Resonance is a universal phenomenon in physics, whose description invokes a wide swath of mathematical areas. In 1900, Horace Lamb wrote a short and enlightening article in which he elucidated resonance using a remarkably simple model. I will describe this model and other derivatives of it and show how different areas of mathematics intersect in its description. These areas include ordinary and partial differential equations, complex variables, and Fourier-Laplace transforms.

Pizza will be served.

Nonlinear Model