👉 Wave mathematics is a branch of mathematics that deals with the study of waves, which are disturbances that propagate through space and time, carrying energy. It involves the analysis of wave behavior using mathematical tools like differential equations, Fourier series, and complex analysis. Key concepts include wave functions that describe the amplitude and phase of waves, wave equations that model how waves evolve over time and space, and Fourier transforms that decompose complex waves into simpler sine and cosine components. This field is crucial in physics, engineering, and signal processing, enabling the understanding and prediction of phenomena from sound waves to electromagnetic radiation.