The text of this volume is, to a considerable extent, identical with portions of corresponding chapters in Smith and Gale's "Elements of Analytic Geometry" and Granville's "Elements of the Differential and Integral Calculus." The new material is contained in the chapters on Curve Plotting (Chapter V) and Functions and Graphs (Chapter VI). At the same time, the parts which have appeared in previous books of the series have been thoroughly revised and, to a considerable extent, rewritten, to the end that the aim of the ...
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The text of this volume is, to a considerable extent, identical with portions of corresponding chapters in Smith and Gale's "Elements of Analytic Geometry" and Granville's "Elements of the Differential and Integral Calculus." The new material is contained in the chapters on Curve Plotting (Chapter V) and Functions and Graphs (Chapter VI). At the same time, the parts which have appeared in previous books of the series have been thoroughly revised and, to a considerable extent, rewritten, to the end that the aim of the authors might be accomplished, - namely, to prepare a simple and direct exposition of those portions of mathematics beyond Trigonometry which are of importance to students of natural science. In this connection attention may be called to the intentional avoidance of anticipating difficulties, - a feature which is not common in textbooks. To particularize, processes which are natural are introduced without explanation, and exact definition is not given until the student is familiar by practice with the matter in hand. Again, in the derivation of certain formulas in the Differential Calculus the evaluation of particular limits is not undertaken until the student sees that this work must be done before the problem can be solved. In many instances, when deemed wise, a general discussion is introduced by concrete examples. This feature, so common in school texts, is strangely absent from books intended for use in colleges and technical schools. Interest in the subject is usually aroused in this way, and it is the hope of the authors that this stimulus may not be lacking when the volume is studied.
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