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Fourier Series; Harmonic Analysis

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Mathematics for Physicists and Engineers

Abstract

In Chap. 8 we showed that a function f(x) which may be differentiated any number of times can usually be expanded in an infinite series in powers of x, i.e.

$$f(x)=\sum\limits _{{n=0}}^{\infty}\ {a_{n}x^{n}}$$

The advantage of the expansion is that each term can be differentiated and integrated easily and, in particular, it is useful in obtaining an approximate value of the function by taking the first few terms.

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Correspondence to Klaus Weltner Prof. Dr. .

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Weltner, K., John, S., Weber, W.J., Schuster, P., Grosjean , J. (2014). Fourier Series; Harmonic Analysis. In: Mathematics for Physicists and Engineers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54124-7_18

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  • DOI: https://doi.org/10.1007/978-3-642-54124-7_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54123-0

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