Now showing items 1-14 of 14

  • Convergence of an infinite series 

    Hamlin, Truman Leigh (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 

    Moore, Carl Manford (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 

    Hurwitz, Wallie Abraham, 1886-1958 (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 ...
  • Foundations of geometry 

    Gladney, Andrew Gaston (University of Missouri, 1901)
    Geometry has been called the science of in-direct measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be self-evident. It is a physical science idealized. ...
  • Geometry of four dimensions 

    Ingold, Louis, b. 1872 (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 

    Rabourn, Sara Brewer (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 

    Walker, Mary Shore (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 some classes of non-analytic functions of a complex variable 

    Weeks, Eula Adeline (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 

    Zeigel, William Henry (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 motion of a sphere on a rough horizontal plane 

    Hatcher, Fanny Bell (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.
  • Singular solutions of differential equations of the first order 

    Fleet, Robert Ryland (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 

    Perry, Thomas Benton (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 ...
  • The treatment of irrational numbers in the secondary schools 

    Hedges, Peter Thompson (University of Missouri, 1908)
    The subject matter of this paper was suggested by the belief that a treatment of irrational numbers, from the stand point of the "cut" number, has certain points of superiority over the common treatment from the standpoint ...
  • Vectors in four dimensions 

    Pemberton, Walker S. (University of Missouri, 1909)
    The interest attaching to n-dimensional geometry comes chiefly from two sources, first the light thrown upon analysis by a geometric interpretation of its results when more than three variables are involved, and second, ...