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Groups: A Path to Geometry

R.P. Burn
Publisher: 
Cambridge University Press
Publication Date: 
1987
Number of Pages: 
254
Format: 
Paperback
Price: 
31.99
ISBN: 
5213479390
Category: 
General
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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Preface; Acknowledgements; 1. Functions; 2. Permutations of a finite set; 3. Groups of permutations of R and C; 4. The M”bius group; 5. The regular solids; 6. Abstract groups; 7. Inversions of the M”bius plane and stereographic projection; 8. Equivalence relations; 9. Cosets; 10. Direct product; 11. Fields and vector spaces; 12. Linear transformations; 13. The general linear group GL(2, F); 14. The vector space V3 (F); 15. Eigenvectors and eigenvalues; 16. Homomorphisms; 17. Conjugacy; 18. Linear fractional groups; 19. Quaternions and rotations; 20. Affine groups; 21. Orthogonal groups; 22. Discrete groups fixing a line; 23. Wallpaper groups; Bibliography; Index.

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