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"Groups and Geometry" contains the Oxford Mathematical Institute
notes for undergraduates and first-year postgraduates. The content,
although guided by the Oxford syllabus, covers other material, some
introductory and some that, because of limited time, had to be
excluded from or curtailed in the syllabus. This book is about the
measurement of symmetry, which is what groups are for. Symmetry is
visable in all parts of mathematics and in many other areas, and
geometrical symmetry is the most visable of all. For this reason,
groups and geometry are close neighbours. The first half of the
book (chapters 1-9) covers groups and the second half (chapters
10-18) covers geometry, with the symbiotic relationship between the
two more than justifying the union. Both parts contain a number of
exercises that should be helpful to the reader wishing to gain a
fuller understanding of this area of mathematics.
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