Skip to main content
Article thumbnail
Location of Repository

The Fourier Series and Its Properties

By Pavla Sladká

Abstract

The functional series, and especially the Fourier series, are an important mathematical apparatus exploited in the various technical branches. A very essential group of the functional series are the power series, which are applied because of their simplicity for solving of the many problems. An expansion of the function to the power series, i. e. the Taylor expansion, whose sum is the expanded function. These expansions are suitable for evaluation of operations, such as calculation of functional values, limits, derivatives and integrals. Calculations of these expansions are easier than of the functions theirself. The Fourier series are used for studies of events with periodic character. An advantage of the Fourier series is the fact, that the requirements for convergency are weaker than in case of the Taylor expansions. Likewise, calculation of the coefficients can be more simple than in the Taylor expansions. Expansions of functions to the Fourier series are used especially for solving ordinary and partial differential equations. This method of solving is known as the Fourier method or the Fourier method of variable separation

Topics: Series; aplikace; application; the Fourier series; Fourierovy koeficienty; the Fourier coefficients; Fourierova řada; Řada
Publisher: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Year: 2008
OAI identifier: oai:invenio.nusl.cz:210572
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://www.nusl.cz/ntk/nusl-21... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.