Degree Discipline
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Some Theorems from Plane Lobachevskian Geometry
This paper will investigate the geometry that results when Euclid's fifth postulate is replaced by the Lobachevskian assumption. The investigations will be limited to the plane.
Date:
June 1961
Creator:
Walker, Henry L.
System:
The UNT Digital Library
Properties of Order Relations and Certain Partly Ordered Systems
The purpose of this paper is to present a study of partly ordered sets. It includes a rigorous development of relations based on the notion of a relation as a set, lattices, and theorems concerning the lattice of subgroups of a group.
Date:
June 1961
Creator:
Barros, David Nicholas
System:
The UNT Digital Library
Theory of Congruences
This thesis presents a series of theorems along with proofs to establish a theory of congruences.
Date:
June 1961
Creator:
Green, Harold Rugby
System:
The UNT Digital Library
The Runge-Kutta Method
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
System:
The UNT Digital Library