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Theory and Methods in Determining the Eigenvalues and Eigenvectors of a Matrix

Description: In the numerous problems of matrix algebra, one finds the problem of determining the eigenvalues of eigenvectors of a matrix quite frequently. The theory and methods leading to the solution of the eigenvalue and eigenvector problem are of considerable interest. The relation between vector spaces, matrices, eigenvalues, and eigenvectors is to be considered in this chapter, with particular concentration directed toward the eigenvalues and eigenvectors shall be developed in the following chapter… more
Date: August 1965
Creator: Waldon, Jerry Herschel
Partner: UNT Libraries
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Some Properties of the Cantor Set

Description: The purpose of this paper is to explore some of the properties of the Cantor set and to extend the idea of this set to metric spaces, in general, and to other sets of real numbers and sets in N-dimensional Euclidean space, in particular.
Date: August 1965
Creator: Ward, Jo Alice
Partner: UNT Libraries
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On the Existence and Uniqueness of Solutions of Two Differential Equations

Description: The purpose of this paper is to study two differential equations. A method of approximation by iteration is used to define sequences of functions which converge to solutions of these equations. Some properties of the solutions are proved for general boundary conditions and certain special solutions are studied in detail.
Date: August 1965
Creator: Keath, Mary Katherine
Partner: UNT Libraries
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The Convolution Ring

Description: This paper deals with the development of the convolution ring and the construction of a field from this ring.
Date: August 1965
Creator: McCormick, Robert E.
Partner: UNT Libraries
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Pseudo-groups

Description: This thesis examines pseudo-groups and complex groupable lattices.
Date: January 1965
Creator: Weitner, W. Cleo
Partner: UNT Libraries
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Concerning linear spaces

Description: The basis for this thesis is H. S. Wall's book, Creative Mathematics, with particular emphasis on the chapter in that book entitled "More About Linear Spaces."
Date: June 1965
Creator: Gilbreath, Joe
Partner: UNT Libraries
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The Structure of a Boolean Algebra

Description: The purpose of this chapter is to develop a form of a "free" Boolean algebra with Σ as a base, by imposing the usual Boolean operations on the set Σ and thus generating new elements freely within explicitly prescribed restrictions.
Date: August 1965
Creator: Bryant, June Anne
Partner: UNT Libraries
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Automorphism Groups

Description: This paper will be concerned mainly with automorphisms of groups. The concept of a group endomorphism will be used at various points in this paper.
Date: August 1965
Creator: Edwards, Donald Eugene
Partner: UNT Libraries
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The Laplace Transformation

Description: A set of definitions, theorems and proofs to describe the Laplace transformation.
Date: August 1965
Creator: Floyd, Russell
Partner: UNT Libraries
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Equivalence Classes of Cauchy Sequences of Rational Numbers

Description: 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
Partner: UNT Libraries
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Sequences of Real Numbers

Description: 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.
Partner: UNT Libraries
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Ideals in Semigroups

Description: This thesis investigates ideals in semigroups.
Date: January 1965
Creator: Rodgers, Samuel A.
Partner: UNT Libraries
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Measure Functions

Description: This thesis examines measure functions. A measure function has as its domain of definition a class of sets. It also must satisfy a certain additive condition. To state a concise definition of a measure function, it is convenient to define set function and completely additive set function.
Date: August 1965
Creator: Ottwell, Otho F.
Partner: UNT Libraries
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