Fibre bundles play an important role in just about every aspect of
modern geometry and topology. Basic properties, homotopy classification,
and characteristic classes of fibre bundles have become an essential
part of graduate mathematical education for students in geometry and
mathematical physics. In this third edition two new chapters on the
gauge group of a bundle and on the differential forms representing
characteristic classes of complex vector bundles on manifolds have been
added. These chapters result from the important role of the gauge group
in mathematical physics and the continual usefulness of characteristic
classes defined with connections on vector bundles.