Synopsis
The digital edition of all books may be viewed on our website before purchase. Excerpt from Elementary Integrals: A Short Table (Classic Reprint)
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Présentation de l'éditeur
From the INTRODUCTION.
THE following table of integrals has been drawn up with the hope of lessening the labour often involved in the integration of elementary functions. The list includes all the ordinary standard integrals and formula of reduction, arranged compactly, so as to allow of easy reference. Although the tables occupy less space than some which are in existence, yet it is hoped that the present set may prove no less useful in practical work; for example, it proved possible in many instances to condense three or more separate formulae into a single reduction formula; and it is hardly necessary to point out that a given result can be found more quickly in a short than in a long table.
A few other useful forms, such as (57), (58), have been added, which do not appear in the ordinary textbooks: and in selecting definite integrals, preference has been given to examples which occur in potential-theory and other branches of Applied Mathematics. Some numerical examples have been added to illustrate the general formulae, but it is not intended that these should be regarded in any way as replacing the sets of examples provided by books on the Calculus. Methods of approximate integration — by Simpson's formulae and the plauimeter— are briefly formulated in the last two sections.
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Elementary Integrals: A Short Table (Classic Reprint)
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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of integral calculus, providing a comprehensive exploration of techniques and applications. The author expertly guides the reader through fundamental algebraic and trigonometric integrals, illuminating the intricacies of integration by parts and substitution. The book then ventures into the realm of rational and irrational algebraic integrals, meticulously analyzing their complexities and offering a clear understanding of their unique characteristics. The book further explores the power of definite integrals, illuminating their role in solving a wide array of problems. It delves into the realm of infinite series, showcasing the potential of term-by-term integration and differentiation to address complex mathematical concepts. Finally, the author presents Simpson's formulas and their applications in approximating integrals, highlighting the elegance and practical significance of these techniques. This book offers a valuable resource for anyone seeking to master the intricacies of integral calculus, offering a clear and engaging approach to this essential branch of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781332220045_0
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