Christoffer Engqvist: Sfärisk Geometri
Time: Tue 2019-01-29 13.30 - 14.30
Location: Room 32, House 5, Kräftriket, Department of Mathematics, Stockholm University
Respondent: Christoffer Engqvist
Supervisor: Rikard Bögvad
Abstract: The purpose of this essay is to introduce the reader to spherical geometry. Firstly, the sphere is introduced by explaining concepts, theorems are proves and formulas are derived. The essay then moves on to prove the spherical equivalent to Pythagorean theorem, and furthermore the cosine theorem that is later one utilized in different examples of navigation. Finally, the essay ends with proving a formula for a triangle’s area on the sphere.
Jag vill rikta ett tack till Rikard Bögvad som varit min handledare genom detta arbete.
Förutom Rikard vill jag även rikta ett tack till min studiekamrat Oskar Nilsson.