Application of Fourier analysis in physics

Dr. Dragan Jakimovski, Professor

Course content:

Heat equation and Fourier series 

Taylor decomposition and harmonic functions 

Differentiability and continuity of functions

Application – waves, diffusion, diffraction, analysis of sound and other signals...

Convolution of functions, orthogonality and linearity

Laplace transform

Discrete and Fast Fourier Transform (FFT)

Software implementation of Fourier analysis (python, R)

Fourier analysis of images

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