TITLE: Textbook on the differential geometry of fibre bundles
QUESTION [7 upvotes]: I'm looking for a textbook on the differential geometry of fibre bundles containing a not too brief discussion of the following topics:

Principal and associated bundles, (reduction of) structure groups.
Ehresmann connections and their curvature
Other common definitions of a connection on a bundle and various ways of organizing that information (connection forms etc.)
Holonomy, mondromy and gauge groups
Yang-Mils functionals
Foliations and their holonomy
Jet bundles

Is there such a textbook? (By which i mean a book that contains exercise problems).
If not, where can i find problem sets for these topics?

REPLY [3 votes]: A standard great reference textbook with exercises is definitely Husemöller's "Fiber bundles", especially Part I and III for your needs. It covers most of your topics (I don't think there is a book covering all of your topics in a great way, so I am convinced that this one should be the perfect fit, as it covers most of them in a great way). There is also good stuff to say about the lecture notes of Koszul, but they are without exercises.