This book investigates the fundamental principles of modern electromagnetism by integrating its physical and geometric interpretations. The author, Si Li, draws from lecture notes developed for mathematical physics courses at Tsinghua University to present a comprehensive exploration of electromagnetic fields and their dynamics. The text is structured into two parts: the first details the core components and classical behavior of electromagnetic fields, while the second delves into Maxwell's theory through the lens of U(1) fiber bundle geometry. Throughout the book, the sophisticated language of differential forms is employed to illuminate the geometric and topological characteristics inherent in Maxwell's equations.

This text is likely to be regarded as a rigorous and specialized treatment of electromagnetism, appealing to advanced students and researchers in mathematical physics. Its focus on geometric interpretations and the use of differential forms suggests a dense, theoretically oriented approach. The material's origin in university lectures indicates a pedagogical intent, aiming to provide a deep understanding of the subject's underlying mathematical structures. The book's approach promises to offer a unique perspective for those seeking to connect abstract geometry with concrete physical phenomena.