Excerpt from The Calculus for Beginners No great amount of previous mathematical knowledge is assumed. A boy is supposed to know his Elementary Algebra and Trigonometry and to have some slight acquaint ance with the co-ordinate geometry of the straight line. He should be able to write down the equation of a line through a given point with a given gradient and should know the relation between the gradients of perpendicular lines. He is also expected to have had some practice in drawing graphs from their equations and to know what these graphs mean. Many of the illustrations given are arithmetical, algebraical and geometrical, but in addition to these many will be found drawn from the scientific knowledge usually at the command of boys of this age. Several of the examples are intended to lead up to the ideas afterwards presented in the text, and in the more difficult ones, especially in some which will be found in the miscellaneous sets, the boy of mathematical ability will find plenty of scope for his skill in the manipulation of symbols. It would probably be well to omit the section on Points of Inflexion (pp. 127 - 135) on a first reading It is found there, because there did not seem to be a more convenient place for it. I take this opportunity of thanking Professor Hobson of Cambridge for some notes on the earlier chapters, which he sent to me after seeing the manuscript, but this must not be taken to mean that anything I have written has his sanction. 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.