Thomas F. Banchoff | Akateeminen Kirjakauppa

This textbook is intended for a one-semester undergraduate course in the differential geometry of curves and surfaces, assuming only multivariable calculus and linear algebra. The book culminates with the celebrated Gauss-Bonnet Theorem and applications to spherical and hyperbolic geometry. Online interactive computer graphics applets coordinated with each section form an integral part of the exposition. The applets allow teachers and students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena. Each section includes exercises that range from straight-forward to challenging.