This book examines the close relationship between the physical phenomena of electromagnetism and the geometry of space and time. It starts with the Faraday-Maxwell insight that in electromagnetism exists an interconnected dynamical system in which space and time are closely linked with the physical phenomena. An appropriate mathematical basis is given by differential geometry to describe local relationships and topology to describe the system. These tools are introduced in the context of Maxwell's equations in the familiar vector notation, which are greatly simplified by the geometrical...