Differential Geometry

Connections, Curvature, and Characteristic Classes

Autor*innen

• Loring W. Tu

Parameter

• 368 Seiten
• 13 Lesestunden

• Geometrie
• Mathematik

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2017
• Einband: Hardcover