Introduction to Classical Geometries free download online
Title: Introduction to Classical Geometries Author(s): Ana Irene Ramirez Galarza, Jose Seade Pages: 264 Publisher: Birkhauser Basel; 1 edition Publication date: 2007 Language: English Format: PDF ISBN-10: 3764375175 ISBN-13: Description: This book follows Klein's proposal of studying geometry by looking at the symmetries (or rigid motions) of the space in question. In this way the classical geometries are studied: Euclidean, affine, elliptic, projective and hyperbolic. For simplicity the focus is on the two-dimensional case, which is already rich enough, though some aspects of the 3 or $n$-dimensional geometries are included. Once plane geometry is well understood, it is much easier to go into higher dimensions.
The book appeals to, and develops, the geometric intuition of the reader. Some basic notions of algebra and analysis are also used to get better understandings of various concepts and results.
Introduction to Classical Geometries free download links:
Title: Introduction to Classical Geometries