By Ana Irene Ramírez Galarza, José Seade
This booklet develops the geometric instinct of the reader via reading the symmetries (or inflexible motions) of the gap in query. This method introduces in flip the entire classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. the main target is at the mathematically wealthy two-dimensional case, even supposing a few facets of three- or $n$-dimensional geometries are integrated. easy notions of algebra and research are used to exhibit higher figuring out of varied techniques and effects. techniques of geometry are provided in an easy approach, in order that they turn into simply available: the one pre-requisites are calculus, linear algebra and simple analytic geometry.