A Collection of Examples of the Applications of the Calculus of Finite Differences (Classic Reprint) - Hardcover

John Frederick William Herschel

9780484585941: A Collection of Examples of the Applications of the Calculus of Finite Differences (Classic Reprint)

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ISBN 10: 0484585940 ISBN 13: 9780484585941

Publisher: Forgotten Books, 2020

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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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