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9781330098912: A Collection of Examples of the Applications of the Calculus of Finite Differences (Classic Reprint)

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Excerpt from A Collection of Examples of the Applications of the Calculus of Finite Differences

The want of a regular treatise, on the Calculus of Differ ences in our language, has long been a serious obstacle to the progress of the enquiring student. The Appendix annexed to the translation of Lacroix's Differential and Integral Calculus, although from the necessity of studying compression it is not so complete as its author could have wished, will, it is hoped, remove this obstacle in some degree, and at least put the analytical principles of the pure theoretical part of the calculus in the reader's power. But the method of applying those principles, and the formulm derived from them, to the various cases and questions of pure, as well as mixed mathematics, in which they may be advantageously introduced, also demands some degree of explanation, and accordingly, in such of our examples as have this for their object, the reader will find the successive steps of the pro cesses fully detailed, till the questions are reduced to such analytical difliculties, as the Appendix, or the preceding problems will enable him to surmount by himself.

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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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John Frederick William Herschel
Editore: Forgotten Books, 2018
ISBN 10: 1330098919 ISBN 13: 9781330098912
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John Frederick William Herschel
Editore: Forgotten Books, 2018
ISBN 10: 1330098919 ISBN 13: 9781330098912
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John Frederick William Herschel
Editore: Forgotten Books, 2018
ISBN 10: 1330098919 ISBN 13: 9781330098912
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Paperback. Condizione: New. Print on Demand. This book offers a comprehensive exploration of the calculus of differences, providing a thorough grounding in its principles and demonstrating its practical applications. Aiming to make this field more accessible, the author presents a wealth of examples to illustrate the methods outlined, ranging from purely analytical to those pertaining to mixed mathematics. These examples extend from determining general terms of series to exploring continued fractions, demonstrating the versatility of the calculus of differences in addressing various mathematical problems. Through these detailed explanations and diverse applications, the book sheds light on the significance of this mathematical tool and its contributions to the field. 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. Codice articolo 9781330098912_0

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