Differential Geometry: Connections, Curvature, and Characteristic Classes
Loring W. Tu
Differential Geometry: Connections, Curvature, and Characteristic Classes - A book resource
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More resources on Vector Bundles
MathOverflow: Learning Vector Bundles
Thread with practitioner recommendations
Geometric Anatomy of Theoretical Physics (Lectures 5-6 on Bundles)
Explore vector-bundles with Frederic Schuller in lectures 5-6 of Geometric Anatomy of Theoretical Physics. Deepen your understanding today!
nLab: Vector Bundle
Comprehensive reference with diff geom context
Differential Geometry
Learn vector-bundles with this Differential Geometry course by George Lusztig. Explore topics at MIT OCW.
Lectures on the Geometric Anatomy of Theoretical Physics
Explore vector-bundles in theoretical physics with Frederic Schuller's geometric anatomy course. Deepen your understanding through lectures on YouTube.
mathworld.wolfram.com
MathWorld is a comprehensive online math encyclopedia by Wolfram that provides detailed, formula-rich articles on mathematical concepts. It includes entries on vector bundles along with explanations of related topics, theorems, and examples.