If we know what the function looks like over one complete period, therefore we can sketch a graph of the function over a wider interval of x (that may contain many periods). The Fourier series is known to be a very powerful tool in connection with various problems involving partial differential equations.Ī graph of periodic function f(x) that has a period equal to L exhibits the same pattern for every L unit along the x-axis so that f(x + L) is equal to f(x) for each value of x. The Fourier series can be defined as a way of representing a periodic function (possibly infinite) as a sum of sine functions and cosine functions. So, let’s begin with what the Fourier series is. In this article, we will discuss the Fourier series, formulas, and uses and applications of the Fourier series. Examples of the Fourier series are trigonometric functions like sin x and cos x with period \ and tan x with period \. It can be done by using a process called Fourier analysis. These periodic functions could be analysed into their constituent components (fundamentals and harmonics). For instance, current and voltage in an alternating current circuit. Most of the phenomena that are studied in Engineering and Science are periodic in nature.
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