Cover Image

Elementary differential geometry /

Show other versions (2)

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus tech...

Full description

Bibliographic Details
Main Author: Pressley, Andrew
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London ; New York : Springer, [2001]
Series:Springer undergraduate mathematics series.
Subjects:
Geometry, Differential.
Geometri, Diferansiyel.
Géométrie différentielle.
Geometria diferencial.
Differentialgeometrie.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Curves in the Plane and in Space
  • How Much Does a Curve Curve?
  • Global Properties of Curves
  • Surfaces in Three Dimensions
  • The First Fundamental Form
  • Curvature of Surfaces
  • Gaussian Curvature and the Gauss Map
  • Geodesics
  • Minimal Surfaces
  • Gauss's Theorema Egregium
  • The Gauss-Bonnet Theorem.