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Now showing items 1-10 of 10

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 well-known properties of functions - treating them from the graphic standpoint entirely and referring the reader, to the best authorities I could find, for the Algebraic ...

#### 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.

#### A vector treatment of the projective properties of plane curves

(University of Missouri, 1916)

#### 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, ...

#### 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 sign-changes in [phi]3, and the second with the number of sign-changes ...

#### Study of the convergence of series in certain orthogonal functions

(University of Missouri, 1914)

In this present paper we will develop some theorems concerning the degree of convergence of certain series, in particular a Fourier's series, a Legendre's series, and a series of Bessel's functions. Before proceeding ...

#### Generalizations of theorems from the Theory of Functions

(University of Missouri, 1915)

Text from introduction: "Practically all of the text books and lectures on the Theory of Functions of a Complex Variable treat only those functions which have a derivative in every point of some given region. This derivative ...