Chapter 4 Waves
In Which We Derive Another Quite Famous Equation
Sets the scene for an introduction to the mathematics of waves
The mathematical form of equations describing sinusoidal functions
Introduces the time dimension: equations for travelling sinusoidal waves with different amplitudes, wavelengths, velocities and phases.
When waves meet ...... the mathematics of constructive and destructive interference..
Formation of standing waves by superposition of sunusoidal waves travelling in opposite directions.
Considers the general features of any one dimensional wave. Introduces the calculus of functions with than one independent variable: partial differentiation.
Derivation and validation of the wave equation: a second order partial differential equation which must be satisfied by any 1-dimensional wave.
Superposition of waves with the same velocity always produces something which is also a wave.