Differential geometry

Author: Ying Yulin
Publisher:
Publish Date: 2006-01-01
Features: This book is divided into two chapters, Curves and Surfaces, and presents the local theory of classical differential geometry in three-dimensional Euclidean space. The main content includes: curvature and torsion of space curves, fundamental formulas and theorems of space curve theory; , second fundamental form, normal curvature and asymptotic lines, geodesic curvature and geodesics, fundamental formulas and theorems of surface theory. This book can be used as a reference for differential geometry courses in advanced normal universities and also as a self-study guide for self-taught examinations in higher education.