👉 Cable math, also known as vector calculus or differential geometry in the context of electromagnetism, is a branch of mathematics that deals with the study of vectors and their derivatives in multidimensional spaces, particularly in relation to physical phenomena like electric and magnetic fields. It involves the use of vector calculus operations such as gradient, divergence, curl, and line integrals to describe how these fields change in space and time. For instance, the gradient of a scalar field represents the direction and magnitude of the steepest ascent, while the curl measures the rotation or circulation of a vector field around a point. These mathematical tools are crucial for formulating Maxwell's equations, which describe the fundamental laws of electromagnetism, providing a powerful framework to analyze and predict the behavior of electric and magnetic fields in various scenarios.