eprintid: 11461
rev_number: 6
eprint_status: archive
userid: 3
dir: disk0/00/01/14/61
datestamp: 2014-11-06 08:54:59
lastmod: 2014-11-06 08:54:59
status_changed: 2014-11-06 07:57:17
type: article
metadata_visibility: show
creators_name: Johannes, V.D. Wirjawan
title: TREATING FOURIER SERIES AS VECTOR:
A CONCEPT SIMPLIFICATION FOR TEACHING FOURIER SERIES
ispublished: submitted
subjects: KIM14
divisions: fmipa_jurdik_fisika_pend_fisika
full_text_status: public
keywords: Fourier series, vectors, dot product, orthogonal
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.
date: 2014-05
date_type: submitted
publication: Proceeding of  International Conference On Research, Implementation And Education  Of Mathematics And Sciences 2014
publisher: Yogyakarta State University
refereed: TRUE
official_url: htttp://fmipa.uny.ac.id
referencetext: Boas, M.L. (2005)  Mathematical Methods in the Physical Sciences, 3
rd
edition. John Wiley & 
Sons, Inc., New York.
Brown,  J.W.  and  R.V.  Churchill  (2011)  Fourier  Series  and  Boundary  Value  Problems,  8
th
edition. McGraw-Hill, New York.
Lai, W. Michael  et. al.  (2009)  Introduction to Continum Mechanics, 4
th
edition. Elsevier, New 
York
Spiegel, M., S. Lipschutz, and D. Spellman (2009) Vector Analysis, 2
nd
edition. McGraw-Hill, 
New York
citation:   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)  
document_url: http://eprints.uny.ac.id/11461/1/07-Johanes.pdf