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Author: Joseph Bayma Publisher: Forgotten Books ISBN: 9780282557935 Category : Mathematics Languages : en Pages : 286
Book Description
Excerpt from Elements of Infinitesimal Calculus The present treatise, as its title points out, has been based on the principles of the infinitesimal method. I think that this method, besides being the simplest of all for teaching Calculus, as all admit, is also the most consistent and philoso phical. Some modern writers, indeed, have tried to discredit it but, when we examine their reason ings, we soon discover that they have done so be cause they have failed to grasp the true nature of infinitesimal quantities. This I have endeavored to show in my introduction to this work, where the reader will find not only what I believe to be the exact notion of the infinitesimal, but also a hint at the grounds (elsewhere developed) upon which the infinitesimal method rests its claim to be pre ferred to its fashionable rival, the method of limits. 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.
Author: Joseph Bayma Publisher: Forgotten Books ISBN: 9780282557935 Category : Mathematics Languages : en Pages : 286
Book Description
Excerpt from Elements of Infinitesimal Calculus The present treatise, as its title points out, has been based on the principles of the infinitesimal method. I think that this method, besides being the simplest of all for teaching Calculus, as all admit, is also the most consistent and philoso phical. Some modern writers, indeed, have tried to discredit it but, when we examine their reason ings, we soon discover that they have done so be cause they have failed to grasp the true nature of infinitesimal quantities. This I have endeavored to show in my introduction to this work, where the reader will find not only what I believe to be the exact notion of the infinitesimal, but also a hint at the grounds (elsewhere developed) upon which the infinitesimal method rests its claim to be pre ferred to its fashionable rival, the method of limits. 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.
Author: G. H. Chandler Publisher: Forgotten Books ISBN: 9780331788082 Category : Mathematics Languages : en Pages : 350
Book Description
Excerpt from Elements of the Infinitesimal Calculus The order in which the subject is developed, though differ ing from that of many text-books, is believed to be well caleu lated to meet the difficulties and secure the interest of the student. In the present edition many changes and some additions have been made which it is hoped will bring the book into accord with present-day treatment and needs. To supplement the ordinary Mathematical Tables I have added short tables which are intended to facilitate curve tracing as well as the rapid calculation of integrals, etc. 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.
Author: James Gregory Clark Publisher: Forgotten Books ISBN: 9780331981629 Category : Mathematics Languages : en Pages : 444
Book Description
Excerpt from Elements of the Infinitesimal Calculus: With Numerous Examples and Applications to Analysis In the preparation of the following treatise, the attempt has been made to remove all grounds for that feeling Of uncertainty which often possesses the student at the very outset, and from which he rarely finds it possible afterward to extricate himself. With this end in view, considerable space has been devoted to an exposition of the doctrine Of limits, which has been made the basis of both the Differ ential and the Integral Calculus. 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.
Author: Joseph Bayma Publisher: Createspace Independent Publishing Platform ISBN: 9781541308923 Category : Languages : en Pages : 284
Book Description
From the PREFACE. The present treatise, as its title points out, has been based on the principles of the infinitesimal method. I think that this method, besides being > the simplest of all for teaching Calculus, as all admit, is also the most consistent and philosophical. Some modern writers, indeed, have tried to discredit it; but, when we examine their reasonings, we soon discover that they have done so because they have failed to grasp the true nature of infinitesimal quantities. This I have endeavored to show in my introduction to this work, where ihe reader will find not only what I believe to be the exact notion of the infinitesimal, but also a hint at the grounds (elsewhere developed) upon which the infinitesimal method rests its claim to be preferred to its fashionable rival, the method of limits. This work being intended for young men who are supposed to devote a considerable part of their time to the study of mental and of natural philosophy, it has been necessary to limit its developments by giving less prominence to the analytical than to the practical portion of it. But, while anxious not to overtax our young people, I have nevertheless collected and condensed all that seemed to be of practical use in this branch of study; and, though I have made it a point to be concise, I have constantly endeavored to make all things as plain as the subject matter permitted. I hope that the average student will need only a moderate effort to understand the object and the processes of differentiation and of integration as laid down in this treatise; though, as to integration, his success will often depend also on his endurance of analytical work. To assist him in the performance of this task, I have developed a sufficient number of geometrical and of mechanical problems, together with some fundamental notions of rational mechanics, which were indispensable, and which will serve as an introduction to the regular study of this latter science. -J. B.
Author: H. S. Carslaw Publisher: Forgotten Books ISBN: 9781330097786 Category : Mathematics Languages : en Pages : 160
Book Description
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.
Author: H. S. Carslaw Publisher: Forgotten Books ISBN: 9780332023052 Category : Mathematics Languages : en Pages : 158
Book Description
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.