{"id":2598,"date":"2021-06-28T16:02:27","date_gmt":"2021-06-28T10:32:27","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=2598"},"modified":"2021-12-23T01:43:39","modified_gmt":"2021-12-22T20:13:39","slug":"what-is-fourier-series","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-is-fourier-series\/","title":{"rendered":"What is the Fourier series? Overview, formula, and the advantages."},"content":{"rendered":"\n

\u00a0Overview<\/strong> of Fourier Series <\/strong><\/p>\n\n\n\n

The name \u201cFourier\u201d came from the name of well-known French mathematician and physicist Joseph Fourier. Fourier series is very useful in engineering problems.<\/p>\n\n\n\n

He developed the Fourier series which is now used in various problems related to vibrations and heat transfer (heat equation, which is a type of partial differential equation) etc.<\/p>\n\n\n\n

Before moving toward the Fourier series, first, we will study the periodic function.<\/p>\n\n\n\n

Periodic function<\/strong><\/p>\n\n\n\n

If the value of each ordinate f(x) repeats itself at equal intervals in the abscissa, then f(x) is called a periodic function.<\/p>\n\n\n\n

When f(x) = f(x + T) = f(x + 2T) = f(x + 3T) = f(x + 4T) = \u2026\u2026\u2026.<\/p>\n\n\n\n

Here T is known as the period of the function f(x).<\/p>\n\n\n\n

 Fourier series<\/strong><\/p>\n\n\n\n

A series of the form-<\/p>\n\n\n\n

\"\"\/<\/figure><\/div>\n\n\n\n

Is called the Fourier series, where an and bn are the constants.<\/p>\n\n\n\n

Some advantages of Fourier series<\/strong><\/p>\n\n\n\n