AbstractsMathematics

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, fundamental principles involved in the algebraic solution of equations. In carrying out this aim we have found it necessary to generalize certain methods of procedure still more than is done in the extant treatments of this subject, to formulate some of the theorems differently, and most of all to define the Galois group of an equation from an entirely new point of view.