Peter M. Neumann, Gabrielle A. Stoy, Edward C. Thompson

Groups and Geometry

• Broschiertes Buch

Produktbeschreibung

This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and first-year graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the fundamentals of groups, and the second covers geometry and its symbiotic relationship with groups. Both parts contain a number of useful examples and exercises. This book will be welcomed by student and teacher alike as a lucidly written text on an important topic.

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Produktdetails

• Verlag: OUP Oxford
• Seitenzahl: 268
• Erscheinungstermin: 1. Februar 1994
• Englisch
• Abmessung: 234mm x 156mm x 15mm
• Gewicht: 412g
• ISBN-13: 9780198534518
• ISBN-10: 0198534515
• Artikelnr.: 21644090

Inhaltsangabe

1: A survey of some group theory
2: A menagerie of groups
3: Actions of groups
4: A garden of G-spaces
5: Transitivity and orbits
6: The classification of transitive G-spaces
7: G-morphisms
8: Group actions in group theory
9: Actions count
10: Geometry: an introduction
11: The axiomatisation of geometry
12: Affine geometry
13: Projective geometry
14: Euclidean geometry
15: Finite groups of isometries
16: Complex numbers and quaternions
17: Inversive geometry
18: Topological considerations
19: The groups theory of Rubik's magic cube
Index