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THEORY OF EQUATIONS.

Cambridge:

PRINTED BY C. J. CLAY, M.A.

AT THE UNIVERSITY PRESS.

ELEMENTARY TREATISE

ON THE

THEORY OF EQUATIONS,

WITH A COLLECTION OF EXAMPLES.

BY

I. TODHUNTER, M.A.

FELLOW AND PRINCIPAL MATHEMATICAL LECTURER OF ST JOS

CAMBRIDGE.

BIBL

BODI

MACMILLAN AND CO.

Cambridge:

AND 23, HENRIETTA STREET, COVENT GARDEN,
London.
1861.

180.6.44.
181. b. 26

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PREFACE.

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 Algebra, since no higher knowledge is assumed, except in Arts. 175, 267, 308—314, which may be postponed by those who are not acquainted with De Moivre's Theorem in Trigonometry. This work may in fact 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 question, the student will be able immediately to test the correctness of his answer.

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