Introduction to fourier analysis

Date of Publication

1996

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

The primary objective of this paper is to introduce some basic concepts in Fourier analysis. It covers topics such as Fourier series, Fourier transforms, complex Fourier series, generalized functions, and periodic waveforms. These topics are related to each other in the sense that we can associate them with one another. Not only will we present functions that are periodic but we will also focus our attention on nonperiodic functions. Under periodic waveforms are the sine and cosine waveforms which also play a big role in understanding Fourier analysis. Moreover, the sine, cosine, odd, and even functions will have a major part in the study since there are theorems and properties that involve these functions. In fact, these functions are useful tools in studying Fourier series.The paper is expository in nature. Proofs and derivations of formulas and properties in Fourier analysis will be discussed. In addition, trigonometry and calculus will be used to derive solutions for the series.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU07455

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

113 leaves

Keywords

Fourier analysis; Functions, Orthogonal; Fourier transformations; Fourier series

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