Kumaresan S., Santhanam G. An Expedition to Geometry

Hindustan Book Agency (India), 2005. — 242 p. — (Texts and Readings in Mathematics 30) — ISBN: 978-81-85931-50-0.This book is written as an attempt to entice the students of mathematics to the world of geometry. In spite of the great strides made in modern geometry at research level, there is no introductory book which gives modern aspects of geometry at undergraduate/graduate level. Our book is an attempt to fill this vacuum. In this endeavor, we have taken great care in the selection of topics and their treatment. Our guiding principles are
- to cultivate geometrie intuition in readers,
- to give a panoramic view of various facets of geometry,
- to give a modern treatment of intuitively appealing classical results, and
- to employ as much as possible the methods which are close to the ones adopted in contemporary geometry.Affine Geometry
Projective Geometry
Classification of Conies
Euclidean Geometry
Hyperbolic Plane Geometry
Spherical Plane Geometry
Theory of Surfaces