All the Way with Gauss-Bonnet and the Sociology of Mathematics

All the Way with Gauss-Bonnet and the Sociology of Mathematics

Gottlieb shows how the basic concept of angle leads naturally to the basic topological ideas of degree of mapping and of the Euler-Poincare Number.

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Veröffentlicht in:The American mathematical monthly 1996-06, Vol.103 (6), p.457-469
1. Verfasser: Gottlieb, Daniel Henry
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Mathematical theorems
Mathematics
Riemann manifold
Tangents
Topological theorems
Topological vector spaces
Triangles
Vector fields
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Beschreibung
Zusammenfassung:Gottlieb shows how the basic concept of angle leads naturally to the basic topological ideas of degree of mapping and of the Euler-Poincare Number.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.1996.12004769