هندسة تفاضلية - DIFFERENTIAL GEOMETRY
- رمز المقرر:
- MATH 3463
- اسم المقرر:
- هندسة تفاضلية - DIFFERENTIAL GEOMETRY
- :المعتمدة الساعات
- 3
- المتطلبات السابقة:
- تفاضل و تكامل 4 ( ريض 3214 ) - Calculus IV ( MATH 3214 ) ، جبر خطي ( ريض 3241 ) - Linear Algebra ( MATH 3241 )
عن المقرر
Euclidean 3-space - the theory of curves in the space- Direction fields – Frenet frame- Variable variants of Frenet frame - Curvature and torsion of the curve - Some special curves in the space and their properties - Local surface theory - curves on the surface - The First Fundamental Form, the Second Fundamental Form - Principal Directions and Principal Curvatures - Curvature lines - Convergent lines - Geodesic curves on the surface- Christoffel Symboles – Codazzi and Gauss Equations.
الكتب المقررة:
Main Textbook: Shifrin, T., Differential Geometry: A First Course in Curves and Surfaces, Preliminary Version, 2016 Subsidiary Books: Talpaert, Y., Differential Geometry with Applications to Mechanics and Physics, 1st Edition, CRC Press, 2000. Kreyszig, E., Differential Geometry, 1st Edition, Dover Publications, 1991.
