Overview
- Presents all the classical geometries in a unified way, with many illustrations, thus making their understanding easier
- Though the proofs and arguments are in general absolutely rigorous, emphasis is put on the concepts and the ideas, not on the technical difficulties
- Presentation of several advanced concepts of geometry in a very simple way, so that they become easily accessible: the only pre-requisites are calculus, linear algebra and basic analytic geometry
- Many interesting problems given as exercises
- Wide bibliography for further reading
- Using elementary mathematics, more advanced concepts such as manifolds and Lie groups, group actions, curvature and foliations are introduced
- Includes supplementary material: sn.pub/extras
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
Keywords
About this book
Reviews
From the reviews:
“This book offers an introduction to classical geometry. … The book contains many figures, which help the reader to develop geometric intuition, and lots of exercises. To follow the presentation, only a basic background in analysis and linear algebra is required, some necessary facts are collected in an appendix.” (A. Cap, Monatshefte für Mathematik, Vol. 158 (2), October, 2009)
Authors and Affiliations
Bibliographic Information
Book Title: Introduction to Classical Geometries
Authors: Ana Irene Ramírez Galarza, José Seade
DOI: https://doi.org/10.1007/978-3-7643-7518-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Softcover ISBN: 978-3-7643-7517-1Published: 20 March 2007
eBook ISBN: 978-3-7643-7518-8Published: 02 May 2007
Edition Number: 1
Number of Pages: X, 220
Additional Information: Original Spanish edition published by Las Prensas de Ciencia of the Universidad Nacional Autónoma de M'exico
Topics: Geometry, Mathematics, general