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Chapter 03 — The Fourier Series and Fourier Transform

傅里叶级数与傅里叶变换

3.1 Introduction

引言

Taylor vs Fourier Approximation 泰勒展开 vs 傅里叶级数

Taylor series approximates a function locally around a point; Fourier series approximates globally over a period. Adjust the number of terms to see the difference.
泰勒级数在某一点附近局部逼近函数;傅里叶级数在整个周期上全局逼近。调节项数观察差异。

Function:
1
Taylor:
Fourier:
Taylor Approximation 泰勒逼近
Fourier Approximation 傅里叶逼近