A First Course in Differential Geometry: Surfaces in Euclidean Space

Author
Not available
Publisher
Cambridge University Press
Published
20181231
ISBN
9781108441025
ISBN registration area
English-language area (ISBN 978-1)

Description

This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem. It is suitable for upper-level undergraduates and contains plentiful examples and exercises, with solutions to selected problems.