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  Partner: UNT Libraries
 Decade: 1940-1949
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
The History of the Calculus

The History of the Calculus

Date: 1945
Creator: Ashburn, Andrew
Description: The purpose of this essay is to trace the development of the concepts of the calculus from their first known appearance, through the formal invention of the method of the calculus in the second half of the seventeenth century, to our own day.
Contributing Partner: UNT Libraries
Lebesgue Linear Measure

Lebesgue Linear Measure

Date: 1940
Creator: Beeman, William Edwin
Description: This paper discusses the concept of a general definition of measure, and shows that the Lebesgue measure satisfies the requirements set forth for the ideal definition.
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Some Properties of Negligible Sets

Some Properties of Negligible Sets

Date: 1948
Creator: Butts, Hubert S.
Description: In the study of sets of points certain sets are found to be negligible, especially when applied to the theory of functions. The purpose of this paper is to discuss three of these "negligible" types, namely, exhaustible sets, denumerable sets, and sets of Lebesgue measure zero. We will present a complete existential theory in q-space for the three set properties mentioned above, followed by a more restricted discussion in the linear continuum by use of interval properties.
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Some Properties of Transfinite Cardinal and Ordinal Numbers

Some Properties of Transfinite Cardinal and Ordinal Numbers

Date: 1940
Creator: Cunningham, James S.
Description: Explains properties of mathematical sets, algebra of sets, and set order types.
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The Investigation of Some Properties of the Gamma Function

The Investigation of Some Properties of the Gamma Function

Date: 1949
Creator: Darnell, Billy R.
Description: The purpose of this paper is to prove the existence of the Gamma function and to give some other properties of the function.
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Some Variation Properties of Real-Valued Functions

Some Variation Properties of Real-Valued Functions

Date: 1948
Creator: Dawson, David Fleming
Description: The purpose of this paper is two-fold; we shall first establish a complete existential theory of functions of one real variable with respect to continuity, uniform continuity, absolute continuity, bounded variation, and Lipschitz condition, and second we shall study set-functions in a similar manner, except that the properties to be considered will be continuity, absolute continuity, bounded variation, and additivity.
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The Buckling of a Uniformly Compressed Plate with Intermediate Supports

The Buckling of a Uniformly Compressed Plate with Intermediate Supports

Date: 1949
Creator: Dean, Thomas S.
Description: This problem has been selected from the mathematical theory of elasticity. We consider a rectangular plate of thickness h, length a, and width b. The plate is subjected to compressive forces. These forces act in the neutral plane and give the plate a tendency to buckle. However, this problem differs from other plate problems in that it is assumed that there are two intermediate supports located on the edges of the plate parallel to the compressive forces.
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The Cantor Ternary Set and Certain of its Generalizations and Applications

The Cantor Ternary Set and Certain of its Generalizations and Applications

Date: 1942
Creator: Hembree, Gwendolyn
Description: This thesis covers the Cantor Ternary Set and generalizations of the Cantor Set, and gives a complete existential theory for three set properties: denumerability, exhaustibility, and zero measure.
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Some Properties of Certain Generalizations of the Sum of an Infinite Series

Some Properties of Certain Generalizations of the Sum of an Infinite Series

Date: 1941
Creator: Hill, William F.
Description: This thesis attempts to establish properties of Hölder and Cesàro summable series analogous to those of ordinary convergent series and also to establish properties that are possibly different from those of convergent series.
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A Generalization of Newton's Method

A Generalization of Newton's Method

Date: 1948
Creator: LeBouf, Billy Ruth
Description: It is our purpose here to investigate the method of solving equations for real roots by Newton's Method and to indicate a generalization arising from this method.
Contributing Partner: UNT Libraries
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