Introduction to Classical Geometries - Couverture souple

Galarza, Ana Irene Ramírez

Couverture souple

ISBN 10 : 3764375175 ISBN 13 : 9783764375171

Editeur : Birkhäuser Basel, 2010

Synopsis

This book follows Klein's proposal for studying geometry by looking at 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. Numerous illustrations are included to reinforce understanding. Once plane geometry is well understood, it is much easier to go into higher dimensions. Therefore, the main focus of this text is on the mathematically rich two-dimensional case, although some aspects of 3- or $n$-dimensional geometries are included. The book appeals to, and helps to further develop the geometric intuition of the reader. Some basic notions of algebra and analysis are also used to convey more complete 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.

Détails de l'édition

• Éditeur: Birkhäuser Basel
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 3764375175
• ISBN 13: 9783764375171
• Reliure: Broché
• Nombre de pages: 232
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne