Articoli correlati a Groups: A Path to Geometry
Sinossi
This book follows the same successful approach as Dr Burn's previous book on number theory. It consists of a carefully constructed sequence of questions which will enable the reader, through his or her own participation, to generate all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationship to three-dimensional isometries are covered, and the climax of the book is a study of crystallographic groups, with a complete analysis of these groups in two dimensions.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
'There is much here of value both for students and for those who are seeking a refresher course in modern group theory.' The Times Higher Education Supplement
'... the author is encouraging throughout and patiently leads his audience to an understanding of the interplay between group theory and the classical geometry of two and three dimensions ... the author is a knowledgeable and considerate guide.' Mathematical Gazette
Contenuti
Preface; Acknowledgements; 1. Functions; 2. Permutations of a finite set; 3. Groups of permutations of R and C; 4. The Möbius group; 5. The regular solids; 6. Abstract groups; 7. Inversions of the Möbius 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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Risultati della ricerca per Groups: A Path to Geometry
Immagini fornite dal venditore
Groups: A Path to Geometry.
Editore:
Cambridge University Press, 1985
ISBN 10: 0521300371
ISBN 13: 9780521300377
Antico o usato
Rilegato
Prima edizione
Da: Plurabelle Books Ltd, Cambridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: Fair. 242p black hardback, laminated cover worn, part of spine chipped off, tape repaired, library stamps and shelf-marks, text is clean and unmarked pages, table of contents with a few ticks, binding good, overall good condition, hard to find title of worn appearance Language: English. Codice articolo 138336
Quantità: 1 disponibili
Foto dell'editore
Groups: A Path to Geometry
Editore:
Cambridge University Press, 1985
ISBN 10: 0521300371
ISBN 13: 9780521300377
Antico o usato
Rilegato
Da: Anybook.com, Lincoln, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:0521300371. Codice articolo 9288502
Quantità: 1 disponibili