Présentation de l'éditeur
In presenting the following pages we are attempting to introduce a method for the solution of equations of any degree which we believe to be novel and simple. A method that resorts to no artificial nor indirect processes for the completion of the given quantity to produce perfect squares; nor any mathematical substitution or jugglerythat may lead the student to fields not strictly algebraic, involving trigonometry, graphics, or the various processes sometimes resorted to in the solution of equations of a higher degree than the quad |ratic. JW ebelieve the method to be direct, simple and strictly in l| accordance with the common sense dictates of the given vequation, to be solved ;to illustrate, if bxw=c and the value ki of Xbe required ;we divide cby the coefficient of xand --I extract then root of the unknown quantity and so on throughout for any given power or number of terms when 1the exponents are integers or can be readily transformed to v. integral powers. -J The first chapter is devoted to a comprehensive review on 5the binomial formula upon which the solution of the method herein given is solely based, and the processes of involution |and evolution. These topics have been dealt with thori oughly so far as it has been thought necessary and helpful to .explain this method. tI nthe chapter on equations, we have added some of the the theory of equations, such as Descartes Rule, and the theory showing the relation between the coefficient of (jt:) jand the roots of the equation (x) =0: and as much more as was thought useful and necessary.
(Typographical errors above are due to OCR software and don't occur in the book.)
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