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A History of the Mathematical Theory of Probability: From the Time of Pascal to That of Laplace (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from A History of the Mathematical Theory of Probability: From the Time of Pascal to That of Laplace
The favourable reception which has been granted to my History of the Calculus of Variations during the Nineteenth Century has encouraged me to undertake another work of the same kind. The subject to which I now invite attention has high claims to consideration on account of the subtle problems which it involves, the valuable contributions to analysis which it has produced, its important practical applications, and the eminence of those who have cultivated it.
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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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Excerpt from A History of the Mathematical Theory of Probability: From the Time of Pascal to That of Laplace
The favourable reception which has been granted to my History of the Calculus of Variations during the Nineteenth Century has encouraged me to undertake another work of the same kind. The subject to which I now invite attention has high claims to consideration on account of the subtle problems which it involves, the valuable contributions to analysis which it has produced, its important practical applications, and the eminence of those who have cultivated it.
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.
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Excerpt from A History of the Mathematical Theory of Probability
De Moivre's Doctrine of Chances formed a treatise on the subject, full, clear and accurate; and it maintained its place as a standard work, at least in England, almost down to our own day.
The tenth Chapter gives an account of some miscellaneous investigations between the years 1700 and 1750. These investigations are due to Nicolas Bernoulli, Arbuthnot, Browne, Mairan, Nicole, Buffon, Ham, Thomas Simpson and John Bernoulli.
The eleventh Chapter relates to Daniel Bernoulli, containing an account of a series of memoirs published chiefly in the volumes of the Academy of Petersburg; the memoirs are remarkable for boldness and originality, the first of them contains the celebrated theory of Moral Expectation.
The twelfth Chapter relates to Euler; it gives an account of his memoirs, which relate principally to certain games of chance.
The thirteenth Chapter relates to D'Alembert; it gives a full account of the objections which ho urged against some of the fundamental principles of the subject, and of his controversy with Daniel Bernoulli on the mathematical investigation of the gain to human life which would arise from the extirpation of one of the most fatal diseases to which the human race is liable.
The fourteenth Chapter relates to Bayes; it explains the method by which he demonstrated his famous theorem, which may be said to have been the origin of that part of the subject which relates to the probabilities of causes as inferred from observed effects.
The fifteenth Chapter is devoted to Lagrange; he contributed to the subject a valuable memoir on the theory of the errors of observations, and demonstrations of the results enunciated by De Moivre respecting the Duration of Play.
The sixteenth Chapter contains notices of miscellaneous investigations between the years 1750 and 1780. This Chapter brings before us Kaostner, Clark, Mallet, John Bernoulli, Beguelin, Micholl, Lambert, Buffon, Fuss, and some others. The memoir of Micholl is remarkable; it contains the famous argument for the existence of design drawn from the fact of the closeness of certain stars, like the Pleiades.
The seventeenth Chapter relates to Cordorcet, who published a large book and a long memoir upon the Theory of Probability.
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.
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A History of the Mathematical Theory of Probability (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book offers a captivating journey through the fascinating history of probability theory. From its humble beginnings in the writings of ancient scholars to its pivotal role in modern science, the author traces the evolution of this essential mathematical tool. Through detailed analysis of seminal works, such as Pascal and Fermat's correspondence on the Problem of Points, the book showcases the profound insights and ingenuity that shaped the foundation of probability. Moreover, it explores the practical applications of probability in diverse fields, illuminating its significance in decision-making, risk assessment, and statistical modeling. This book is an invaluable resource for anyone seeking to understand the development of probability theory and its enduring impact on science and human understanding. 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. Nº de ref. del artículo: 9781440072383_0
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