Geometry
Provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced.
eBook, English, ©2001
American Mathematical Society, Providence, R.I., ©2001
1 online resource (xi, 257 pages : illustrations).
9781470428976, 9781470425432, 1470428970, 1470425432
0065-9282
1037838111
IntroductionThe Euclidean worldThe affine worldThe projective worldConics and quadricsThe world of non-Euclidean geometriesThe infinite-dimensional worldAddendumSolutions, hints, and answersBibliographyAuthor indexSubject index