First Lessons in Algebra: In Which the Elements of the Science Are Familiarly Explained (Classic Reprint)

Excerpt from First Lessons in Algebra: In Which the Elements of the Science Are Familiarly Explained

In many modern elementary treatises on Algebra, the student is directed to obtain the roots of a quad ratio equation by substituting the coefficients in a for mula. This method, which is convenient and useful for one who has become fully versed in the principles of the science, is, in the opinion of the author, very objectionable for a beginner, since by adopting this course he loses the proper idea of the subject, comes to regard the solution as a mere mechanical process, and too frequently forgets entirely the processes of which the formula is the result. Every pupil should, there fore, in the earlier stages of his studies, be required to perform the operation in full. In the following pages, the three rules commonly employed are given sepa rately, accompanied with a number of examples fully sufficient to familiarize the student with their appli cation.

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