The Gauss–Bonnet Theorem

  • Kristopher Tapp
Part of the Undergraduate Texts in Mathematics book series (UTM)


The Gauss–Bonnet theorem is the most famous result in the study of surfaces. It provides a satisfying final chapter of this textbook because it interrelates many fundamental concepts from the previous five chapters.


Boundary Component Euler Characteristic Compact Surface Global Shape Interior Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Kristopher Tapp
    • 1
  1. 1.Department of MathematicsSaint Joseph’s UniversityPhiladelphiaUSA

Personalised recommendations