The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Classic Reprint)

Explore how Maxwell’s equations shape our understanding of electric and magnetic waves. This foundational work explains the key ideas behind electromagnetic fields in clear, approachable terms, guiding readers from basic concepts to practical methods used in wave analysis.

This edition emphasizes accessible math and practical insight. It presents the fundamental equations, discusses different ways to solve the wave equation, and introduces coordinate systems used in diffraction and wave propagation, all with an eye toward intuition as well as rigor.

• Foundational view of electromagnetic fields and how waves propagate


• Step-by-step discussions of solving the wave equation and applying boundary conditions


• Introduction to coordinate systems used in wave problems, including cylindrical and polar forms


• Discussion of diffraction, multiform solutions, and related mathematical tools

Ideal for readers of advanced physics and engineering who want a rigorous, readable grounding in wave motion and Maxwell’s equations.

Originally published in 1915, this textbook 'is intended as an introduction to some recent developments of Maxwell's electromagnetic theory which are directly connected with the solution of the partial differential equation of wave-motion'. An extensive knowledge and understanding of mathematics is considered a pre-requisite, as is knowledge on the existing theorems surrounding such study.