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The Development of the Natural Numbers by Means of the Peano Postulates
This thesis covers the development of the natural numbers by means of the peano postulates.
Date:
1951
Creator:
Baugh, Orvil Lee
System:
The UNT Digital Library
Means and Mean Value Theorems
This study covers means, mean value theorems of the differential calculus, and mean value theorems of integral calculus.
Date:
1951
Creator:
Blummer, Raymond O.
System:
The UNT Digital Library
Some Properties of a Lebesgue-Stieltjes Integral
It is the purpose of this paper to define a Lebesgue integral over a measurable set, the integration being performed with respect to a monotone non-decreasing function as in the Stieltjes integral, and to develop a few of the fundamental properties of such an integral.
Date:
1951
Creator:
Dean, Lura C.
System:
The UNT Digital Library
Some Properties of Derivatives
This paper is concerned with certain properties of derivatives and some characterizations of linear point sets with derivatives. In 1946, Zygmunt Zahorski published a letter on this topic listing a number of theorems without proof, and no proof of these assertions has been published. Some of the theorems presented here are paraphrases of Zahorski's statements, developed in a slightly different order.
Date:
1951
Creator:
Dibben, Philip W.
System:
The UNT Digital Library
On Uniform Convergence
In this paper, we will be concerned primarily with series of functions and a particular type of convergence which will be described. The purpose of this paper is to familiarize the reader with the concept of uniform convergence. In the main it is a compilation of material found in various references and revised to conform to standard notation.
Date:
1951
Creator:
Drew, Dan Dale
System:
The UNT Digital Library
The Analytical Development of the Trigonometric Functions
This thesis is a study of the analytical development of the trigonometric functions.
Date:
1951
Creator:
Mackey, Pearl Cherrington
System:
The UNT Digital Library