Theory Of Differential Equations By Andrew Russell Forsythvol 3

Author : Andrew Russell Forsyth
Publisher : Forgotten Books
ISBN 13 : 9781334018237
Total Pages : 406 pages
Book Rating : 4.0/5 (182 download)

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Download or read book Theory of Differential Equations, Vol. 3 written by Andrew Russell Forsyth and published by Forgotten Books. This book was released on 2016-10-20 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear The importance of this equation does not lie mainly in the comparative simplicity of the forms of differential equations which are suggested as possible equivalents of the original system, but is rather constituted by an invariantive property which it possesses, viz. Whatever be the intermediate linear transformations effected upon the variables x, the roots 7t of the determinantal equation are entirely independent of those intermediate transformations. The formal proof of this property is practically identical with the formal proof of the invariantive character of the fundamental equation appertaining to a singularity of an ordinary linear equation of order n; it is as follows. 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.