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Книга по требованию: Applied Calculus an Introductory Textbook (Classic Reprint)

Товар № 11106626
Вес: 0.75 кг.
Год издания: 2015
Страниц: 474 Переплет: мягкая обложка
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Excerpt from Applied Calculus an Introductory Textbook

This book is intended to provide an introductory course in the Calculus for the use of students of natural and applied science whose knowledge of mathematics is slight. All the mathematics that the student is assumed to know is algebra up to quadratic equations; elementary trigonometry up to the formulae of sines, cosines, and tangents of compound angles; the elements of geometry; and the method of graphs.

Infinite series are essentially difficult and unconvincing unless treated rigorously - as the old conundrum of Achilles and the tortoise shows - and there is no need to use them in the elementary parts of the subject. They have therefore been avoided altogether.

Definite problems, dealing with actual things, precede the analytical treatment, which I have tried to make simple and convincing; and I hope any reader who pursues the subject further in the standard works will find that he has only to extend and qualify the proofs, not to unlearn them.

I have introduced and used limits in the first chapter before defining them, for the same reason that I should show a child a herring and tell him about its habits of life before describing it to him as one of two distinct but closely-allied species of malacopterygian fishes of the genus Clupea.

The pictures of celebrated mathematicians and scientists are intended to arouse some human interest in mathematical science and the history of its progress. Some of the founders of the science lived more than ordinarily interesting lives, and if the mathematician ignores the human side of things, he can hardly expect humanity not to ignore him.

Perhaps the title of the book needs a word of explanation. In applied mechanics it is usual to discuss the theoretical principles of mechanics as well as their applications. This line has been followed here, the treatment of practical problems being preceded by a fairly full discussion of the necessary theory.

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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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