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Department:
Department of Mathematics
Degree Level:
Master's
Collection:
UNT Theses and Dissertations
Abstract Measure
Date: 1957
Creator: Bridges, Robert Miller
Description: This study of abstract measure covers classes of sets, measures and outer measures, extension of measures, and planer measure.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc107950/
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/
Additive Functions
Date: June 1963
Creator: McNeir, Ridge W.
Description: The purpose of this paper is the analysis of functions of real numbers which have a special additive property, namely, f(x+y) = f(x)+f(y).
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc108204/
The Analogues for t-Continuity of Certain Theorems on Ordinary Continuity
Date: 1941
Creator: Parrish, Herbert C.
Description: This study investigates the relationship between ordinary continuity and t-continuity.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc75274/
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
Permallink:digital.library.unt.edu/ark:/67531/metadc97030/
Applications in Fixed Point Theory
Date: December 2005
Creator: Farmer, Matthew Ray
Description: Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. Several applications of Banach's contraction principle are made. Some of these applications involve obtaining new metrics on a space, forcing a continuous map to have a fixed point, and using conditions on the boundary of a closed ball in a Banach space to obtain a fixed point. Finally, a development of the theorem due to Browder et al. is given with Hilbert spaces replaced by uniformly convex Banach spaces.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc4971/
Atmospheric Gusts and Their Effect on Aircraft
Date: August 1958
Creator: Walling, Waunnetta Keene
Description: This thesis investigates atmospheric gusts and their effect on aircraft.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc108016/
Basic Fourier Transforms
Date: January 1962
Creator: Cumbie, James Randolph
Description: The purpose of this paper is to develop some of the more basic Fourier transforms which are the outgrowth of the Fourier theorem. Although often approached from the stand-point of the series, this paper will approach the theorem from the standpoint of the integral.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc130482/
Borel Determinacy and Metamathematics
Date: December 2001
Creator: Bryant, Ross
Description: Borel determinacy states that if G(T;X) is a game and X is Borel, then G(T;X) is determined. Proved by Martin in 1975, Borel determinacy is a theorem of ZFC set theory, and is, in fact, the best determinacy result in ZFC. However, the proof uses sets of high set theoretic type (N1 many power sets of ω). Friedman proved in 1971 that these sets are necessary by showing that the Axiom of Replacement is necessary for any proof of Borel Determinacy. To prove this, Friedman produces a model of ZC and a Borel set of Turing degrees that neither contains nor omits a cone; so by another theorem of Martin, Borel Determinacy is not a theorem of ZC. This paper contains three main sections: Martin's proof of Borel Determinacy; a simpler example of Friedman's result, namely, (in ZFC) a coanalytic set of Turing degrees that neither contains nor omits a cone; and finally, the Friedman result.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc3061/
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.
Contributing Partner: UNT Libraries
Permallink:digital.library.unt.edu/ark:/67531/metadc83479/