A History Of The Mathematical Theory Of Probability
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Creating Modern Probability
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Author : Jan von Plato
language : en
Publisher: Cambridge University Press
Release Date : 1998-01-12
Creating Modern Probability written by Jan von Plato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-12 with Mathematics categories.
In this book the author charts the history and development of modern probability theory.
A History Of The Central Limit Theorem
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Author : Hans Fischer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-08
A History Of The Central Limit Theorem written by Hans Fischer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-08 with Mathematics categories.
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.
History Of The Mathematical Theory Of Probability From The Time Of Pascal To That Of Laplace
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1865
History Of The Mathematical Theory Of Probability From The Time Of Pascal To That Of Laplace written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with Probabilities categories.
Mathematics Of The 19th Century
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Author : KOLMOGOROV
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Mathematics Of The 19th Century written by KOLMOGOROV and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
This multi-authored effort, Mathematics of the nineteenth century (to be fol lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan anal ysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition.
A History Of The Mathematical Theory Of Probability
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Author : Itodhunter Itodhunter
language : en
Publisher: Franklin Classics Trade Press
Release Date : 2018-10-29
A History Of The Mathematical Theory Of Probability written by Itodhunter Itodhunter and has been published by Franklin Classics Trade Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-29 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Introduction To The Theory Of Probability
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Author : Boris Vladimirovich Gnedenko
language : en
Publisher: Courier Corporation
Release Date : 1962-01-01
An Elementary Introduction To The Theory Of Probability written by Boris Vladimirovich Gnedenko and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-01-01 with Mathematics categories.
This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B. V. Gnedenko.
Introduction To Probability
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Author : Charles Miller Grinstead
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Introduction To Probability written by Charles Miller Grinstead and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.
The Mathematical Theory Of Communication
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Author : Claude E Shannon
language : en
Publisher: University of Illinois Press
Release Date : 1998-09-01
The Mathematical Theory Of Communication written by Claude E Shannon and has been published by University of Illinois Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-01 with Language Arts & Disciplines categories.
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
A History Of The Mathematical Theory Of Probability
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Author : I. Todhunter
language : en
Publisher: Forgotten Books
Release Date : 2015-06-02
A History Of The Mathematical Theory Of Probability written by I. Todhunter and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-02 with Mathematics categories.
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.
Foundations Of Probability
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Author : Alfred Renyi
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Foundations Of Probability written by Alfred Renyi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.