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Groups and Geometry : Oxford Science Publications - Peter M. Neumann

Groups and Geometry

Oxford Science Publications

Paperback Published: 3rd February 1994
ISBN: 9780198534518
Number Of Pages: 264

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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.

'develops a comprehensive group-theoretic approach to affine, projective and inversive geometry ... It ends with a fascinating chapter on the group theory behind the Rubik cube.' Ian Stewart, New Scientist 'Both parts contain a number of exercises that will be invaluable to any reader wishing to gain a fuller understanding of this area of mathematics.' Extrait de L'Enseignement Mathematique, T. 40 1994 The book can be recommended warmly for any interested reader. "Monatshefte fur Mathematik No.3 1996. `delightful book ... The group theory is directed towards group actions, but all the basic material is there.' Mathematika, 41 (1994)

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

ISBN: 9780198534518
ISBN-10: 0198534515
Series: Oxford Science Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 264
Published: 3rd February 1994
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.44