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Hyperbolic Geometry

When you'll study it
Semester 1
CATS points
15
ECTS points
7.5
Level
Level 7
Module lead
Nansen Petrosyan

Module overview

This is a structured self-study module designed for MMath students in their fourth year. In this module, we take a guided tour of the hyperbolic plane, H, exploring its geometry and the group preserving its geometric structure. The hyperbolic plane arises in several contexts, most publicly in the etchings of MC Escher. We begin with a brief review of topology on Rn, to set the stage, before embarking on the actual tour of the hyperbolic plane. We will examine several realizations of H and explore the connections between them. We will classify the isometries of H, which are the maps from H to H preserving both angle and length, and close by considering area and trigonometry in H

Linked modules

Pre-requisites: MATH2003 and MATH2049

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