Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def

In this video I will explain the mathematical definition and equation of a Fourier transform.

Next video in this series can be seen at:

[williamlohrmann]

In the definition of the inverse transform the variable of integration (dt) should be omega instead

[im_allah]

Nice approach to make us understand a difficult subject .. Thanks!!

[lucasresenderesende]

Professor ! Could you do one video on Z-transform.
Your Tutorials have really  helped me to achieve first class in EEE.
Thank you !!!

[bmwilde]

Yess! He does EE videos too?! Thank you Sir @MichelvanBiezen

[the_value_of_x]

Dear Sir, I think there should be positive exponential power in definition of Fourier Transform and negative exponential power in Inverse Fourier transform. Please clear me if I am wrong.

[bounmysoumountha]

Hi Michel,
I am a structural engineer not a mathematician. I would appreciate you make video on wavelets (used in earthquake engineering). I already tremendously appreciate your videos on fourier transforms. Thank you in advance.

[urchinsonnwankwo]

I appreciate your lectures. I am not entirely sure how you came about 1/2pi in the inverse Fourier transform. When I checked other sources I did not see it in their inverse Fourier equation

[albert]

Dear professor, I have also seen this transformation with the term jwt being positive and negative for its inverse which is the other way around as you taught in this video. do you know where this difference comes from ?

[geochum]

Thank you for these lectures. Keep it up sir.

[marcelorgduarte]

wouldn´t it be a cosine function instead of a sine function?

[adrianozzz]

I wish I could understand why F(0)=AT from F(w). It gives 0/0... I think I will just accept it lol
Thanks for the lectures. They are helping me very much.

[canman]

This is also part of Advanced Calculus.

[saolindaya]

Time domain, frequency domain, s domain in laplace.

[ramzi-sah]

i think the TF-1 integration should be by dw not by dt

[koosi]

for the inverse fourier transform, the integration should be over dw