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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.
Acquisto del libro
Differential Geometry, Loring W. Tu
- Lingua
- Pubblicato
- 2017
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- (Copertina rigida)
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- Titolo
- Differential Geometry
- Sottotitolo
- Connections, Curvature, and Characteristic Classes
- Lingua
- Inglese
- Autori
- Loring W. Tu
- Editore
- Springer
- Pubblicato
- 2017
- Formato
- Copertina rigida
- Pagine
- 368
- ISBN13
- 9783319550824
- Serie
- Valutazione
- 4 su 5
- Descrizione
- 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.