During the past two decades gauge theory has been the focus of intense mathematical scrutiny. This book, together with the author's earlier book, Topology, Geometry and Gauge Fields: Foundations, Springer 1997, provides a gentle introduction to the basics of the subject with the somewhat unique feature of picking out what students need to know from both the mathematics and physics of the subject. Extensive exercises are included to encourage readers to actively participate in the material.

Gregory L. Naber is a Professor in the Department of Mathematics at Drexel University in Philadelphia, PA.