This collection includes theses, dissertations, and professional papers from the University of Montana Department of Mathematical Sciences. Theses, dissertations, and professional papers from all University of Montana departments and programs may be searched here.

#### Theses/Dissertations from 1975

ON QUASI-TOPOI: LOGIC AND EXAMPLES, Susan Stamm Lenker

ORDER RELATIONS IN THERMODYNAMICS, Terry David Lenker

#### Theses/Dissertations from 1973

Mathematical linguistics and automata theory and applications to biological growth models, Paul W. Bennett

COHOMOLOGIES FOR DYNAMICAL SYSTEMS, Edmund Peter Geyer

#### Theses/Dissertations from 1972

VALUATIONS AND PRUEFER-TYPE PROPERTIES FOR COMMUTATIVE RINGS, Bernard William Irlbeck

#### Theses/Dissertations from 1971

In the long run, Kathryn Adolph

Algebraic approach to number theory, Francis Thomas Hannick

COMPUTABLE ERROR BOUNDS FOR A NONLINEAR TWO-POINT BOUNDARY-VALUE PROBLEM, Daniel Lee Hansen

MONOTONE CONVERGENCE OF THE METHOD OF SUCCESSIVE DISPLACEMENTS, Charles Wright Schelin

Asymptotic approximations in computing, David Lowell Tranter

#### Theses/Dissertations from 1970

Random walks and applications, Allan Wayne Jensen

Tensor algebras and harmonic analysis, Martin James McFadden

Selected topics in simultaneous statistical inference, Dorothy Anne Vanderburg

#### Theses/Dissertations from 1969

Weierstrass theorem and some generalizations, Rick Billstein

Reduced residue systems in the integers and other principal ideal domains, Paul E. Herrmann

Iterative methods of matrix inversion, Harvey Craig Ogden

Linear programming for the high school student, Tom Eufrancio Salazar

Birth and death processes, Ronald Keith Wade

#### Theses/Dissertations from 1968

Real closed fields, Yean-mei Wang Chou

Fitting segmented regression curves, Kenneth P. Johnson

Growth of entire functions, Richard Dean Kruse

Ring and its complete matrix ring, Leonard Joseph McPeek

Completeness in an ordered field, Raymond Hurst Morgan

Iterative techniques for systems of nonlinear equations, Charles W. Schelin

#### Theses/Dissertations from 1967

Numerical approximation of Green's functions and resolvent kernels, Darrel L. Choate

Stability behavior of differential equations, John T. Clinker

The Weierstrass approximation theorem, Gordon M. Haight

Approximation theorems for valuations on commutative rings, Bernard William Irlbeck

Recovering a ring from a space determined by its prime ideals, Thomas Lowell Munkres

Riemannian geometry and the general theory of relativity, Marie McBride Vanisko

#### Theses/Dissertations from 1966

Numerical solution of nonlinear equations, P. W. Card

Schroder-Bernstein theorem in various algebraic systems, Margaret Alice Kem

Separation axioms in topology, Elaine D. Nelson

Three characterizations of algorithm, Elmer Luis Schuman

Properties of some non-random distributions, Curtis Strobeck

Boolean algebras and their topological duals, Edward T. Walsh

#### Theses/Dissertations from 1965

Sufficient statistics, Arlo Dennis Hendrickson

Exponential families in testing statistical hypotheses, Anton Kraft

Daniell integral, Eddward Melvin Wadsworth

Vitali-Hahn-Saks theorem and measure spaces, Patrick Neil Webber

Spectral theorem for self-adjoint compact operators, Dennis Dale Williams

#### Theses/Dissertations from 1964

Introduction to Mathieu functions, Dennis Charles Pilling

Subrings of continuous functions, Hugh D. Sullivan

#### Theses/Dissertations from 1963

Semi-Markov chains, Denny Durfee Culbertson

Topological groups, Edmund Roger Kopitzke

Metric density and approximate limits, Allen D. Luedecke

Some structure theorems for p-groups, Edward A. Peressini

Stochastic approximation, Robert Lee Svehla

Projective modules over a group Algebra, George Walter Trickey

#### Theses/Dissertations from 1962

Sturm-Liouville systems, Harry Bauer

Borel sets and Baire functions, Ralph Lee Bingham

Riemann surfaces, Hilda Herrett Holtz

Ideals varieties and valuations, Richard Joseph Konesky

Calculus of variations, Richard Samuel Nankervis

#### Theses/Dissertations from 1961

Limit theorems in probability and statistics, Michael Gannaway Billings

Methods of summation of divergent series, Robert Dean Engle

Topological rings, Merle Eugene Manis

Continuous functions defined on a sphere, Daniel George McRae

#### Theses/Dissertations from 1959

A polynomial analysis of digital computer counters, John Anderson

Separation in projective planes, John Frankino

Testing linear hypotheses, Robert James Ruden

#### Theses/Dissertations from 1958

On paracompact spaces, Gavin Bjork

Algebraic methods in topoloogy, Albert Franklin Gilman

Concerning peano spaces, John Joseph McGuire

Theorems of conformal mapping used in hyperbolic geometry, Elmer David Ramer

Concerning normal subloops, Donald Vincent Sward

#### Theses/Dissertations from 1956

Dedikind rings and valuations, Benjamin Myron Kramer

#### Theses/Dissertations from 1954

On the finite intersection of maximal regular right ideals, Verne Gerald Fauque

On two-dimensional Lebesgue measure and rectangle functions, Richard D. Remington

Concerning Borel sets and analytic sets, Sheldon T. Rio

On the existence of simple difference sets for n less than 2500, Maynard Branson Stevenson

#### Theses/Dissertations from 1953

Discussion of quadratic forms in normally distributed random variables, Thomas Arthur Bray

Some fundamental results in analysis of variance theory, Arthur Edwin Davis

Characteristic functions and moment generating functions for probability distributions, Robert Steve Dezur

Probability random variables and measure theory, Larry Clifton Hunter

Asymptotic distributions for tests of contingency hypotheses, Frank Richard Marshall

#### Theses/Dissertations from 1952

Study of elementrary calculus extended to square matrices, Norman C. Davis

#### Theses/Dissertations from 1951

Tensors as algebraic systems, John A. Peterson

#### Theses/Dissertations from 1950

On Two-Fold Generalizations of Cauchy's Lemma, Daniel Edmund Coffey

#### Theses/Dissertations from 1941

Advanced calculus in modern and theoretical physics, H. Bruce Early

Study of the Stieltjes Integral, Adrien L. Hess

#### Theses/Dissertations from 1940

Concerning the Riemann and Lebesgue integrals, Mabel J. Foster

#### Theses/Dissertations from 1939

On two-fold generalizations of Cauchy's lemma, Emma Bravo

A critical study of analysis of variance, Earl B. Gardner

#### Theses/Dissertations from 1938

Development of tests for the convergence and divergence of infinite series, Edith E. Miller

#### Theses/Dissertations from 1937

Relation of the Fourier series to the development of the functions of the real variable, Mary Vivian Huls

Axioms for geometry and analysis, William A. White

#### Theses/Dissertations from 1934

Background and technique of correlation analysis, Charles N. Mason

#### Theses/Dissertations from 1930

Projective geometry from 1822-1918, John B. Lennes

#### Theses/Dissertations from 1929

Organizing a solid analytic geometry, Elizabeth Agnes Flood

#### Theses/Dissertations from 1927

General configurations, Robert Edmondson Morris

#### Theses/Dissertations from 1924

Development of the theory of sets of points, Raymond J. Garver