Groups and Geometry
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Groups and Geometry

Groups and Geometry


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About the Book

Available for the first time in published form, Groups and Geometry contains the Oxford Mathematical Institute notes for undergraduates and first-year postgraduates, although guided by the Oxford syllabus much other material is also included. Symmetry is visable in all parts of mathematics, and in many other areas, and geometrical symmetry is the most visible of all. For this reason, groups and geometry are such close neighbours. Also included are a number of exercises that will be invaluable to any reader wishing to gain a fuller understanding of this area of mathematics.

Table of Contents:
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

Review :
'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)


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Product Details
  • ISBN-13: 9780198534518
  • Publisher: Oxford University Press
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 428 gr
  • ISBN-10: 0198534515
  • Publisher Date: 03 Feb 1994
  • Height: 232 mm
  • No of Pages: 264
  • Spine Width: 15 mm
  • Width: 156 mm


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