Rudolph&Schmidt just released their second volume Differential Geometry and Mathematical Physics II: Fiber bundles, Topology and Gauge fields, and it covers exactly this stuff.

These two volumes instantly became my favorite intro to geometric methods in theoretical physics. I'm sure in a few years they'll replace the likes of Nakahara due to their incredible mathematical completeness and physical insight.

Rudolph&Schmidt just released their second volume Differential Geometry and Mathematical Physics II: Fiber bundles, Topology and Gauge fields, and it covers exactly this stuff.

These two volumes instantly became my favorite intro to geometric methods in theoretical physics. I'm sure in a few years they'll replace the likes of Nakahara due to their incredible mathematical completeness and physical insight.