UPC: 9783540120537 | Universitext: Notes on Geometry (Paperback)

UPC lookup results for: 9783540120537 | Universitext: Notes on Geometry (Paperback)

In recent years geometry has played a lesser role in undergraduate courses than it has ever done. Nevertheless it still plays a leading role in mathematics at a higher level. Its central role in the history of mathematics has never been disputed. It is important therefore to introduce some geometry into university syllabuses. There are several ways of doing this it can be incorporated into existing courses that are primarily devoted to other topics it can be taught at a first year level or it can be taught in higher level courses devoted to differential geometry or to more classical topics. These notes are intended to fill a rather obvious gap in the literature. It treats the classical topics of Euclidean projective and hyperbolic geometry but uses the material commonly taught to undergraduates: linear algebra group theory metric spaces and complex analysis. The notes are based on a course whose aim was two fold firstly to introduce the students to some geometry and secondly to deepen their understanding of topics that they have already met. What is required from the earlier material is a familiarity with the main ideas specific topics that are used are usually redone.