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Differential Geometry

Connections, Curvature, and Characteristic Classes

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Pagine
368pagine
Tempo di lettura
13ore

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Focusing on the historical evolution of connection and curvature, this graduate-level introduction to differential geometry caters to mathematics and physics students. It explores significant milestones such as Gauss' Theorema Egregium and the Gauss-Bonnet theorem while elucidating the Chern-Weil theory of characteristic classes on principal bundles. The book includes exercises to reinforce understanding and illustrates theoretical extensions. A foundational knowledge of manifolds and differential forms is essential, with de Rham cohomology required for the latter sections.

Pubblicazione

Acquisto del libro

Differential Geometry, Loring W. Tu

Lingua
Pubblicato
2017
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