Ordinary differential equations, with introduction to Lie theory

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Название: Ordinary differential equations, with introduction to Lie theory

Автор: Page J.M.

Издательство: Glasgow: university press

Год издания: 1897

Формат: DJVU

Язык: Английский

Cтраниц: 240

Размер: 1.48 MB

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. EveT

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 homo-

geneous or for the linear, differential equation of the first order. Also, important theories for the linear differential equations of the second or higher orders, have been developed. But all these special theories of integration were regarded by the older mathematicians as

different theories based upon separate mathematical methods.