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## Main Question or Discussion Point

Can someone provide me a link that explains and provides a proof for the following principles:

1. Fermat's Principle that light always takes the path that minimizes the time taken

2. Solution to a Fourier Series and why all periodic motion can be represented as an infinite sum of sines and cosines

3. Why only standing waves of wavelength integral multiples of half the length of a closed pipe are found

4. Why the motion of coupled oscillators is the superposition of their normal modes

Thanks,

Sid

1. Fermat's Principle that light always takes the path that minimizes the time taken

2. Solution to a Fourier Series and why all periodic motion can be represented as an infinite sum of sines and cosines

3. Why only standing waves of wavelength integral multiples of half the length of a closed pipe are found

4. Why the motion of coupled oscillators is the superposition of their normal modes

Thanks,

Sid