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OverviewThis is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed. This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study. Full Product DetailsAuthor: David A. Brannan (The Open University, Milton Keynes) , Matthew F. Esplen (The Open University, Milton Keynes) , Jeremy J. Gray (The Open University, Milton Keynes)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) ISBN: 9780511807503ISBN 10: 0511807503 Publication Date: 05 June 2012 Audience: College/higher education , Tertiary & Higher Education Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsPreface; Introduction; 1. Conics; 2. Affine geometry; 3. Projective geometry: lines; 4. Projective geometry: conics; 5. Inversive geometry; 6. Non-Euclidean geometry; 7. Spherical geometry; 8. The Kleinian view of geometry; Appendices; Index.Reviews'This is a textbook that demonstrates the excitement and beauty of geometry ... richly illstrated and clearly written.' Extrait de L'Enseignement Mathematique ' ... this is a remarkable and nicely written introduction to classical geometry.' Zentralblatt MATH ' ... could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, Times Higher Education Supplement 'This is a textbook that demonstrates the excitement and beauty of geometry ... richly illstrated and clearly written.' Extrait de L'Enseignement Mathematique ' ... this is a remarkable and nicely written introduction to classical geometry.' Zentralblatt MATH ' ... could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, The Times Higher Education Supplement Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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