Differential Geometry of Curves and Surfaces /

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...

Full description

Bibliographic Details
Main Author: Tapp, Kristopher, 1971- (Author)
Format: Book
Language:English
Published: Cham : Springer, 2016
Series:Undergraduate texts in mathematics,
Subjects:
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