02883cam 2200373 a 450000100090000000300060000900500170001500800410003201000170007302000180009004000180010804200080012605000220013408200190015608400230017510000220019824500670022025000120028726000530029930000340035250400500038650504880043652009880092465000140191265000370192670000230196370000170198685600840200390600450208794200120213295501060214499900170225095202420226716887664IIITD20170403161459.0110725s2012 enka b 001 0 eng a 2011030683 a9781107627888 aDLCcDLCdDLC apcc00aQA445b.B688 201200a516223bBRA-G aMAT0380002bisacsh1 aBrannan, David A.10aGeometrycDavid A. Brannan, Matthew F. Esplen, Jeremy J. Gray. a2nd ed. aNew York :bCambridge University Press,cĂ2012. axiv, 587 p. :bill. ;c25 cm. aIncludes bibliographical resources and index.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. 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"-- 0aGeometry. 7aMATHEMATICS / Topology2bisacsh.1 aEsplen, Matthew F.1 aGray, Jeremy423Cover imageuhttp://assets.cambridge.org/97811076/47831/cover/9781107647831.jpg a7bcbccorignewd1eecipf20gy-gencatlg 2ddccBK bxj12 2011-07-25ixj12 2011-07-25 ONIX (telework) to Deweyaxn03 2012-03-21 1 copy rec'd., to CIP ver. c14139d14139 00102ddc406516_000000000000000_BRAG708MATH919713aIIITbIIITcGENd2017-04-03g458.15o516 BRA-Gp007435r2017-04-03v595.00w2017-04-03yBKeTB4808f2017-03-27jIIITD/LIC/BS/2015/05/53k2017-03-23xTechnical Bureau India Pvt. Ltd.