Differential Geometry of Curves and Surfaces

• Main Author: Tapp, Kristopher (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Differential geometry.; Differential Geometry.

This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and a...

Table of Contents:

• Introduction
• Curves
• Additional topics in curves
• Surfaces
• The curvature of a surface
• Geodesics
• The Gauss–Bonnet theorem
• Appendix A: The topology of subsets of Rn
• Recommended excursions
• Index.