Book contents
- Frontmatter
- Contents
- Introduction
- PART A Prelude and themes: Synthetic methods and results
- PART B Development: Differential geometry
- 6 Curves
- 7 Curves in space
- 8 Surfaces
- 8bis: Map projections
- 9 Curvature for surfaces
- 10 Metric equivalence of surfaces
- 11 Geodesies
- 12 The Gauss–Bonnet theorem
- 13 Constant-curvature surfaces
- PART C Recapitulation and coda
- Riemann's Habilitationsvortrag: On the hypotheses which lie at the foundations of geometry
- Appendix: Notes on selected exercises
- Bibliography
- Symbol index
- Name index
- Subject index
12 - The Gauss–Bonnet theorem
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Introduction
- PART A Prelude and themes: Synthetic methods and results
- PART B Development: Differential geometry
- 6 Curves
- 7 Curves in space
- 8 Surfaces
- 8bis: Map projections
- 9 Curvature for surfaces
- 10 Metric equivalence of surfaces
- 11 Geodesies
- 12 The Gauss–Bonnet theorem
- 13 Constant-curvature surfaces
- PART C Recapitulation and coda
- Riemann's Habilitationsvortrag: On the hypotheses which lie at the foundations of geometry
- Appendix: Notes on selected exercises
- Bibliography
- Symbol index
- Name index
- Subject index
Summary
- Type
- Chapter
- Information
- Geometry from a Differentiable Viewpoint , pp. 171 - 185Publisher: Cambridge University PressPrint publication year: 1995