Authors:
- A revised and expanded second edition which presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject.
- Includes supplementary material: sn.pub/extras
- Request lecturer material: sn.pub/lecturer-material
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (13 chapters)
-
Front Matter
-
Back Matter
About this book
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.
New features of this revised and expanded second edition include:
- Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
- Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com ul
Authors and Affiliations
-
Department of Mathematics, King’s College London, London, UK
Andrew Pressley
About the author
Andrew Pressley is Professor of Mathematics at King’s College London, UK.
Bibliographic Information
Book Title: Elementary Differential Geometry
Authors: Andrew Pressley
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-1-84882-891-9
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2010
Softcover ISBN: 978-1-84882-890-2Published: 18 March 2010
eBook ISBN: 978-1-84882-891-9Published: 10 March 2010
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 2
Number of Pages: XII, 474
Number of Illustrations: 150 b/w illustrations
Topics: Differential Geometry