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  Partner: UNT Libraries
 Degree Discipline: Mathematics
 Degree Level: Master's
 Collection: UNT Theses and Dissertations
The Moore-Smith Limit

The Moore-Smith Limit

Date: 1952
Creator: Alexander, Donnie B.
Description: It is the purpose of this thesis to indicate in more detail how various limits defined in analysis, as well as other concepts not ordinarily defined as limits, may be obtained as special cases of the Moore-Smith limit.
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A Development of a Set of Functions Analogous to the Trigonometric and the Hyperbolic Functions

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.
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Integration of Vector Valued Functions

Integration of Vector Valued Functions

Date: August 1972
Creator: Anderson, Edmond Cardell, III
Description: This paper develops an integral for Lebesgue measurable functions mapping from the interval [0, 1] into a Banach space.
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R-Modules for the Alexander Cohomology Theory

R-Modules for the Alexander Cohomology Theory

Date: May 1973
Creator: Anderson, Stuart Neal
Description: The Alexander Wallace Spanier cohomology theory associates with an arbitrary topological space an abelian group. In this paper, an arbitrary topological space is associated with an R-module. The construction of the R-module is similar to the Alexander Wallace Spanier construction of the abelian group.
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Understanding Ancient Math Through Kepler: A Few Geometric Ideas from The Harmony of the World

Understanding Ancient Math Through Kepler: A Few Geometric Ideas from The Harmony of the World

Date: August 2002
Creator: Arthur, Christopher
Description: Euclid's geometry is well-known for its theorems concerning triangles and circles. Less popular are the contents of the tenth book, in which geometry is a means to study quantity in general. Commensurability and rational quantities are first principles, and from them are derived at least eight species of irrationals. A recently republished work by Johannes Kepler contains examples using polygons to illustrate these species. In addition, figures having these quantities in their construction form solid shapes (polyhedra) having origins though Platonic philosophy and Archimedean works. Kepler gives two additional polyhedra, and a simple means for constructing the “divine” proportion is given.
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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.
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Comparison of Some Mappings in Topology

Comparison of Some Mappings in Topology

Date: January 1964
Creator: Aslan, Farhad
Description: The main purpose of this paper is the study of transformations in topological space and relationships between special types of transformations.
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A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads

A Method for Approximating the Distributed Loads of an Airplane by Sets of Point Loads

Date: 1957
Creator: Austin, Charles Wayne
Description: This paper gives the derivation of a method for determining the forces to be applied to these points which will simulate the load distributed over all the airplane.
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Near-Rings

Near-Rings

Date: May 1972
Creator: Baker, Edmond L.
Description: The primary objective of this work is to discuss some of the elementary properties of near-rings as they are related to rings. This study is divided into three subdivisions: (1) Basic Properties and Concepts of Near-Rings; (2) The Ideal Structure of Near-Rings; and (3) Homomorphism and Isomorphism of Near-Rings.
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Completely 0-Simple Semigroups

Completely 0-Simple Semigroups

Date: August 1968
Creator: Barker, Bruce W.
Description: The purpose of this thesis is to explore some of the characteristics of 0-simple semigroups and completely 0-simple semigroups.
Contributing Partner: UNT Libraries
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