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Книга по требованию: Differential Equations (Classic Reprint)

Товар № 11550482
Вес: 0.81 кг.
Год издания: 2016
Страниц: 518 Переплет: мягкая обложка
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Excerpt from Differential Equations

Thus, to take an illustration from the subject of the follow ing work, - the solution of ordinary simultaneous differential equations properly precedes that of linear partial differential equations of the first order; and this, again, properly precedes that of partial differential equations of the first order which are not linear. And in this natural order were the theories of these subjects developed. Again, there exist large and very important classes of difi'erential equations the solution of which depends on some process of successive reduction. Now such reduction seems to have been effected at first by a repeated change of variables; afterwards, and with greater generality, by a combination of such transformations with others involv ing differentiation; last of all, and with greatest generality, by symbolical methods. I think it necessary to direct attention to instances like these, because the indications which they afford appear to me to have been, in some works of great ability, overlooked, and because I wish to explain my motives for departing from the precedent thus set.

Now there is this reason for grounding the order of exposi tion upon the historical sequence of discovery, that by so doing we are most likely to present each new form of truth to the mind, precisely at that stage at which the mind is most fitted to receive it, or even, like that of the discoverer, to go forth to meet it. Of the many forms of false culture, a premature converse with abstractions is perhaps the most likely to prove fatal to the growth of a masculine vigour of intellect.

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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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