Robin Johansson: Möbiustransformationer

Abstract.

This essay is aboust Möbius transformations. Student in the swedish school gets introduced to complex numbers in the late stage of upper secondary school. We start this essay with repeating the basics of complex numbers, this to be sure that everyone is on the same level knowlege wise. After that we go into Möbius transformations, an area of matematics were complex number are getting used for something else than finding roots for negative numbers. My wish is that this essay will be used as a compendium for the course Matematik - Specialisering were I think student will find the combination of linear algebra and translations will intrigued.