An Elementary Treatise on the Theory of Equations: Collection of Examples (Classic Reprint)

The present treatise contains all the propositions which are usually included in elementary treatises on the Theory of Equations, together with a collection of examples for exercise. As the Theory of Equations involves a large number of interesting and important results, which can be demonstrated with simplicity and clearness, the subject may advantageously engage the attention of a student at an early period of his mathematical course. The present treatise may be read by those who are familiar with A lgebra, since no higher knowledge is assumed, except in A rts. 149, 175, 268, 308...314, and Chapter xxxi., which may be postponed by those who are not acquainted with De Moivre sT heorem inT rigonometry. This work may be regarded as a sequel to that on Algebra by the present writer, and accordingly the student has occasionally been referred to the treatise on Algebra for preliminary information on some topics here discussed. In composing the present work, the author has obtained assistance from the treatises on Algebra by Bourdon, Lefebure de Fourcy, and Mayer and Choquet; on special points he has consulted other writers, who are named in their appropriate places in the course of the work. The examples have been selected from the College and University examination papers, and the results have been given where it appeared necessary; in most cases however, from the nature of the example, the student will be able immediately to test the correctness of his result.
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