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A Development of the Peano Postulates

Description: The purpose of this paper is to develop the Peano postulates from a weaker axiom system than the system used by John L. Kelley in General Topology. The axiom of regularity which states "If X is a non-empty set, then there is a member Y of X such that the intersection of X and Y is empty." is not assumed in this thesis. The axiom of amalgamation which states "If X is a set, then the union of the elements of X is a set." is also not assumed. All other axioms used by Kelley relevant to the Peano p… more
Date: May 1963
Creator: Peek, Darwin Eugene
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Some Generalizations in the Theory of Summable Series

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.
Date: August 1950
Creator: Penner, Jimmie G.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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The Runge-Kutta Method

Description: This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution. The derivation of the method itself is followed by an analysis of the inherent error.
Date: June 1961
Creator: Powell, Don Ross
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Some Diophantine Equations

Description: This paper will be devoted to an examination of several general and specific equations and systems of equations of the diophantine type. Only algebraic equations with integral coefficients, not all zero, will considered. The elementary properties of the integers will be assumed.
Date: January 1960
Creator: Pressly, Kirby Smith
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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An Approximate Solution to the Dirichlet Problem

Description: In the category of mathematics called partial differential equations there is a particular type of problem called the Dirichlet problem. Proof is given in many partial differential equation books that every Dirichlet problem has one and only one solution. The explicit solution is very often not easily determined, so that a method for approximating the solution at certain points becomes desirable. The purpose of this paper is to present and investigate one such method.
Date: August 1964
Creator: Redwine, Edward William
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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The Effectiveness of a Guided Discovery Method of Teaching in a College Mathematics Course for Non-Mathematics and Non-Science Majors

Description: The purpose of this study was to ascertain the value, as determined by student achievement, of using a discovery method of teaching mathematics in a college freshman mathematics course for non-mathematics and non-science majors.
Date: January 1969
Creator: Reimer, Dennis D., 1940-
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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A Generalization of Sturmian Sequences: Combinatorial Structure and Transcendence

Description: We investigate a class of minimal sequences on a finite alphabet Ak = {1,2,...,k} having (k - 1)n + 1 distinct subwords of length n. These sequences, originally defined by P. Arnoux and G. Rauzy, are a natural generalization of binary Sturmian sequences. We describe two simple combinatorial algorithms for constructing characteristic Arnoux-Rauzy sequences (one of which is new even in the Sturmian case). Arnoux-Rauzy sequences arising from fixed points of primitive morphisms are characterized by… more
Date: August 1998
Creator: Risley, Rebecca N.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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