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Durham University

Department of Mathematical Sciences


Publication details for Dr John Bolton

Woodward, L.M. & Bolton, J. (2018). A First Course in Differential Geometry. Cambridge University Press.

Author(s) from Durham


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.


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.