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3, Fowrier Series:, エt, took, a long time in, a, developing the trignometric Series representing, a function. In fact the study f voriety, of problems of physics & Engineering involve, periodic functions e.g. electrical. circuits,, Vibration of strings, theory of sound etc., Joseph, Fourier represented expansions cin, trigonometric Series in connection with bound-, -ary value problems cn Conduction ef heat, The, Single valued fumction Can be represented by, on in finite trig nometric Series od the form, do, + ai cos n t ag cos 2n+ az Cos3n +, + b, Sin n + b2 Sin 2n +, - -, within the desired range f the values of, the variables, Such serices is known as, Fourier Series ., Scanned with CamScanner