Browsing Theses and Dissertations (MU) by Thesis Department "Mathematics (MU)"
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A collection of graphs to accompany certain topics in the study of function theory of a real variable
(University of Missouri, 1913)In Part I of this paper, I have dealt with only wellknown properties of functions  treating them from the graphic standpoint entirely and referring the reader, to the best authorities I could find, for the Algebraic ... 
Conditionally convergent vector series
(University of Missouri, 1914)In this paper we propose to study the behavior of series of complex numbers, or of vectors in two dimensions; and to generalize this study to the case of vectors in n dimensions. The particular properties to be studied are ... 
Convergence of an infinite series
(University of Missouri, 1902)This thesis gives some of the more important tests for the convergence of an infinite series; also the conditions that must be fulfilled in order that certain operations and transformations may be applied to an infinite series. 
Convergence of infinite series
(University of Missouri, 1900)We shall define an infinite series as a succession of series formed after sum definite law. Most generally the series are actual numbers or are at least regarded as constraints, and we are concerned with their sum. There ... 
Definition of improper groups by means of axioms : a dissertation
(University of Missouri, 1906)Essentially, a group is an associative field, in which the inverse combinations are uniquely possible. This is a concise statement of the classical definition of a group. The conditions which it connotes will be used here ... 
Errors in graphical methods
(University of Missouri, 1914)The author suggests methods for determining errors in graphical computations and discusses errors in the graphical methods in the infinitesimal calculus. 
Foundations of geometry
(University of Missouri, 1901)Geometry has been called the science of indirect measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be selfevident. It is a physical science idealized. ... 
Geometry of four dimensions
(University of Missouri, 1902)In this thesis a brief outline of Four Dimensional Geometry, as far as the classification of quadrics, is attempted. 
Minimum surfaces
(University of Missouri, 1904)In this dissertation I propose to give some of the theory and develop some of the important formulas upon which Minimum Surfaces are based. In order to proceed with the development of Minimum Surfaces, it will be necessary ... 
On finite groups with special reference to Klein's Ikosaeder
(University of Missouri, 1904)In speaking of the icosahedron and other regular solids in the following work we shall include not only the space construction but also the sphere surface upon which the corners, edges and faces of the solids may be ... 
On integrals over sets of points
(University of Missouri, 1910)The developments of the last twenty years in the theory of sets of points and in the applications of this theory to the theory of functions of real variables, besides leading to a tremendous extension of the ordinary theory ... 
On some classes of nonanalytic functions of a complex variable
(University of Missouri, 1909)The fact, namely, that the analytic functions are a very limited and special class, with the additional fact that there seems to be no reason a priori why many of the theorems concerning analytic functions cannot be extended ... 
On surfaces of constant negative curvature and their deformation
(University of Missouri, 1904)We have shown that the pseudosphere is applicable to itself in an infinity of ways. Therefore these surfaces that are applicable to it can, after they are folded on the pseudosphere, be made to pass through the same ... 
On the consideration of some special points of the calculus
(University of Missouri, 1899)The subject of this paper is the study of the four problems of: (1) integration of a series term by term; (2) differentiation of a series term by term; (3) reverse of the order of integration in a double integral; (4) ... 
On the motion of a sphere on a rough horizontal plane
(University of Missouri, 1902)The problem discussed in these pages is that of the motion of a billiard ball when struck by a horizontal cue. This is a special case of the motion of a sphere on a rough horizontal plane. 
Oscillation of certain sets of orthogonal functions
(University of Missouri, 1914)In the classic memoirs of Sturm and Liouville, two classes of theorems are found concerning sets of orthogonal functions. The first deal with the number of signchanges in [phi]3, and the second with the number of signchanges ... 
Pointwise discontinuous functions
(University of Missouri, 1912)The concept of pointwise discontinuity is a fairly recent one in mathematics. Originally introduced as a convenient term in the study of integration, it has quite outgrown its former sphere of usefulness and has had an ... 
Singular solutions of differential equations of the first order
(University of Missouri, 1900)A differential equation may be formed from all algebraic equations by the elimination of the arbitrary constants between the latter and its derivatives. The number of derivations being equal to the number of arbitrary ... 
Solutions of differential equations not obtained by giving particular values to the constant of integration in the general solution
(University of Missouri, 1903)In considering the solution of Differential Equations, let the equation be taken in the form f(x,y,p)=c, in which p denotes dy/dx, and f is a rational, integral, and algebraic function of x, y, and p of degree n in p. It ... 
Some new aspects of the Galois theory
(University of Missouri, 1913)Realizing that the Galois theory of algebraic equations as commonly presented seems artificial, abstract, and intricate, we have been led in the following paper to attempt to present in a clear, tangible fashion the general, ...