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ALGEBRA.

Cattvbrtoge:

PRINTED BY C. J. CLAY, M.A.
AT THE UNIVERSITY PEES3,

For MACMILLAN AND Co.

lontton: BELL AND DALDY. ©IfotB: J. H. AND JAMES PARKER. ffi&lnburflfl: EDMONSTON AND DOUGLAS. Dublin: WILLIAM ROBERTSON. ©lasgoto: JAMES MACLEHOSE.

ALGEBRA

Jfor % Wist of Colleges and Sterols.

I. TODHUNTER, M.A.

FELLOW AND ASSISTANT TUTOR OP ST JOHN'a COLLEGE, CAMBRIDGE.

(lamfort&cje:
MACMILLAN AND CO.

1858.

[The right of Translation is reserved.]

[graphic]

PREFACE.

This work contains all the propositions which are usually included in elementary treatises on algebra, and a large number of examples for exercise.

My chief object has been to render the work easily intelligible. Students should be encouraged to examine carefully the language of the book they are using, so that they may ascertain its meaning or be able to point out exactly where their difficulties arise. The language, therefore, ought to be simple and precise; and it is/essential that apparent conciseness should not be gainedfit.the'm^f of clearness.

In attempting, however, tojrende*;ine work easily intelligible, I trust I have neither impaired; the accuracy of the demonstrations nor contracted the lh$Ks of the subject; on the contrary, I think it will be found that in both these respects I have advanced beyond the line traced out by previous elementary writers.

The present treatise is divided into a large number of chapters, each chapter being, as far as possible, complete in itself. Thus the student is not perplexed by attempting to master too much at once; and if he should not succeed in fully comprehending any chapter, he will not be precluded from going on to the next, reserving the difficulties for future consideration: the latter point is of especial importance to those students who are without the aid of a teacher.

The order of succession of the several chapters is to some extent arbitrary, because the position which any one of them should occupy must depend partly upon its difficulty

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