Introduction to Classical Geometries
José Seade, Ana Irene Ramírez Galarza
Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
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.
Kundenbewertungen
algebra, hyperbolic geometry, calculus, classical geometry, geometry, euclidean geometry