Practical Curve Tracing

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Excerpt from Practical Curve Tracing: With Chapters on Differentiation and Integration During recent years the use of squared paper in the solution of various problems, for the representation of the results of experiments and for the deduction of formulas to express those results has developed very rapidly, and is now taught to a greater or less extent to the great majority of students. At the same time, it has become more and more recognized that while the student, and especially the student of Engineering, needs a good knowledge of various branches of Mathematics, and, above all, the ability to make use of his knowledge in the solution of practical problems, it is not necessary to burden him with a large amount of purely academic Mathematics, of the kind which has been aptly called "Mental Gymnastics." Thus, while it is necessary that he should be able to recognize the nature of the curve represented by a given equation, or to find the equation corresponding to a given curve, and should be perfectly familiar with the chief characteristics of those curves which he is constantly meeting in practice, it is, as a rule, undesirable that he should spend a considerable amount of time in making a complete study of Co-ordinate Geometry from the purely mathematical standpoint. This book is an attempt to present the methods of curve plotting in an orderly sequence, and at the same time to give the student that knowledge of the properties of the chief families of curves which is essential for him. The authors experience as a teacher has shown him that by far the best method of introducing the Calculus to the student who requires it as a tool in his mental workshop is from the graphical standpoint, following upon some such treatment of curves as is given here. He has, therefore, added chapters upon Differentiation and Integration, which he hopes may prove of use by giving to the student a general idea of the principles involved, and especially of their real meaning, before he proceeds to a somewhat fuller treatment of the subject. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.