The document discusses Fourier series, describing it as an expansion of a periodic function using infinite sums of sines and cosines. It includes examples of various Fourier series, such as the sawtooth wave and rectified sine wave. The document is authored by Zorawar Singh, a physics student at the University of Delhi.

1. Fourier series and it’s Examples
By Zorawar Singh
Dep.-Physics (honors)
University of Delhi

2. Fourier series
A fourier series is an expansion of a periodic function
in terms of an infinite sum of sines and cosine.
The Fourier series of the function f(x) is given by
f(x) interval (-π,π)
Where

3. If f(x) is a even function
If f(x) is a odd function

4. Change of interval and function having arbitrary period
Where interval is (-c,c)

5. Some Examples of Fourier series are :-
1. Saw rooh wave :-

7. For arbitrary constant :-
# Rectified Sine wave :-
For example :
Note that c=1/2,
So,

9. For half range expansions:-

12. Thank you