Real-valued functions with a fixed period
Finding bases for vector spaces of periodic functions
13.1 Waves, Periodic Functions and Trigonometry
Waves occur throughout nature, from water pounding a beach to sound echoing off the walls at a club to the evolution of an electron’s state in quantum mechanics. For these reasons, at the least, the mathematics of waves is important. In actual fact, the mathematical tools developed for waves, namely Fourier series (or ...