Geometry and Topology

by Miles Reid, Balazs Szendroi

Overview

Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple explanations and examples. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with exercises. Further teaching material is available via the web, including assignable problem sheets with solutions.

Product Details

ISBN-13:	9780521613255
Publisher:	Cambridge University Press
Publication date:	11/10/2005
Edition description:	New Edition
Pages:	216
Product dimensions:	6.69(w) x 9.61(h) x 0.47(d)

About the Author

Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick.

Balàzs Szendröi is a Tutor and Martin Powell Fellow in Pure Mathematics at St Peter's College, and a Faculty Lecturer in the Mathematical Institute, University of Oxford.

Table of Contents

Introduction; 1. Euclidean geometry; 2. Composing maps; 3. Non-Euclidean; 4. Affine geometry; 5. Projective geometry; 6. Geometry and group theory; 7. Topology; 8. Geometry of transformation groups; 9. Concluding remarks; A. Metrics; B. Linear algebra; References; Index.

Editorial Reviews

“A welcome addition to the undergraduate library. Highly recommended.” —Choice

From the Publisher