Excerpt from On the Theory and Solution of Algebraical Equations: With the Recent Researches of Budan, Fourier, and Sturm, on the Seperation of the Real and Imaginary Roots of Equations
The discoveries which have recently been made in the general theory and solution of Algebraical Equations, are of sufficient importance to render a treatise on the subject embodying those discoveries, in an elementary form, peculiarly acceptable to the British student.
There has long appeared to me to be great want of a compendious work on the theory and solution of Equations in the English language; and the successful researches of Horner, Budan, Fourier, and Sturm, have now so entirely changed the state of this department of analysis, as to render such a publication almost indispensable.
The improvements of Mr. Horner, which have so greatly contributed to perfect the numerical solution of equations of all orders, were first published in the Philosophical Transactions of the Royal Society, in the year 1819; but strange as it may appear, have as yet excited but little attention from British mathematicians.
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