By Ana Irene Ramírez Galarza,José Seade
This publication develops the geometric instinct of the reader via interpreting the symmetries (or inflexible motions) of the distance in query. This strategy introduces in flip all of the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. the focus is at the mathematically wealthy two-dimensional case, even if a few elements of three- or $n$-dimensional geometries are incorporated. uncomplicated notions of algebra and research are used to show higher realizing of varied techniques and effects. suggestions of geometry are awarded in an easy manner, so they turn into simply available: the one pre-requisites are calculus, linear algebra and simple analytic geometry.
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Introduction to Classical Geometries by Ana Irene Ramírez Galarza,José Seade