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Excerpt from A Treatise on Plane and Spherical Trigonometry: With an Introduction, Explaining the Nature and Use of Logarithms; Adapted to the Use of Students in Philosophy Rule. Add the logarithms of the numbers toge ther, and the fum 13 the logarithm of their produet. For let a=b, afzc, oz=d3 then, a345+z=bcd; and (2 x is the logarithm of b, y the logarithm of c, 2 the logarithm of d, and x +_y+z is the logarithm of bed. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.
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This book examines how calculus developed in Britain during the century following Newton.