Treatise: Algebra

Excerpt from Treatise: Algebra

This treatise may be considered as a sequel to the small Elementary Algebra, whose second edition, revised and enlarged, has just preceded the present publication. However, it is not so connected with the Elementary Algebra that it might not be taken alone, for it does not depend on the former in any of its parts, and is complete, as far as is allowed by the nature of a book destined for the use of those who desire to be initiated in the study of Algebra.

The reader, even before perusing the present introduction, has probably noticed the difference of type, intended to separate those subjects which are more accessible to pupils at large from those which suppose in the student either quicker parts or already some advancement in the study of Algebra. That is to say, the most elementary principles adapted even for those who, for the first time, open a book of Algebra, are printed in larger type: the other parts, which enter a little more into the secrets of the science, are printed in smaller characters.

We beg the reader, however, to observe, first, that the understanding even of the most elementary principles of Algebra and Geometry supposes always a certain degree of aptitude. Of this, one who for any time has had experience of the tedious labour of teaching, will render, without hesitation, abundant testimony. Another observation to be made is, that the separation adopted in the present treatise, with distinction of type, does not trace a limit to be scrupulously followed, so that the teacher or the student be compelled to go over all that is printed in large characters before commencing the rest. But it is left to the discretion of the teacher to enter, more or less, into the subject where and when he will judge fit to do so.

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