Excerpt from Theory and Solution of Algebraical Equations of the Higher Orders
The present work is an endeavour to exhibit a comprehensive view of the Theory and Solution of Algebraical Equations; especially in reference to that more important department of the subject, which relates to the practical analysis and computation of the roots when the coefficients of the equation are given numbers.
I am not aware of the existence of any work in which so ample a discussion of the general problem of the solution of numerical equations is furnished as that which is attempted, however imperfectly, in the following pages.
The main topics of this discussion are indeed but very recent contributions to science, made by different persons, at comparatively short intervals, within the last twenty or thirty years; and are as yet too imperfectly known and estimated to have become generally incorporated into our systems of analysis.
But the importance of these recent additions to our knowledge, in a branch of inquiry of so much practical consequence as the solution of numerical equations, in which all existing methods were felt to be so limited and imperfect, seemed sufficient to justify even reiterated endeavours to introduce them into general notice, and to urge their claims to general adoption.
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