This page includes lists of all known dissertations and theses in mathematics at TCU. This page is divided into two parts:
I will be updating this list once each summer.
This is a list of mathematics PhD dissertations written by TCU students in print format. These were all written during the 1960s and 70s. These are located on the first floor of the TCU Library. These are listed in author order.
Allen, Paul Jentry. Ideal theory in semirings. 1967
Aslan, Farhad. Some generalizations of metric spaces. 1969
Berzsenyi, George. Products of monodiffric functions. 1969
Bolen, James Cordell. A reproducing kernel function and convergence properties for discrete analytic functions. 1968
Boone, James Robert. Mesocompact and sequentially mesocompact spaces. 1968
Carmitchel, Robert David. Ergodic theory and the existence of strong ergodic limits. 1971
Cochener, David Justin. Projectivity and injectivity in semimodules. 1973
Daneshi, Tahereh. Monodiffric differential equations and K-th roots of monodiffric functions. 1981
Daunis, Geraldine Fuller. Metrization in a Moore space. 1967
Dean, Euda Edward. A new class of generalized nilpotent groups. 1976
Dean, Robert Gross. Some extensions of the theory of semirings. 1966
Dover, Ronald Eugene. Semisimple semirings. 1972
Drennan, David Lee. Value determining sets and bases of kernels for a functional Hilbert space. 1968
Edwards, Donald E. Essential ideals in semirings. 1973
Fields, Jerry Wayne. Linear mappings of Banach algebras and Banach algebras of vector-valued functions. 1972
Fugate, James K. Translation theory for semirings. 1971
Gray, James Michael. Green's functions and discrete demi-analytic kernels. 1970
Gresham, John Hall. A class of infinite-dimensional topological spaces with applications to the theory of retracts and selection theory. 1974
Guthrie, Joe Alston. On some generalizations of metric spaces. 1969
Harvey, James Ronald. Sequence spaces and the basis concept in Banach spaces. 1969
Henry, David Michael. On the images of a stratifiable space under certain open and psuedo-open mappings. 1970
Higgins, Stanley Bruce. Some generalizations of paracompactness. 1969
Howes, Norman Ray. Well ordered sequences. 1968
Huddleston, Robert Edward. On extending the domain of convergence of discrete harmonic kernels. 1966
Lord, Michael Erle. Further theory of operational calculus on discrete analytic functions. 1968
Marrache, Nazem M. Certain local properties of topological spaces. 1968
Martin, Jack Cornelius. Categorical bases in Banach spaces. 1970
Mastin, C. Wayne. The discrete analog of a minimum problem in conformal mapping. 1969
McGill, Suzanne. Left Goldie semirings. 1972
Morgan, Ronald Lewis. Szymanski decompositions in von Neumann algebras. 1980
Mosher, James Roberts. Generalized semirings of quotients. 1968
Owen, Aubrey Pattillo. Density topologies. 1974
Perry, Edward L. Discrete generalized functions. 1970
Petty, Joe Van. Some closure properties of classes of groups. 1975
Pigg, Donald Leon. The effect of a CZ-group structure on certain generalized solvable and generalized nilpotent classes of groups. 1975
Reagor, Mary Evelyn Pensworth. A fuzzy version of Tietze's extension theorem. 1983
Reynolds, Donald Fain. Preservation of topological properties under extensions of topologies. 1970
Richmond, Jean Beal. On shrinking and boundedly complete Schauder bases of subspaces for Banach Spaces. 1966
Salam, Dianne Joy. A semiring extension. 1970
Sconyers, Woodlea Bernard. Characterizations of certain topological structures by means of well-ordered open coverings. 1968
Segal, Arthur Cherny. A model for an extended logic. 1966
Smith, James Dennis. Simultaneous generalizations of paracompactness and semi-stratifiability. 1970
Stone, Homer Edward. Structure theory of semirings. 1969
Tabor, Charles Duane. Some theorems concerned with extensions of topologies. 1967
Talati, Kiritkumar. New bases of monodiffric polynomials. 1979
Tiller, Albert Wayne. P-commutative Banach *-algebras, involutions, and extensions of pure positive functionals. 1972
Tucker, Shirley Sue Smith. Groups of infinite exponent whose proper quotient groups are of finite exponet. 1973
Wang, Amy Huei-Mei Huang. On the equation [an integral equation]. 1974
West, Ronald Eual. Discrete analytic functions on a radial lattice. 1979
Wichmann, Josef. The theory of Banach coalgebras. 1975
Wiscamb, Margaret Reames. On symmetric neighborhood systems in metric, strongly paracompact and some other types of spaces. 1965
This is a list of all mathematics master's theses written by TCU students. These are located on the first floor of the TCU Library. These are listed in author order.
Adams, Weldon Q. A matrix method for solving linear differential equations. 1962
Baird, Roy Clark. Normal coordinates. 1958
Berzsenyi, Lillas Kay. Seminatural numbers. 1969
Boswell, Gary Taggart. Discontinuous groups and automorphic functions. 1965
Bullock, Ronald Elvin. The Wiener-Hopf technique for the solution of certain integral equations. 1963
Callahan, Janie L. A spectral theorem. 1960
Chesnut, Dorothy Lynn Brooks. Elements of field theory. 1961
Cranford, Wilson. Minimization of a function with constraints. 1959
Crawford, Clyde F. Numerical solution of a differential equation. 1960
Cutler, Doyle Otis. Certain theorems in topological analysis. 1961
Dobbins, Gordon B. Representations of a stationary time series. 1963
Drennan, David Lee. Pre-P-Rings. 1965
Ellis, Terrell. Elliptic integrals. 1930
Etter, Daniel O'Connell. An investigation of approximations by means of polynomials. 1952
Evans, Kenneth Walter. Unified treatment of the monotone class theorems of measure theory. 1980
Flowers, Billy Sinclair. LaPlace transform with applications. 1949
Friedman, Eugene Myron. Multiples of an element in an arbitrary ring. 1958
Goldbeck, Ben Theodor, Jr. Elliptic integrals and functions. 1949
Guthrie, Joe Alston. The dominators of a semigroup. 1966
Harrington, Ira Hugh. Gaussian and Dedekind rings. 1967
Harvey, James Ronald. A quantitative approach to geologic facies analysis. 1959
Hayes, Jerry Arnold. Boolean algebra. 1967
Hendricks, Sammie Lee Rampy. Motions described by the solutions of certain differential equations. 1959
Huckaby, Donald Howard. Partitioning and gauss elimination methods of matrix inversion. 1958
Ince, David. Approximate factoring of polynomials. 1958
Johnson, Tom. Criterion for the minimization of bias in a least squares approximation. 1962
Karthauser, David T. The numerical solution of ordinary differential equations with the aid of an electronic digital computing machine. 1960
Lucas, Curtis Byron. Structure of finite fields. 1963
Lysaght, Janet. Noetherian rings. 1963
May, Thomas Leslie. Covariant differentiation. 1963
McCormick, William Junior. Singularities of second order differential equations. 1964
Merz, Antony W. On the two-body problem and the restricted three-body problem. 1960
Morgan, Edith L. An application of the theory of the complex variable to the mapping of some potential functions. 1946
Nicholson, James Campbell. Some ways of defining the Riemann integral and their relations. 1967
Pigg, Donald L. On the solution of the Kuroš and Burnside conjectures. 1971
Poland, Sydney Wade. Real eigenproblems. 1962
Puckett, Charles Henry. A survey of the past and present mathematical requirement of the leading colleges and universities of the United States. 1928
Rutherford, Robbie Gene. A strain energy method for an aeroelastic analysis. 1963
Salam, Dianne Joy Mirsky. Infinite abelian groups. 1962
Self, Gloria C. Lattices. 1961
Shelburne, Elizabeth. Necessary conditions for certain problems of the calculus of variations. 1931
Shilling, Lee Gordon, Jr. Free groups. 1960
Smith, Theron Lavon. The application of ultraradicals to the solution of the general quintic. 1953
Suhler, William Charles. A nonlinear least squares solution of a special "decay" exponential equation. 1961
Thompson, Bransford Maurice. Continued fractions and zeros of polynomials. 1962
Tucker, Ernest R. Mathematics during the reformation and the renaissance. 1921
Uzzell, Bobby R. Distribution theory. 1966
Wall, Charles Robert. Sums and differences of generalized Fibonacci numbers. 1964
Whiteside, Oscar Rex. The Cooperative Algebra test and The ACE Psychological quantitative test as predictors of mathematical success for engineering majors at Arlington State College. 1961
Whitfield, John H. M. Finite-dimensional inner product spaces. 1962
Wyatt, Joe B. Some topological classifications of continuous functions. 1961
