
Coordinator Office Hours:
Prof Dan Mangoubi
We follow the book Irrational numbers by I. Niven:
1) e is transcendental (Hermite, 1873)
2) pi is transcendental (Lindemann, 1882)
3) Liouville numbers
4) Continued franctions
5) Hilbert's seventh problem and Gelfond-Schneider's Theorem (1934) If a, b are algebraic then a^b is transcendental (unless a&eq;0 or 1).
Learning outcomes - On successful completion of this module, students should be able to:
Acquaintance with ideas of Diophantine approximation and Transcendental Number Theory.
Teaching arrangement and method of instruction:
Lectures by students
See course description.
Additional Reading Material:
Irrational Numbers, Niven.
Transcendental Numbers, Siegel.
The Theory of Numbers, Hardy and Wright.
End of year written/oral examination 0 %
Presentation 80 %
Participation in Tutorials 20 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %