%0 Journal Article
%A Johannes, V.D. Wirjawan
%D 2014
%F UNY:11461
%I Yogyakarta State University
%J Proceeding of  International Conference On Research, Implementation And Education  Of Mathematics And Sciences 2014
%K Fourier series, vectors, dot product, orthogonal
%T TREATING FOURIER SERIES AS VECTOR:  A CONCEPT SIMPLIFICATION FOR TEACHING FOURIER SERIES
%U http://eprints.uny.ac.id/11461/
%X 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.