Abstract
THIS is an elementary treatise on what is often called higher mathematics, the parts of which are taken up in the following order:—Differential calculus; analytical geometry of two dimensions with calculus applications; integral calculus; three-dimensional geometry. It seems to be made up of the most elementary parts of three or four treatises, but there is nothing new in the treatment. One might have expected the author to illustrate the well-known rules of differentiation by showing how applicable they are to the problems of the builder and engineer, to have greatly shortened the proofs and lessened the number of rules for differentiation, and so forth; but we here find practically nothing of the kind. The conic sections are still the important curves; the student gets rules enough for the most elaborate differentiation and integration and, in fact, enters in the most orthodox way upon a course of pure mathematics; but this book is in no way written to satisfy the special needs of the architect or engineer. But the author is to be praised for teaching the calculus, in however dry a manner, before coordinate geometry. We wish he had used the calculus to help in teachings coordinate geometry, but he only makes a combination after he has taught both subjects.
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