Introduction to Classical Geometries (Repost)
Ana Irene Ramírez Galarza, José Seade, "Introduction to Classical Geometries"
2007 | pages: 225 | ISBN: 3764375175 | PDF | 6,3 mb
2007 | pages: 225 | ISBN: 3764375175 | PDF | 6,3 mb
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.
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