02727cam a2200361 a 4500 0 0 ddc 0 0 MATHEMATICS MES MES MAT 2021-09-24 34 543.75 19 20 516 BRA/G 41201 2025-08-16 11:29:54 2025-07-07 750.00 2021-09-24 BK GL25R3 41160 41160 16887664 OSt 20210702115008.0 110725s2012 enka b 001 0 eng 2011030683 9781107627888 DLC DLC DLC pcc QA445 .B688 2012 516 23 BRA/G MAT038000 bisacsh Brannan, D. A. 8621 Geometry / David A. Brannan, Matthew F. Esplen, Jeremy J. Gray. 2nd ed. Cambridge ; New York : Cambridge University Press, 2012. xiv, 587 p. : ill. ; 25 cm. Includes bibliographical resources and index. Machine generated contents note: Preface; Introduction: geometry and geometries; 1. Conics; 2. Affine geometry; 3. Projective geometry: lines; 4. Projective geometry: conics; 5. Inversive geometry; 6. Hyperbolic geometry: the disc model; 7. Elliptic geometry: the spherical model; 8. The Kleinian view of geometry; Special symbols; Further reading; Appendix 1. A primer of group theory; Appendix 2. A primer of vectors and vector spaces; Appendix 3. Solutions to the problems; Index. "This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831"-- Provided by publisher. Geometry. MATHEMATICS / Topology bisacsh. Esplen, Matthew F. Gray, Jeremy, 1947- Cover image http://assets.cambridge.org/97811076/47831/cover/9781107647831.jpg 7 cbc orignew 1 ecip 20 y-gencatlg ddc BK 516 BRA/G 516 BRA/G