
06443514
j
2015d.00767
Hoare, Graham
Fourier series.
SYMmetryplus 56, 12 (2015).
2015
Mathematical Association (MA), Leicester
EN
I30
N50
Fourier series
approximation
numerical analysis
graph of a function
trigonometric series
From the text: Fourier series is a technique for representing any periodic (or repeating) function across the interval $(\pi ,\pi )$ as an infinite trigonometric series. For example, consider the socalled ``square wave" function alongside its Fourier series. By adding on an additional term each time, we can see how its Fourier series starts to become a very good approximation for the square wave function. Four diagrams show the development of the Fourier series with an additional term in the series being evaluated each time.