Excerpt from The Elements of Algebra

Having understood that my "Treatise on Algebra," which was designed primarily for the use of colleges, has been introduced into many academies and high schools, and employed in the instruction of classes younger than those for whom it was originally prepared, I have thought that a more elementary work, expressly designed for beginners, might be favorably received. The present volume was intended for the use of students who have just completed the study of Arithmetic; and it is believed that any person, however young, who has acquired a tolerably thorough knowledge of the principles of that science, may proceed at once to this volume with pleasure and profit. I have endeavored to render the transition from Arithmetic to Algebra both easy and natural. This I have done by applying the algebraic symbols to problems so simple that they might be readily solved by the principles of Arithmetic alone. Having conducted the student through a considerable series of simple problems, I proceed, by easy steps, to develop some of them in a more general form.

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