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A History of Probability and Statistics and Their Applications before 1750 1st Edition by Anders Hald ISBN 0471471291 9780471471295

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A History of Probability and Statistics and Their Applications before 1750 Wiley Series in Probability and Statistics 1st Edition Anders Hald Digital Instant Download

Author(s): Anders Hald
ISBN(s): 9780471471295, 0471471291
Edition: 1
File Details: PDF, 27.79 MB
Year: 2003
Language: english
SKU: EB-1723846 Category: Tag:

A History of Probability and Statistics and Their Applications before 1750 1st Edition by Anders Hald – Ebook PDF Instant Download/Delivery: 0471471291, 9780471471295
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Product details:

ISBN 10: 0471471291 
ISBN 13: 9780471471295
Author: Anders Hald

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

A History of Probability and Statistics and Their Applications before 1750 1st Table of contents:

  • Early Beginnings: The Origins of Probability

    • The influence of ancient cultures on early probability concepts

    • Gambling and games of chance in the ancient world (e.g., Mesopotamia, Egypt, and Greece)

    • Early numerical thinking: Greeks, Romans, and the idea of chance

  • Medieval and Islamic Contributions

    • The impact of Islamic scholars on mathematics and probability

    • Early mathematical treatises on chance and uncertainty

    • Key figures: Al-Khwarizmi and others who laid the groundwork for future developments

  • Renaissance and the Birth of Probability Theory

    • The role of Renaissance Europe in the development of mathematics

    • The first discussions of probability in relation to gambling and games of chance

    • Key figures: Gerolamo Cardano, Francesco Sforza, and others

    • Cardano’s Liber de Ludo Aleae and the development of the mathematical theory of games

  • The Emergence of Statistical Thinking

    • The early applications of statistics in the context of demographics and taxation

    • The role of statistical record-keeping in early modern societies

    • Key developments in early statistical methods: Census-taking and population studies

  • The Correspondence between Blaise Pascal and Pierre de Fermat

    • The beginnings of modern probability theory

    • The famous problem of points and the correspondence that led to the formalization of probability

    • Pascal, Fermat, and the foundations of probability theory

  • The Development of Mathematical Expectation

    • The concept of expected value and its first appearances

    • Early applications of expectation in games of chance and decision-making

    • Key figures: Christiaan Huygens and his work De Ratiociniis in Ludo Aleae

  • Bayesian Thinking Before Bayes

    • Early ideas related to Bayesian inference and decision theory

    • The roots of inductive reasoning and probability theory before Thomas Bayes

    • Key contributions from John Arbuthnot and other early thinkers

  • Probability and Statistics in the Context of Natural Philosophy

    • The role of probability and statistics in the early scientific revolution

    • The connection between probability theory and the emerging field of scientific measurement

    • Applications of probability in areas like astronomy, physics, and medicine

  • The Role of Probability in the Growth of Economics and Risk Management

    • The development of risk and uncertainty in economic thinking

    • Early applications of statistical and probabilistic methods in finance and trade

    • Key figures: Jakob Bernoulli and the law of large numbers

  • The Mathematics of Risk: Probability in Insurance and Commerce

    • The birth of probability in insurance, particularly life insurance

    • The development of actuarial methods and their connection to probability theory

    • Early actuarial tables and their impact on commercial practices

  • The Evolution of Statistical Tables

    • The development and use of statistical tables for population studies, astronomical calculations, and actuarial work

    • Early statistical records in Europe and their role in statecraft and governance

    • The creation of tables by figures such as John Graunt and William Petty

  • The Influence of Probability and Statistics on Society

    • How probability and statistical methods were applied to societal issues, including taxation, population studies, and crime analysis

    • The role of mathematical models in understanding and managing social problems

  • The Legacy of Early Probability and Statistics

    • How early developments in probability and statistics laid the foundation for modern theories

    • The transition from early probability theory to modern statistical methods in the 18th century

    • Key contributions by scholars like Jakob Bernoulli, Abraham de Moivre, and others who paved the way for future developments

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Tags: Anders Hald, Probability, Statistics