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Notes on Geometry (Paperback, 1st ed. 1983. 6th printing 2005. 2005)
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Notes on Geometry (Paperback, 1st ed. 1983. 6th printing 2005. 2005)
Series: Universitext
Expected to ship within 10 - 15 working days
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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.
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