Gauss–Bonnet theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 29/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Gauss%E2%80%93Bonnet_theorem


00:00:34 1 Statement of the theorem
00:03:27 2 Interpretation and significance
00:08:57 3 Special cases
00:09:22 3.1 Triangles
00:10:28 3.2 Polyhedra
00:12:05 4 Combinatorial analog
00:16:20 5 Generalizations
00:17:15 6 In Popular Culture



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SUMMARY
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The Gauss–Bonnet theorem or Gauss–Bonnet formula in differential geometry is an important statement about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic). It is named after Carl Friedrich Gauss who was aware of a version of the theorem but never published it, and Pierre Ossian Bonnet who published a special case in 1848.