Description
Book SynopsisPopular with students and instructors alike, this accessible and highly readable undergraduate textbook has now been revised to include end-of-chapter summaries, more challenging exercises, new results and a list of further reading. Complete solutions to all of the exercises are also provided in a new Instructors' Manual available online.
Trade Review'This is a textbook that demonstrates the excitement and beauty of geometry … richly illustrated and clearly written.' L'Enseignement Mathématique
'… 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
'It conveys the beauty and excitement of the subject, avoiding the dryness of many geometry texts.' J. I. Hall, Mathematical Association of America
'To my mind, this is the best introductory book ever written on introductory university geometry … readers are introduced to the notions of Euclidean congruence, affine congruence, projective congruence and certain versions of non-Euclidean geometry (hyperbolic, spherical and inversive). Not only are students introduced to a wide range of algebraic methods, but they will encounter a most pleasing combination of process and product.' P. N. Ruane, MAA Focus
'… an excellent and precisely written textbook that should be studied in depth by all would-be mathematicians.' Hans Sachs, American Mathematical Society
Table of ContentsPreface; 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.
