Reseña del editor:
Excerpt from An Introduction to the Infinitesimal Calculus: Notes for the Use of Science and Engineering Students
The principal change 111 this edition will be found in the treatment of the exponential and logarithm. Six years ago few students began the study of the Calculus without having already completed a course in Algebra, including the Theory of Infinite Series. It is now realised that in making this demand the mathematical teacher was asking more than was necessary. The principles underlying the Calculus, in so far as they can be examined in such a course as this, offer little difficulty. N 0 more than an elementary knowledge of Algebra and Trigonometry is required for their discussion; and a real grasp of the meaning of differentiation and integration can be obtained by very many to whom the subject of Infinite Series would appear extremely obscure.
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.
Reseña del editor:
Excerpt from An Introduction to the Infinitesimal Calculus: Notes for the Use of Science and Engineering Students
These introductory chapters in the Infinitesimal Calculus were lithographed and issued to the students of the First Year in Science and Engineering of the University of Sydney at the beginning of last session. They form an outline of, and were meant to be used in conjunction with, the course on The Elements of Analytical Geometry and the Infinitesimal Calculus, which leads up to a terms work on Elementary Dynamics.
The standard text-books amply suffice for the detailed study of this subject in the second year, but the absence of any discussion of the elements and first principles suitable for the first year work, was found to be a serious hindrance to the work of the class. For such students a separate course on Analytical Geometry, without the aid of the Calculus, is not necessary, and the exclusion of the methods of the Calculus from the analytical study of the Conic Sections is quite opposed to the present unanimous opinion on the education of the engineer. It has been our object to present the fundamental ideas of the Calculus in a simple manner and to illustrate them by practical examples, and thus to enable these students to use its methods intelligently and readily in their Geometrical, Dynamical, and Physical work early in their University course. This little book is not meant to take the place of the standard treatises on the subject, and, for that reason, no attempt is made to do more than give the lines of the proof of some of the later theorems. As an introduction to these works, and as a special text-book for such a "short course" as is found necessary in the engineering schools of the Universities and in the Technical Colleges, it is hoped that it may be of some value.
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.
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