On orthogonality and some of its applications

Dissertant

Muhammad, Rana A.

Thesis advisor

Fatُhy, Sakin A.

Comitee Members

al-Tai, Abid Ali
al-Hashimi, Basil
Naum, Riyad Shakir
al-Bahrani, Bahar Hamad Ahmad
Mansur, Nadir Jurj

University

University of Baghdad

Faculty

College of Science

Department

Mathematics Department

University Country

Iraq

Degree

Master

Degree Date

2006

English Abstract

This thesis is a brief exposition to orthogonality in an inner product space and its development as well as studying this property in an normed linear space and using it to define a scalar product in a normed space.

Also the thesis is concerned with using a kind of orthogonal functions in some function spaces, namely eigen functions corresponding to distinct eigenvalues for the Sturm-Liouville eigenvalue problem and how are used to represent the solution for some types of boundary value problems, in particular, regular S-L boundary value problems

Main Subjects

Mathematics

Topics

No. of Pages

55

Table of Contents

Table of contents.

Abstract.

Chapter One : Historical introduction with basic concepts.

Chapter Two : Orthogonality in normed linear spaces.

Chapter Three : Applications on orthogonality (regular sturm liouville B.V.P).

References.

American Psychological Association (APA)

Muhammad, Rana A.. (2006). On orthogonality and some of its applications. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602277

Modern Language Association (MLA)

Muhammad, Rana A.. On orthogonality and some of its applications. (Master's theses Theses and Dissertations Master). University of Baghdad. (2006).
https://search.emarefa.net/detail/BIM-602277

American Medical Association (AMA)

Muhammad, Rana A.. (2006). On orthogonality and some of its applications. (Master's theses Theses and Dissertations Master). University of Baghdad, Iraq
https://search.emarefa.net/detail/BIM-602277

Language

English

Data Type

Arab Theses

Record ID

BIM-602277