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        "name": "23_1 Periodic Functions",
        "intro": "Fourier series are usually infinite series but involve sine and cosine functions (or their complex\nexponential equivalents) rather than polynomials. They are widely used for approximating <b>periodic\nfunctions<\/b>. Such approximations are of considerable use in science and engineering. For example,\nelementary a.c. theory provides techniques for analyzing electrical circuits when the currents and\nvoltages present are assumed to be sinusoidal. Fourier series enable us to extend such techniques\nto the situation where the functions (or signals) involved are periodic but not actually sinusoidal.\n<p><\/p>\nHere, we shall recognise periodic functions, and determine the frequency, the amplitude and\nthe period of a sinusoid.",
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