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OverviewAvailable for the first time in published form, Groups and Geometry presents the Oxford Mathematical Institute notes for undergraduates and first year postgraduates. The content is guided by the Oxford syllabus but includes much more material than is included on the syllabus. This book is about the measurement of symmetry: covering groups and geometry with the symbiotic relationship between the two more than justifying the union. A number of exercises are included in this sylish text to help the reader gain a full understanding of this branch of mathematics. Full Product DetailsAuthor: Peter M. Neumann , Gabrielle A. Stoy , Edward C. Thompson , Edward C. ThompsonPublisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 15.60cm , Height: 1.50cm , Length: 23.20cm Weight: 0.428kg ISBN: 9780198534518ISBN 10: 0198534515 Pages: 264 Publication Date: 03 February 1994 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: 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 IndexReviews'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) '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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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