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Department of Mathematics
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Master's
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UNT Theses and Dissertations
Some Generalizations in the Theory of Summable Series
Date: August 1950
Creator: Penner, Jimmie G.
Description: It will be our purpose to study a generalized definition of sum of a series and the restrictions which must be placed upon it in order that it shall satisfy the generally accepted requirements of any generalized definition of sum of a series. We shall then proceed to investigate the possibilities of further generalizing this process.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130256/
Some Properties of Dini Derivatives
Date: August 1953
Creator: Pinkerton, Jane W.
Description: The purpose of this paper is to derive certain of the fundamental properties of the Dini derivatives of an arbitrary real function. To this end it will be necessary to investigate the properties of the limits superior and inferior of real functions and to prove the Vitali Covering Theorem as well as a fundamental theorem on the metric density of arbitrary point sets.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130342/
A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions
Date: August 1954
Creator: Allen, Alfred I.
Description: The purpose of this paper is to define and develop a set of functions of an area in such a manner as to be analogous to the trigonometric and the hyperbolic functions.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130370/
Exhaustibility and Related Set Properties
Date: 1950
Creator: Cargal, Buchanan
Description: The purpose of this paper is to develop certain fundamental properties of exhaustible sets and their complements and to examine various set properties which are generalizations, with respect to exhaustible neglect, or well-known set properties.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130236/
The Lebesgue and Equivalent Integrals
Date: August 1954
Creator: Lewis, Leslie L.
Description: The purpose of this thesis is to present a study of the Lebesgue definite integral, defined in four different ways.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130387/
Fundamental Properties of Fourier Series
Date: August 1954
Creator: Hubbard, Geogre U.
Description: This thesis is intended as an introduction to the study of one type of trigonometric series, the Fourier series.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130383/
Some Results of Two Topological Spaces
Date: August 1955
Creator: Boyd, James Robert
Description: This thesis explores some results of two topological spaces.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130437/
Abstract Vector Spaces and Certain Related Systems
Date: August 1961
Creator: Goddard, Alton Ray
Description: The purpose of this paper is to make a detailed study of vector spaces and a certain vector-like system.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130465/
On Envelopes and Extraneous Loci of Differential Equations of Order One and Higher Degree
Date: August 1961
Creator: Lane, Hal Burns
Description: The purpose of this paper is to examine the properties of the envelope and the extraneous loci associated with the solution curves of ordinary differential equations of the first order and degree greater than one.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130469/
Convergence Preserving Matrices
Date: August 1961
Creator: Line, Harrell Harvey
Description: This paper is the result of a study of triangular matrices with particular emphasis on those which are convergence preserving transformations.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130470/