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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
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The idea of writing the following paper was suggested to the author while conducting theS econd Examination of the Faculty of Actuaries inS cotland, by the evident difficulty which many of the students experienced in finding a text book on the subject ofF inite Differences which exactly suited their requirements. The elementary treatises on algebra barely pass the threshold of the subject, while those works on the calculus itself embrace a much wider range than the examinations require, and assume a greater amount of knowledge on the part of the student than the elementary works usually afford him. As indicated by its title, this essay does not profess to be by any means a complete treatise on the application of the calculus ofF inite Differences, but merely seeks, in some measure, to aid the student to graduate from the elementary works on the one hand to the higher treatises on the other. The paper was read before the Actuarial Society of Edinburgh towards the end of 1871, and having since been somewhat enlarged and modified, it is now printed by theS ociety, chiefly in the hope that it may be found helpful to those who are prosecuting their actuarial studies. Edinbubgh, 16th November,
(Typographical errors above are due to OCR software and don't occur in the book.)
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