TY - BOOK AU - Pressley,Andrew TI - Elementary differential geometry T2 - Springer undergraduate mathematics series, SN - 1852331526 AV - QA641 .P68 2007 PY - 2007/// CY - London, New York PB - Springer KW - Geometry, Differential N1 - Includes index; Contents; Preface; 1. Curves in the Plane and in Space; 2. How Much Does a Curve Curve?; 3. Global Properties of Curves; 4. Surfaces in Three Dimensions; 5. The First Fundamental Form; 6. Curvature of Surfaces; 7. Gaussian Curvature and the Gauss Map; 8. Geodesics; 9. Minimal Surfaces; 10. Gauss's Theorema Egregium; 11. The Gauss-Bonnet Theorem; Solutions; Index ER -