Johannes, V.D. Wirjawan (2014) TREATING FOURIER SERIES AS VECTOR: A CONCEPT SIMPLIFICATION FOR TEACHING FOURIER SERIES. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014. (Submitted)

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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 nonperiodic 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.
Item Type:  Article 

Uncontrolled Keywords:  Fourier series, vectors, dot product, orthogonal 
Subjects:  Prosiding > ICRIEMS 2014 > PHYSICS & PHYSICS EDUCATION 
Divisions:  Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Pendidikan Fisika > Pendidikan Fisika 
Depositing User:  Eprints 
Date Deposited:  06 Nov 2014 08:54 
Last Modified:  06 Nov 2014 08:54 
URI:  http://eprints.uny.ac.id/id/eprint/11461 
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