Introduction to Classical Geometries

• Main Authors: Galarza, Ana Irene Ramírez (Author), Seade, José (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Subjects: Mathematics.; Geometry.; Mathematics, general.

This book follows Felix 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, w...

Table of Contents:

• Euclidean geometry
• Affine geometry
• Projective geometry
• Hyperbolic geometry
• Appendices.