Excerpt from Differential Calculus for Beginners

The object of this book is to provide an, easy introduction to the Calculus for those students who have to use it in their practical work, to make them familiar with its ideas and methods within a limited range.

A good working knowledge of elementary Algebra and Trigonometry is assumed, and in the latter part of the book it is supposed that the student will have acquired some knowledge of the methods of coordinate geometry.

Stress is laid at the outset on the graphic representation of functions, as by this means a vividness and reality is given to the processes of the Calculus which is not easily obtained without such ocular assistance. In this way the theory of maxima and minima becomes very simple and convincing.

It is hoped that the chapter on the graphic solution of equations will be found helpful and interesting.

The idea of integration (as the reverse of differentiation) is introduced into the chapter on successive differentiation.

Partial fractions have been treated somewhat fully, as the author feels that the acquirement of facility in the various methods of obtaining such fractions is of great educational value, besides being highly interesting.

The chapter on curvature is short, but will, it is believed, be found sufficient for ordinary practical purposes.

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