A Text-Book of Differential Calculus: With Numerous Worked Out Examples (Classic Reprint)

In this work it has been my aim to lay before students a strictly rigorous and, at the same time, simple exposition of theD ifferential Calculus and its chief applications. The present volume is intended for beginners and is so designed as to meet the requirements of Part I. of the Cambridge Mathematical Tripos Examination, and of theE xaminations for the B.A. and B.S c. degrees of Indian Universities. The chief characteristics of the present work may be indicated as follows :(1) The fundamental principles of theD ifferential Calculus have been based on a purely arithmetical foundation. Thus, the various theorems have been carefully enunciated and their proofs have been made quite independent of geometrical intuition. In this connection, I may specially mention the chapters on Bolle sT heorem and Taylor sT heorem, Maxima and Minima, and Indeterminate Forms. (2) Almost every article is followed by worked out examples, specially suited for illustrating the article. There are also numerous exercises in every chapter. (3) A special chapter deals with curve-tracing and the important properties of the best-known curves. (4) The order in which the chapters are arranged is intended to enable the beginner to study the simple geometrical applications of theD ifferential Calculus immediately after he has learnt differentiation.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text.