Fourier Series Approximation

Fourier Series Approximation
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2018-09-20 09:00
This example demonstrates how to approximate a given function using Fourier series. The core mathematical concepts involved include Fourier series, function approximation, and trigonometric functions. The construction uses GeoGebra commands like 'If' to control the display of functions f and g, with objects including function f, g, parameter n, and height h. It is suitable for university mathematics students to learn and understand the application of Fourier series.

GeoGebra Commands & Parameters

  1. If(n ≟ 0, 1 / 2, 1 / 2 + Sum[((2 - (2 * cos((i * π)))) / ((i^(2) * π^(2))) * cos(((i * π) * x))), i, 1, n]) → h