History Of The Mathematical Theory Of Probability From The Time Of Pascal To That Of Laplace
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A History Of The Mathematical Theory Of Probability
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Author : Isaac Todhunter
language : en
Publisher: Cambridge University Press
Release Date : 2014-09-25
A History Of The Mathematical Theory Of Probability written by Isaac Todhunter 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 2014-09-25 with History categories.
A thorough account of the roots and development of probability theory, published in 1865 by a distinguished Cambridge mathematician.
J M Keynes And The History Of Probability
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Author : Francisco Javier Aristimuño
language : en
Publisher: Taylor & Francis
Release Date : 2025-03-18
J M Keynes And The History Of Probability written by Francisco Javier Aristimuño and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-18 with Business & Economics categories.
John Maynard Keynes is best known for his contributions to economics, yet he spent nearly two decades exploring the concept of probability. His extensive work culminated in A Treatise on Probability (1921), in which he developed a unique notion of probability that continues to divide scholars regarding its relevance to economic theory. This book delves into the connections between Keynes’s ideas on probability and those of early Enlightenment philosophers, such as Locke, Leibniz, and Hume, who worked on probability before mathematicians claimed ownership over the subject. These authors framed probability as a substitute for knowledge when it is not available. Keynes extended these ideas and engaged directly with Hume on inductive reasoning, placing his concept of probability within a broader philosophical tradition. By tracing these Enlightenment roots, this book provides deeper insight into Keynes’s understanding of probability, clarifying some of the key differences with the subjective approach due to Ramsey and De Finetti. It also summarises the aspects on which probability theory and its corresponding notion of uncertainty are crucial for Keynes’s economic thought, particularly in his General Theory of Employment, Interest and Money. This book is addressed to readers interested in the philosophy of probability and offers economists a fuller understanding of Keynes’s intellectual framework.
A History Of Probability And Statistics And Their Applications Before 1750
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Author : Anders Hald
language : en
Publisher: John Wiley & Sons
Release Date : 2005-02-25
A History Of Probability And Statistics And Their Applications Before 1750 written by Anders Hald and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-25 with Mathematics categories.
WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." –Short Book Reviews of ISI
Mathematical Theory Of Probability And Statistics
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Author : Richard von Mises
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Mathematical Theory Of Probability And Statistics written by Richard von Mises and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics
The Emergence Of Probability
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Author : Ian Hacking
language : en
Publisher: Cambridge University Press
Release Date : 2006-07-31
The Emergence Of Probability written by Ian Hacking 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 2006-07-31 with History categories.
Historical records show that there was no real concept of probability in Europe before the mid-seventeenth century, although the use of dice and other randomizing objects was commonplace. First published in 1975, this edition includes an introduction that contextualizes his book in light of developing philosophical trends.
Probability Stochastic Processes And Queueing Theory
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Author : Randolph Nelson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Probability Stochastic Processes And Queueing Theory written by Randolph Nelson 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 2013-06-29 with Mathematics categories.
We will occasionally footnote a portion of text with a "**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "their own" by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.
Pierre Simon Laplace 1749 1827
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Author : Charles Coulston Gillispie
language : en
Publisher: Princeton University Press
Release Date : 2018-06-05
Pierre Simon Laplace 1749 1827 written by Charles Coulston Gillispie and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-05 with Science categories.
Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the five-volume Traité de mécanique céleste (1799-1825) and Théorie analytique des probabilités (1812). In the former he demonstrated mathematically the stability of the solar system in service to the universal Newtonian law of gravity. In the latter he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks into the branch of mathematics that permitted the quantification of estimates of error and the drawing of statistical inferences, wherever data warranted, in social, medical, and juridical matters, as well as in the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution. A scientific biography by Charles Gillispie comprises the major portion of the book. Robert Fox contributes an account of Laplace's attempt to form a school of young physicists who would extend the Newtonian model from astronomy to physics, and Ivor Grattan-Guinness summarizes the history of the scientist's most important single mathematical contribution, the Laplace Transform.
A 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
A 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.
A Concise History Of Mathematics
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Author : Dirk J. Struik
language : en
Publisher: Courier Corporation
Release Date : 2012-06-28
A Concise History Of Mathematics written by Dirk J. Struik and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-28 with Mathematics categories.
This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating. Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
Probability Information And Physics Problems With Quantum Mechanics In The Context Of A Novel Probability Theory
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Author : Paolo Rocchi
language : en
Publisher: World Scientific
Release Date : 2023-08-29
Probability Information And Physics Problems With Quantum Mechanics In The Context Of A Novel Probability Theory written by Paolo Rocchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-29 with Mathematics categories.
This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.