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.
A First Course in Differential Geometry: Surfaces in Euclidean Space Edition by Lyndon Woodward; John Bolton and Publisher Cambridge University Press. Save up to 80% by choosing the eTextbook option for ISBN: 9781108582049, 1108582044. The print version of this textbook is ISBN: 9781108424936, 1108424937.
