Abstract
Electromagnetic field theory is a fundamental subject for the electrical engineering students. The student should be acquainted with knowledge of differential and integral calculus, differential equations, vector analysis, matrix algebra, and complex numbers in order to understand the subject of electromagnetics and be able to analyze the behavior of electromagnetic fields in various media. The knowledge of vector analysis is essential in the analysis of electromagnetic problems. This first chapter of the book focuses on the important concepts and techniques in vector analysis that are required to understand the topics of the electromagnetic fields in the later chapters of the book. The chapter covers the topics and concepts in vector analysis including vector algebra, orthogonal coordinate systems, vector differentiation operators, and vector integration. The chapter also introduces the scalar and vector field concepts, in addition to the divergence and Stokes' theorems. The chapter includes numerous illustrative examples covering each topic in the chapter, in addition to miscellaneous solved problems supported by illustrative figures to enhance the student problems solving skills. The chapter ends by numerous homework problems covering the topics of the chapter.