Welcome to SPOTTURNS page, Greetings from my side with following link GATE HAND WRITTEN NOTES.

Sunday 4 January 2015

Success is not like a instant coffee. Most of the successes start with failures ex.FOURIER

3.FOURIER  & FOURIER SERIES


>> As a historical note Fourier is a French mathematician com administrator.in French his name pronounced “Fourier”, in English his name Fourier.
>> According to Fourier any type of periodic signals can be expressed with dc component + sum of different sinusoidal waves.




fig.1




                                                                         Fig.2


Generally square wave=fundamental sin wave (H1)+H2+H3+--------+Hn      see in fig.1
But we need to truncate series for easy calculations
Square wave=H1+H2+---+H49         see in fig.2
>>it gave raise to some sort of controversy.

>>based on his work Fourier submitted a paper .but apparently it could not be accepted in a scientific journal, because very eminent mathematician who was the referee seriously objected it
                                                Start with failure
>>in this event Fourier finally published in the form of book.
>>now a days Fourier forms plays a vital role in engineering & science, and is still going to increase their demand in science&engineering.

No comments: