|
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
|
|