Excerpt from Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges

So far as it is desirable to form a taste for mathematical studies, it is important that the books by which the student is first introduced to an acquaintance with these subjects, should not be rendered obscure and forbidding by their conciseness. Here is no opportunity to awaken interest, by rhetorical ele gance, by exciting the passions, or by presenting images to the imagination. The beauty of the mathematics depends on the distinctness of the objects of inquiry, the symmetry of their relations, the luminous nature of the arguments, and the certainty of the conclusions. But how is this beauty to be perceived, in a work which is so much abridged, that the chain of reasoning is often interrupted, important demonstra tions omitted, and the transitions from one subject to another so abrupt, as to keep their connections and dependencies out of view?

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