Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter

Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter
ISBN-10
1330126661
ISBN-13
9781330126660
Series
Ordinary Differential Equations
Category
Mathematics
Pages
242
Language
English
Published
2015-06-16
Publisher
Forgotten Books
Author
James Morris Page

Description

Excerpt from Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all; and much care has been taken to make all the developments as clear as possible - every important step being illustrated by easy examples. In one material respect, this book differs from the older text-books upon the subject in the English language: namely, in the methods employed. Ever since the discovery of the Infinitesimal Calculus, the integration of differential equations has been one of the weightiest problems that have attracted the attention of mathematicians. It is not possible to develop a method of integration for all differential equations; but it was found possible to give theories of integration for certain classes of these equations; for instance, for the homogeneous or for the linear, differential equation of the first order. 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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