講義

2004 工程數學(三)Vector calculus, Fourier series, Fourier Transform, Fourier Integral
講義 海大河工系工數歷屆資訊 簽到名單
  教師助教資訊  
  Vector calculus

向量積分

空間曲線描述法

空間曲線描述法

Vector operators for radial basis functions

Frenet formula

 Radius of curvature for plane curve

 Greentheorem

Divergence of position vector and gradient of radial function

三角函數積分

 

 

 

 

 

 

 
Fourier series

Why Fourier series

Fourier series-1

Fourier series-2

Fourier series-3

Fourier series-4

Decomposition theorem

Fourier coefficient

Energy conservation

Gibbs phenomenon by Fourier transform

Gibbs phenomenon

Alternative series and Stokes' transformation

Alternative series and Stokes' transformation

Cesaro sum for Fourier series

Fourier series for function with period 2L  Fourier series examples (John Appleby)

 

  Fourier Integral and Fourier Transform

Introduction

From Fourier series to Fourier integer

Fourier transform(i)

 Fourier transform(ii)

Table of Fourier integer

Gibbs phenomenon by Fourier transform

Properties of Fourier transform

Example for Fourier transform

Fourier transform(iii)

Parseval's theorem

Some interesting properties of operators

Comparison of Laplace Transform and Fourier Transform

因果函數Fourier轉換特性

Hilbert transform 1

Hilbert transform 2

Geometric Meaning for Fourier Transform

 
O'Neil工程數學書評(劉進賢教授 提供)