應用數學(五)(幾何與拓樸)

課程綱要 (幾何與拓樸) 李仁吉老師 References: Lecture Notes on “NYCU String Theory Group” 網站 I. Gauss Geometry and Riemann Geometry • Curves and Surfaces in E^3 • The first fundamental form • The second fundamental form • The Gauss curvature and the “Theorema Egregium” • The Riemann curvature tensor • Gauss-Bonnet Theorem • Manifolds • 物理應用 II. Modern Geometry • Integration of Differential forms on Manifolds • Homology Group and Cohomology group • Complex Manifolds • 物理應用