Degree Discipline

Equivalence Classes of Cauchy Sequences of Rational Numbers (open access)

Equivalence Classes of Cauchy Sequences of Rational Numbers

The purpose of this thesis is to define equivalence classes of Cauchy sequences of rational numbers and the operations of taking a sum and a product and then to show that this system is an uncountable, ordered, complete field. In so doing, a mathematical system is obtained which is isomorphic to the real number system.
Date: January 1965
Creator: Darnell, Linda Jane
System: The UNT Digital Library
Ideals in Semigroups (open access)

Ideals in Semigroups

This thesis investigates ideals in semigroups.
Date: January 1965
Creator: Rodgers, Samuel A.
System: The UNT Digital Library
Pseudo-groups (open access)

Pseudo-groups

This thesis examines pseudo-groups and complex groupable lattices.
Date: January 1965
Creator: Weitner, W. Cleo
System: The UNT Digital Library
Sequences of Real Numbers (open access)

Sequences of Real Numbers

The purpose of this thesis is to examine general properties, convergence, and limit points of sequences of real numbers.
Date: January 1965
Creator: Eskew, Mark F.
System: The UNT Digital Library