The University of Texas at Austin

Department of Mathematics

Ph.D.’s Awarded 1916 – Present

Degrees Awarded 1916

Horton, Goldie Printis

Supervisors: H. J. Ettlinger, M. B. Porter, E. L. Dodd

Dissertation: Functions of limited variation and Lebesgue integrals

Degrees Awarded 1923

Wilder, Raymond Louis

Supervisor: R. L. Moore

Dissertation: Concerning continuous curves

Degrees Awarded 1925

Lubben, Renke Gustov

Supervisor: R. L. Moore

Dissertation: The double elliptic case of the Lie-Riemann-Helmholtz-Hilbert

problem of the foundations of geometry.

Degrees Awarded 1927

Whyburn, Gordon Thomas

Supervisor: R. L. Moore

Dissertation: Concerning continua in the plane

Whyburn, William Marvin

Supervisor: H. J. Ettlinger

Dissertation: Linear boundary value problems for ordinary differential equations

and their associated difference equations

Degrees Awarded 1929

Reid, William Thomas

Supervisor: H. J. Ettlinger

Dissertation: Properties of Solutions of an Infinite System of Ordinary Linear

Differential Equations of the First Order with Auxiliary Boundary Conditions

Roberts, John Henderson

Supervisor: R. L. Moore

Dissertation: Concerning non-dense plane continua

Degrees Awarded 1930

Cleveland, Clark Milton

Supervisor: R. L. Moore

Dissertation: On the existence of acyclic curves satisfying certain conditions with

respect to a given continuous curve

Dorroh, Joe Lee

Supervisor: R. L. Moore

Dissertation: Some metric properties of descriptive planes

Degrees Awarded 1931

Hale, William Richard

Supervisor: H. J. Ettlinger

Dissertation: A study of the mathematical processes used in sixteen gainful

occupations in Nashville, Tennessee

Degrees Awarded 1932

Klipple, Edmund Chester

Supervisor: R. L. Moore

Dissertation: Spaces in which there exists contiguous points

Vickery, Charles Watson

Supervisor: R. L. Moore

Dissertation: Spaces in which there exist uncountable sequences of points

Degrees Awarded 1933

Basye, Robert Eugene

Supervisor: R. L. Moore

Dissertation: Simply connected sets

Degrees Awarded 1935

Jones, Floyd Burton

Supervisor: R. L. Moore

Dissertation: Concerning R. L. Moore’s Axiom 5₁

Degrees Awarded 1937

Hamilton, Olan Harvey

Supervisor: H. J. Ettlinger

Dissertation: Non-unique solutions of first order ordinary differential equations

Degrees Awarded 1939

Eaves, Edgar D.

Supervisor: E. G. Keller

Dissertation: The double-slot, salient field pole problem of the dynamo-electric

machine

Smith, Herman Walton

Supervisor: H. J. Ettlinger

Dissertation: The oscillation of solutions of the general self-adjoint differential

equation of the fourth order with special boundary conditions

Straiton, Archie Waugh

Supervisor: S. L. Brown

Dissertation: Solution of analytic and differential equations by

harmonic processes

Degrees Awarded 1941

Biesele, Ferdinand Charles

Supervisor: H. S. Vandiver

Dissertation: Substitutes for the commutative law in the theory of semi-groups

Miller, Harlan Cross

Supervisor: R. L. Moore

Dissertation: On compact unicoherent continua

Sorgenfrey, Robert Henry

Supervisor: R. L. Moore

Dissertation: Concerning triodic continua

Swain, Robert Lomond

Supervisor: R. L. Moore

Dissertation: I. Proper and reductive transformations. II. Continua obtained from

sequences of simple chains of point sets. III. Distance axioms in Moore

spaces. IV. Linear metric space. V. A space in which there may exist

uncountable convergent sequences of points

Degrees Awarded 1942

Young, Gail Sellers

Supervisor: R. L. Moore

Dissertation: Concerning the outer boundaries of certain connected domains

Degrees Awarded 1945

Bing, R. H.

Supervisor: R. L. Moore

Dissertation: Concerning simple plane webbs

Degrees Awarded 1947

Edwin Moise

Supervisor: R. L. Moore

Dissertation: An indecomposable Plane Continuum

Degrees Awarded 1948

Anderson, Richard Davis

Supervisor: R. L. Moore

Dissertation: Concerning upper semi-continuous collections of continua

Degrees Awarded 1949

Estill, Mary Ellen

Supervisor: R. L. Moore

Dissertation: Concerning Abstract Spaces

Degrees Awarded 1950

Copp, George

Supervisor: Hubert S. Wall

Dissertation: Some convergence regions for a continued fraction

Lane, Ralph Eldon

Supervisor: Hubert S. Wall

Dissertation: Sequences of points in the complex plane

Sharp, James Martin

Supervisor: Simpson Brown

Dissertation: The investigation of mathematical functions with a

harmonic synthesizer

Degrees Awarded 1951

al-Bassam, Mohammed Ali Abdul-Amir

Supervisor: H. J. Ettlinger

Dissertation: Holmgren-Riesz transform

Barrett, John Herbert

Supervisor: H. J. Ettlinger

Dissertation: Ordinary differential equations of non-integral order

Burgess, Cecil Edmund

Supervisor: R. L. Moore

Dissertation: Concerning continua and their complementary domains in the plane

Faircloth, Olin B.

Supervisor: H. S. Vandiver

Dissertation: On the number of solutions of some general types of equations in a

finite field

Mac Nerney, John Sheridan

Supervisor: Hubert S. Wall

Dissertation: Continued fractions in which the elements are operators in a linear

space

Degrees Awarded 1952

Ball, Billy Joe

Supervisor: R. L. Moore

Dissertation: Concerning continuous and equicontinuous collections of arcs

Dyer, Sherman Eldon

Supervisor: R. L. Moore

Dissertation: Certain conditions under which the sum of the elements of a

continuous collection of continua is an arc

Hamstrom, Mary Elizabeth

Supervisor: R. L. Moore

Dissertation: Concerning webs in the plane

Porcelli, Pasquale

Supervisor: Hubert S. Wall

Dissertation: Uniform completeness of sets of reciprocals of linear functions

Degrees Awarded 1953

Bradford, William Henry

Supervisor: R. N. Haskell

Dissertation: Sub-Biharmonic Functions

Clarkson, Mark Hall

Supervisor: H. J. Ettlinger

Dissertation: A second-order theory for three-dimensional wings in supersonic

flow

Slye, John Marshall

Supervisor: R. L. Moore

Dissertation: Flat spaces for which the Jordan curve theorem holds true

Townsend, Bill Braden

Supervisor: Homer V. Craig

Dissertation: Certain metric extensors

Degrees Awarded 1954

Abraham, Clair Eugene

Supervisor: H. J. Ettlinger

Dissertation: Partial integro-differential equations and the H-R transform

Nicol, Charles Albert

Supervisor: H. S. Vandiver

Dissertation: Generating functions for restricted partitions and the Von Sterneck

number

Osborn, Roger Cook

Supervisor: E. W. Titt

Dissertation: Integration formulae for the hyperbolic partial differential equation

with four independent variables and regions interior to the cone

Temple, William Benson

Supervisor: William T. Guy, Jr. and Homer V. Craig

Dissertation: Stieltjes integral representation of convex functions

Degrees Awarded 1955

Donaldson, Fletcher William

Supervisor: E. W. Titt

Dissertation: Integration formulae and boundary conditions for the elliptic

parabolic partial differential equation with three independent variables

Higgins, Theodore Parker

Supervisor: William T. Guy, Jr.

Dissertation: On the Hankel transform

Mohat, John Theodore

Supervisor: R. L. Moore

Dissertation: Concerning spirals in the plane

Pearson, Bennie Jake

Supervisor: R. L. Moore

Dissertation: A connected point set in the plane which spirals down on each of its

points

Worthington, Lawrence Grady

Supervisor: E. W. Titt

Dissertation: Integration formulae and boundary conditions for the hyperbolic

equation with three independent variables and regions exterior to the cone

Degrees Awarded 1956

Armentrout, Steve

Supervisor: R. L. Moore

Dissertation: On spirals in the plane

McCulley, William Straight

Supervisor: E. W. Titt

Dissertation: Integration formulae and boundary conditions for the hyperbolic

differential equation with three independent variables and regions interior

to the cone

Wall, Basil Morgan

Supervisor: Hubert S. Wall

Dissertation: Some convergence sets for a continued fraction

Weaver, Milo Wesley

Supervisor: H. S. Vandiver

Dissertation: The application of cosets and correspondence in the theory of

semi-groups

Degrees Awarded 1957

Culwell, Paul Ross

Supervisor: H. J. Ettlinger

Dissertation: Interated Holmgren-Riesz transforms in two dimensions

Dawson, David Fleming

Supervisor: Hubert S. Wall

Dissertation: Continued fractions with absolutely convergent even or odd part

Kelisky, Richard Paul

Supervisor: H. S. Vandiver

Dissertation: Interrelations between the numbers of Bell, Bernoulli, Euler,

Fibonacci, and Lucas

Mahavier, William Stockton

Supervisor: R. L. Moore

Dissertation: A theorem on spirals in plane

Neuberger, John William

Supervisor: Hubert S. Wall

Dissertation: Continuous products and nonlinear integral equations

Degrees Awarded 1958

Appling, William David L.

Supervisor: Hubert S. Wall

Dissertation: Concerning integrals

Fitzpatrick, Ben

Supervisor: H. J. Ettlinger

Dissertation: Operator matrices and systems of linear partial differential

equations

Heller, Robert

Supervisor: Hubert S. Wall

Dissertation: Some convergence theorems for continued fractions

Treybig, Leon Bruce

Supervisor: R. L. Moore

Dissertation: Concerning locally peripherally separable spaces

Tucker, Don Harrell

Supervisor: H. J. Ettlinger

Dissertation: Absolutely continuous solutions of Uxy=f(x,y,u,u_x,u_y)

Wells, James Howard

Supervisor: Hubert S. Wall

Dissertation: Concerning the Hausdorff inclusion problem

Younglove, James Newton

Supervisor: R. L. Moore

Dissertation: Concerning dense metric subspaces of certain

nonmetric spaces

Degrees Awarded 1959

Helton, Burrell Washington

Supervisor: Hubert S. Wall

Dissertation: Product Integrals

Henderson, George Walter

Supervisor: R. L. Moore

Dissertation: Proof that every compact continuum which is topologically equivalent to each of its nondegenerate subcontinua is an arc

Degrees Awarded 1960

Batson, Lewis Edwin

Supervisor: William T. Guy, Jr.

Dissertation: On Inversion of the Laplace Transformation by means of a step

function

Buckholtz, James Donnell

Supervisor: Hubert S. Wall

Dissertation: Concerning polynomial sequences and the distribution of their

zeros

Deaton, Edmund Ike

Supervisor: H. J. Ettlinger

Dissertation: Solutions of a system of two nonlinear partial differential equations

of the first order, with accessory boundary equations

Dyer, James Arthur

Supervisor: Alfred Schild

Dissertation: On the consequences of momentum conservation laws in a

gravitational theory of the Whitehead type

Webb, James Ramsey

Supervisor: R. E. Lane

Dissertation: A Hellinger Integral representation for bounded linear functionals

Degrees Awarded 1961

Drobnies, Saul Isaac

Supervisor: Hubert S. Wall

Dissertation: Concerning the uniform polynomial approximation of a bounded

function

Ellis, Homer Godsey

Supervisor: Hubert S. Wall

Dissertation: Solutions of analytic equations and solutions of first order,

analytic differential equations

Glasgow, Mark Othello

Supervisor: R. E. Greenwood

Dissertation: Some Marginal Distributions associated with permutation cycles

Hayden, Thomas Lee

Supervisor: Hubert S. Wall

Dissertation: A convergence problem for continued fractions

Sister Mary Clarice Sparkman

Supervisor: H. J. Ettlinger

Dissertation: Relationships and analogue between the finite calculus and the

limit calculus of polynomials

Walston, Dale Edouard

Supervisor: H. J. Ettlinger

Dissertation: An Existence and Uniqueness Theorem for Integro-partial

differential equations

Worrell, John Mays, Jr.

Supervisor: R. L. Moore

Dissertation: Concerning scattered point sets

Degrees Awarded 1962

Brannen, Joseph Patrick

Supervisor: Hubert S. Wall

Dissertation: On Sequence to Sequence Transformations

Cook, Howard

Supervisor: R. L. Moore

Dissertation: On the most general plane closed point set through which it is

possible to pass a pseudo-arc

Cornette, James Lawson

Supervisor: R. L. Moore

Dissertation: Continuumwise Accessibility

Dorroh, James Robert

Supervisor: Hubert S. Wall

Dissertation: Integral Equations in Normed Abelian Groups

Haddad, Hadi M. H.

Supervisor: Hubert S. Wall

Dissertation: Convergent Chain Sequences

Hansen, Donald Joseph

Supervisor: Don E. Edmondson

Dissertation: Structure theorems for Boolian Matrices

Innis, George Seth

Supervisor: H. B. Curtis

Dissertation: On the problem of Type and the Uniformizing Function for

Certain Riemann Surfaces

Knopp, Paul Joseph

Supervisor: H. B. Curtis

Dissertation: A Topological space of analytic functions

Reichhardt, Richard William

Supervisor: R. E. Lane

Dissertation: The integral of a function with respect to a function pair

White, John Thomas

Supervisor: William T. Guy, Jr.

Dissertation: A Representation Theorem for the Laplace Transform

Degrees Awarded 1963

Atchison, Thomas Andrew

Supervisor: H. B. Curtis

Dissertation: A class of Riemann surfaces

Calder, James Richard

Supervisor: Hubert S. Wall

Dissertation: Concerning Completely Convex Sets

Clinger, Barbara Ann

Supervisor: Don E. Edmondson

Dissertation: Structure theorems for a class of groups

Coleman, William P.

Supervisor: Hubert S. Wall

Dissertation: A study of the structure of linear spaces

Darwin, James Thomas

Supervisor: Hubert S. Wall

Dissertation: Some Theorems on functional analysis

Ehrlich, Louis William

Supervisor: David M. Young, Jr.

Dissertation: The Block Symmetric Successive Overrelaxation Method

Falbo, Clement Earl

Supervisor: H. J. Ettlinger

Dissertation: Some Generalized Green’s Functions

Jolly, Robert Franklin

Supervisor: Hubert S. Wall

Dissertation: Concerning a Functional Inequality

Leininger, Charles William

Supervisor: Hubert S. Wall

Dissertation: Concerning a mean integral

Perryman, John Keith

Supervisor: William T. Guy, Jr.

Dissertation: A class of integral transforms for functions which

are O(e^bt2) as t->

Stokes, Russell Aubrey

Supervisor: Hubert S. Wall

Dissertation: An Integral of a function with respect to a function in a

rectangular interval

Degrees Awarded 1964

Murray, Christopher Brock

Supervisor: Hubert S. Wall

Dissertation: On the mean integral

Robinson, Charles Dee

Supervisor: Hubert S. Wall

Dissertation: Orthogonality in normed linear spaces

Rodin, Ervin Yechiel-Laszlo

Supervisor: William T. Guy, Jr.

Dissertation: A generalization of the Laplace transform

Ryan, Donald Edwin

Supervisor: James E. Scroggs

Dissertation: A Banach algebra of analytic functions

Schawe, David Paul

Supervisor: Hubert S. Wall

Dissertation: Cauchy sequences in abstract spaces

Stewart, A. D.

Supervisor: H. J. Ettlinger

Dissertation: On the Abel equation in n-dimensions, n equal or more than 2

Stocks, Douglas Roscoe

Supervisor: Robert E. Greenwood

Dissertation: Concerning certain lattice paths and lattice point theorems

Vick, George Robert

Supervisor: Don E. Edmondson

Dissertation: Psuedo-Metric axioms of a Euclidean geometry

Wang, Hsuan-Heng

Supervisor: Robert T. Gregory

Dissertation: On the tridiagonalizaton of a non-Hermitian matrix using similarity

transformations

Whitmore, Ralph Martin

Supervisor: H. J. Ettlinger

Dissertation: On the mixed partial derivative operator and its inverse

Zund, Joe David

Supervisor: Alfred Schild

Dissertation: Degenerate fields with twisting rays

Degrees Awarded 1965

Baker, Blanche Joanne Monger

Supervisor: R. L. Moore

Dissertation: Concerning uncountable collections of triods

Baker, Harvey Lee, Jr.

Supervisor: R. L. Moore

Dissertation: Complete amonotonic collections

Borm, Alfred Ervin

Supervisor: Don E. Edmondson

Dissertation: On the lattice of continuous functions on a completely regular

G(d)-space

Elliott, Roger William

Supervisor: Robert T. Gregory

Dissertation: A model for a fact retrieval system

Hudson, Francis Marion

Supervisor: William T. Guy, Jr.

Dissertation: A generalization of the finite Fourier transformations

Maher, Laurence Paul, Jr.

Supervisor: Hubert S. Wall

Dissertation: A generalization of the real-number axioms

Pratt, Terrence Wendall

Supervisor: Robert T. Gregory

Dissertation: Syntax-directed translation for experimental programming languages

Reed, Dennis Keith

Supervisor: R. L. Moore

Dissertation: Concerning upper semi-continuous collections of finite point sets

Roach, Everett Dwight

Supervisor: Hubert S. Wall

Dissertation: An integral

Tulloch, Lynn Hardyn

Supervisor: H. J. Ettlinger

Dissertation: Operation solution of partial derivative equations of hyperbolic

and parabolic type

Young, Sam Wayne

Supervisor: Hubert S. Wall

Dissertation: Uniform completeness of sets generated by a single function

Degrees Awarded 1966

Boullion, Thomas Loris

Supervisor: Patrick L. Odell

Dissertation: Contributions to the theory of pseudo inverses

Bowman, Robert Hunt

Supervisor: Homer V. Craig

Dissertation: Contribution to the theory of extensive differentiation and

Davis, Thomas Franklin

Supervisor: Don E. Edmondson

Dissertation: (f)-derivations on a ring

Falconer, David Ross

Supervisor: Patrick L. Odell

Dissertation: Contributions to the theory of numerical simulation

Frank, Thurman Gustav

Supervisor: David M. Young, Jr.

Dissertation: Error bounds on numerical solutions of Dirichlet problems

for quasilinear elliptic equations

Gray, Henry Luther

Supervisor: William T. Guy, Jr.

Dissertation: The Holmgren-Riesz transform and its applications

Hadlock, Frank Owen

Supervisors: Clarence Coates, Jr. and Patrick L. Odell

Dissertation: Realization of sequential machines with threshold elements

Harrell, Carl Edward

Supervisor: Hubert S. Wall

Dissertation: Concerning sequence to sequence transformations

Ikebe, Yasuhiko

Supervisor: Elliott Ward Cheney, Jr.

Dissertation: A study of operators in approximation theory

Kowalik, Virgil Cecil

Supervisor: H. J. Ettlinger

Dissertation: Concerning the nonlinear differential equations H¹(x)= f(x;H(x)),

with elements in E²

Lewis, Truman Orville

Supervisor: Patrick L. Odell

Dissertation: Application of the theory of generalized matrix inversion to

statistics

Mayes, Vivienne Lucille Malone

Supervisor: Don E. Edmondson

Dissertation: A structure problem in asymptotic analysis

McEwen, Henry Nylon

Supervisor: Don E. Edmondson

Dissertation: Automorphisms of a class of finite groups

Meicler, Marcel

Supervisor: Patrick L. Odell

Dissertation: Weighted generalized inverses with minimal p and q norms

Miller, Max Karlson

Supervisor: William T. Guy, Jr.

Dissertation: Numerical inversion of the Laplace transform by the use of

Jacobi polynomials

Molloy, Mary of the Assumption, Sister

Supervisor: Hubert S. Wall

Dissertation: A substitution theorem for a Stieltjes integral

Morris, Peter Don

Supervisor: Howard E. Lacey

Dissertation: Spaces of continuous functions on dispersed sets

Peek, Darwin Eugene

Supervisor: Hubert S. Wall

Dissertation: Pointwise limits of sequences of continuous functions

Reed, Coke Stevenson

Supervisor: Hubert S. Wall

Dissertation: Concerning pointwise limits of sequences of functions

Roach, Francis Aubra

Supervisor: Hubert S. Wall

Dissertation: Concerning the value regions associated with a certain type of continued fraction

Rogers, Jack Wyndall

Supervisor: R. L. Moore

Dissertation: A space whose regions are the simple domains of another space

Scheiblich, Herman Edward

Supervisor: Don E. Edmondson

Dissertation: Congruences on an inverse semigroup

Secker, Martin Dayss

Supervisor: R. L. Moore

Dissertation: Reversibly continuous bisensed transformations of an annulus into itself

Sheffield, Miller

Supervisor: William T. Guy, Jr.

Dissertation: Block partitioned matrix theory and solution of systems of certain

partial differential equations

Steib, Michael Lee

Supervisor: Hubert S. Wall

Dissertation: Linear transformations in a function space

Tatikonda, Lakshmi Umavijaya

Supervisor: Patrick L. Odell

Dissertation: Interval estimation of a stimulus levels of order infinity in

sensitivity testing

Tucker, Charles Thomas

Supervisor: Hubert S. Wall

Dissertation: Pointwise limits of quasi-continuous functions