Browsing Master's Theses (Mathematics) by Title

Now showing items 27-39 of 39

Solvability of equations by radicals

Brown, Robert Wallace (1952-04-25)
Solving polynomial equations from 2000 B.C. through 20th century

Farea, Hussain A. (1994-07-25)

This paper is divided into two parts. The first part traces (in details providing proofs and examples) the history of the solutions of polynomial equations(of the first, second, third, and fourth degree) by radicals f ...
Spatial ability and mathematics

Schmidt, Stephen M. (2001-05-30)

Understanding mathematics and teaching mathematics involve numerous factors, one of which may be an individual's spatial ability. This paper examines research conducted on the relationship between spatial abilities an ...
Spectral integration and the numerical solution of two-point boundary value problems

Norris, Gordon F. (1999-09-22)

Spectral integration methods have been introduced for constant-coefficient two-point boundary value problems by Greengard, and pseudospectral integration methods for Volterra integral equations have been investigated b ...
Stochastic geometry with applications to river networks

Peckham, Scott (1990-02-14)

Empirical observations have established connections between river network geometry and various hydrophysical quantities of interest. Since rivers can be decomposed into basic components known as links, one would like t ...
The structure of preordered sets and their topological properties

Bu, How-shone (1972-03-27)

Let X be a set. Given any preorder < on the set X, there corresponds a family of subsets of X, namely, WIx E x} where L = {y y E X y <x} such that, for all elements x and y of X, x <y iff L ( L. In this thesis, it is sho ...
Thermodynamic correction for salts in variably saturated porous media

Burns, Erick R. (2004-05-26)

Using thermodynamic principles, the general relationship describing the equilibrium vapor content in the gas phase above a saline liquid and across a curved liquid-gas interface is developed. Since high salt concentrat ...
Time dependent wavemaker problem for linear waves

Cooper, Julia M. (1989-05-18)

The classical two-dimensional wavemaker problem is formulated for linear waves. Two conformal mappings are applied to the mathematical formulation to transform the wavemaker problem into a unit disk. It is then shown ...
Towards an analytical model for carbon storage in forested landscapes

Ngo, Nam V. (2006-07-24)

An analytical model is developed to address the question of how different disturbance regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five po ...
Upscaling non-Darcy flow using mixed finite element method

Garibotti, Cristiano Rodrigues (2007-05-09)

In this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasil ...
Using p-adic valuations to decrease computational error

Limmer, Douglas J. (1993-06-08)

The standard way of representing numbers on computers gives rise to errors which increase as computations progress. Using p-adic valuations can reduce error accumulation. Valuation theory tells us that p-adic and stand ...
The violin's sound : a mathematical exploration employing principles of continuum mechanics and numerical methods

Gyde, Nina J. (2003-06-03)

This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibratin ...
Waves and fractals

Gilliland, Crystal L. (1991-12-05)

The goal of this research project is to determine the fractal nature, if any, which surface water waves exhibit when viewed on a microscopic scale. Due to the relatively recent development of this area of mathematics, ...