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.
Innehållsförteckning
Euclidean geometry.- Affine geometry.- Projective geometry.- Hyperbolic geometry.- Appendices.
Språk Engelska ● Formatera PDF ● Sidor 220 ● ISBN 9783764375188 ● Utgivare Springer Basel ● Stad Basel ● Land CH ● Publicerad 2007 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 5092291 ● Kopieringsskydd Adobe DRM
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