Probability Theory

Probability Theory

A Historical Sketch

1st Edition - January 28, 1974

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  • Author: L. E. Maistrov
  • eBook ISBN: 9781483218632

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Probability Theory: A Historical Sketch covers the probability theory, mainly axiomatization problems. The book discusses the prehistory of the probability theory; the first stage in the development of probability theory; and the development of probability theory to the middle of the 19th century. The text also describes the probability theory in the second half of the 19th century; and the axiomatic foundations of the probability theory. Historians and mathematicians will find the book invaluable.

Table of Contents

  • Foreword

    Translator's Preface

    Author's Preface


    I Prehistory of Probability Theory

    1 Basic stimuli in the rise of probability theory

    2 The role of gambling in the rise of probability theory

    3 The first problems

    4 Cardano and Tartaglia

    5 Elements of probability theory in Galileo's works

    6 Basic stages in the development of combinatorics

    II The First Stage in the Development of Probability Theory

    1 De Mere's legend

    2 Letters between Fermat and Pascal

    3 Contributions of Huygens to probability theory

    III The Development of Probability Theory to the Middle of the Nineteenth Century

    1 James Bernoulli and his treatise "Ars Conjectandi"

    2 The development of probability theory in the first half of the eighteenth century

    3 Simpson's contributions to probability theory

    4 Thomas Bayes and his theorem

    5 Euler's and Daniel Bernoulli's contributions

    6 G. L. Buffon

    7 Opposition from d'Alembert

    8 Jean Antoine de Caritat, Marquis de Condorcet

    9 Laplace and his contributions to probability theory

    10 Distribution of random errors

    11 The state of probability theory in Europe prior to the advent of the Russian (St. Petersburg) school

    12 Probability theory in Russia prior to the advent of the St. Petersburg school 161

    IV Probability Theory in the Second Half of the Nineteenth Century

    1 Chebyshev—the originator of the Russian school of probability theory

    2 Prominent representatives of the St. Petersburg school

    3 Probability in physics

    4 Bertrand's paradoxes

    V The Axiomatic Foundations of Probability Theory

    1 The need for axiomatization

    2 Prerequisites for axiomatization

    3 Bernstein's contributions

    4 The frequency approach of R. von Mises

    5 The beginning of a new stage in the development of probability theory



Product details

  • No. of pages: 292
  • Language: English
  • Copyright: © Academic Press 1974
  • Published: January 28, 1974
  • Imprint: Academic Press
  • eBook ISBN: 9781483218632

About the Author

L. E. Maistrov

About the Editor

Samuel Kotz

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