An Elementary Treatise On Differential Equations And Their Applications

Author : Abraham Cohen
Publisher : Forgotten Books
ISBN 13 : 9781440083396
Total Pages : 285 pages
Book Rating : 4.0/5 (833 download)

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Download or read book An Elementary Treatise on Differential Equations written by Abraham Cohen and published by Forgotten Books. This book was released on 2015-06-15 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on Differential Equations The following pages are the result of a course in Differential Equations which the author has given for some years to classes comprising students intending to pursue the study of Engineering or some other Physical Science, as well as those expecting to continue the study of Pure Mathematics or Mathematical Physics. The primary object of this book is to make the student familiar with the principles and devices that will enable him to integrate most of the equations he is apt to come across. As much of the theory is given as is likely to be comprehensible to the student who has had a year's course in the Differential and Integral Calculus, and yet is sufficient to form a harmonizing setting for the numerous and otherwise apparently miscellaneous classes of equations, and the disconnected methods for solving them. It is intended to have the work sufficiently broad to make it a handy book of reference, without affecting its utility as a text-book. A number of footnotes and remark have been put in, which, without breaking the continuity of the practical side of the subject, must prove of interest and value. Numerous historical and bibliographical references are also made. A course that is limited in point of time and aims only at acquiring skills in integrating most of the equations that are apt to arise could dispense with §§ 12, 15, 17, 22, 28 (part in small type), 33, 34, 38 - 40, 46 - 48, 66 - 69 (except examples), 70, 71, 73, 75, 78, 80, 81. Many of these sections should properly come in a well-balanced course. The needs of the class, and the time at its disposal, must decide which of them, if any, should be omitted. The author has had in mind continually the necessity of systematizing the various classes of equations that can he solved by elementary means, and of minimizing the number of methods by which they can be solved. 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.