Introduction to Classical Geometries

Download or read book Introduction to Classical Geometries written by Ana Irene Ramírez Galarza and published by Springer Science & Business Media. This book was released on 2007-05-02 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.