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..
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