000 02629cam a2200361 a 4500
001 16887664
005 20170403161459.0
008 110725s2012 enka b 001 0 eng
010 _a 2011030683
020 _a9781107627888
040 _aDLC
042 _apcc
050 0 0 _aQA445
_b.B688 2012
082 0 0 _a516
084 _aMAT038000
100 1 _aBrannan, David A.
245 1 0 _aGeometry
_cDavid A. Brannan, Matthew F. Esplen, Jeremy J. Gray.
250 _a2nd ed.
260 _aNew York :
_bCambridge University Press,
300 _axiv, 587 p. :
_bill. ;
_c25 cm.
504 _aIncludes bibliographical resources and index.
505 8 _aMachine 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.
520 _a"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"--
650 0 _aGeometry.
650 7 _aMATHEMATICS / Topology
700 1 _aEsplen, Matthew F.
700 1 _aGray, Jeremy
856 4 2 _3Cover image
906 _a7
942 _2ddc
955 _bxj12 2011-07-25
_ixj12 2011-07-25 ONIX (telework) to Dewey
_axn03 2012-03-21 1 copy rec'd., to CIP ver.
999 _c14139