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 Decade: 1950-1959
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Convergence Tests for Infinite Series

Convergence Tests for Infinite Series

Date: 1950
Creator: Latimer, Philip W.
Description: The field of infinite series is so large that any investigation into that field must necessarily be limited to a particular phase. An attempt has been made to develop a number of tests having a wide range of applications. Particular emphasis has been placed on tests for series of positive terms.
Contributing Partner: UNT Libraries
Exhaustibility and Related Set Properties

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
L'Hospital's Rule

L'Hospital's Rule

Date: 1950
Creator: Spidell, William H.
Description: The purpose of this paper is to present proofs for six cases of L'Hospital's Rule for the evaluation of indeterminate forms. It is also a purpose to reduce to one of these six cases some other indeterminate forms to which L'Hospital's Rule is applicable. In the course of presenting these proofs several theorems and definitions will be used without proof.
Contributing Partner: UNT Libraries
Planar Lebesgue Measure

Planar Lebesgue Measure

Date: 1950
Creator: Martin, Nat G.
Description: This thesis attempts to prove the Lebesgue measure is a concrete realization of measure.
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The Riemann Definite Integral of a Bounded Real Function

The Riemann Definite Integral of a Bounded Real Function

Date: 1950
Creator: Hendrick, H. Wayne
Description: The object of this paper is to define, to establish necessary and sufficient conditions for the existence of, and to consider the elementary properties of the Riemann definite integral of a bounded function.
Contributing Partner: UNT Libraries
Semi-continuity and Related Properties

Semi-continuity and Related Properties

Date: 1950
Creator: Huggins, Frank N.
Description: The elementary notion of a function originated in the work of mathematicians of the seventeenth century, and was somewhat closely connected with investigations in the field of algebra. This paper will be concerned with an investigation of a generalized type of continuity known as semi-continuity.
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Some Generalizations in the Theory of Summable Series

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.
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The Analytical Development of the Trigonometric Functions

The Analytical Development of the Trigonometric Functions

Date: 1951
Creator: Mackey, Pearl Cherrington
Description: This thesis is a study of the analytical development of the trigonometric functions.
Contributing Partner: UNT Libraries
The Development of the Natural Numbers by Means of the Peano Postulates

The Development of the Natural Numbers by Means of the Peano Postulates

Date: 1951
Creator: Baugh, Orvil Lee
Description: This thesis covers the development of the natural numbers by means of the peano postulates.
Contributing Partner: UNT Libraries
Means and Mean Value Theorems

Means and Mean Value Theorems

Date: 1951
Creator: Blummer, Raymond O.
Description: This study covers means, mean value theorems of the differential calculus, and mean value theorems of integral calculus.
Contributing Partner: UNT Libraries
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