This book develops the geometric intuition of the reader by examining the symmetries (or rigid motions) of the space in question. This approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. The main focus is on the mathematically rich two-dimensional case, although some aspects of 3- or $n$-dimensional geometries are included. Basic notions of algebra and analysis are used to convey better understanding of various concepts and results. Concepts of geometry are presented in a very simple way, so that they become easily accessible: the only pre-requisites are calculus, linear algebra and basic analytic geometry.
Table of Content
Euclidean geometry.- Affine geometry.- Projective geometry.- Hyperbolic geometry.- Appendices.
Language English ● Format PDF ● Pages 220 ● ISBN 9783764375188 ● Publisher Springer Basel ● City Basel ● Country CH ● Published 2007 ● Downloadable 24 months ● Currency EUR ● ID 5092291 ● Copy protection Adobe DRM
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