Title: TREATING FOURIER SERIES AS VECTOR: A CONCEPT SIMPLIFICATION FOR TEACHING FOURIER SERIES
Abstract: Fourier series as a representation of periodic function is quite frequently
encountered in various fields of science and engineering, especially in physics. In
practice, even non-periodic function defined in a certain range of the domain can be
represented by Fourier series. Vectors, on the other hand, are usually introduced
earlier than Fourier series. Similar to Fourier series, vectors are also used intensively
and extensively in physics. In this paper we will examine the properties of Fourier
series that account for its similarities to the properties of vectors. The orthogonal
properties of bases vectors in the context of dot product amongst bases vectors will
be the central discussion to examine the similarities between vectors and Fourier
series.
Publication Year: 2014
Publication Date: 2014-05-01
Language: en
Type: article
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