L.M. Woodward
A First Course in Differential Geometry
Woodward, L.M.; Bolton, J.
Abstract
This book, which is aimed at senior undergraduate students, provides an introduction to the differential geometry of surfaces in Euclidean space. Topics include Gaussian curvature, Theorema Egregium, geodesics, Gauss-Bonnet Theorem. There is a final more advanced chapter on minimal surfaces.
Citation
Woodward, L., & Bolton, J. (2018). A First Course in Differential Geometry. Cambridge University Press
Book Type | Authored Book |
---|---|
Publication Date | Nov 29, 2018 |
Deposit Date | Oct 31, 2018 |
Publisher | Cambridge University Press |
ISBN | 9781108441025 |
Keywords | differential geometry, surfaces, Gaussian curvature, Theorema Egregium, geodesics, Gauss-Bonnet Theorem |
Public URL | https://durham-repository.worktribe.com/output/1121942 |
Publisher URL | https://www.cambridge.org/gb/academic/subjects/mathematics/geometry-and-topology/first-course-differential-geometry-surfaces-euclidean-space?format=PB |
Additional Information | There are many exercises, with outline solutions given to 1/3 of these. There is also an on-line solutions manual available to lecturers adopting the textbook for their class. |
You might also like
Transforms for minimal surfaces in the 5-sphere
(2007)
Journal Article
The space of harmonic two-spheres in the unit four-sphere
(2006)
Journal Article
Ruled minimal Lagrangian submanifolds of complex projective 3-space
(2005)
Journal Article
Toda equations and Pluecker formulae
(2003)
Journal Article
From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space
(2002)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2025
Advanced Search