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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.
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Differential Geometry, Loring W. Tu
- Taal
- Jaar van publicatie
- 2017
- product-detail.submit-box.info.binding
- (Hardcover)
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- Ondertitel
- Connections, Curvature, and Characteristic Classes
- Taal
- Engels
- Auteurs
- Loring W. Tu
- Uitgever
- Springer
- Jaar van publicatie
- 2017
- Formaat
- Hardcover
- Aantal pagina's
- 368
- ISBN13
- 9783319550824
- Reeks
- Beoordeling
- 4 van 5
- Aantekening
- 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.