Complex Numbers and Exponentials.
(pdf file)
These notes introduce complex numbers and exponentials. As an application,
they show why the discrete Fourier series formula is true.
Fourier Series.
(pdf file)
These notes state the main Fourier series expansions, and try to give
the reader an idea why they are true and how they may be used to solve partial
differential equations.
Complex Numbers and Exponentials.
(pdf file)
These notes introduce complex numbers and exponentials. As an application,
they show why the discrete Fourier series formula is true.
Fourier Series This demo shows a Fourier series adding up to the
expected answer.
The Fast Fourier Transform.
(pdf file)
The fast Fourier transform is an algorithm for computing Fourier
coefficients very efficiently. These notes explain the principle upon
which the algorithm is based.