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Probability theory : a historical sketch /
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. T...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
New York :
Academic Press,
�1974.
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| Colección: | Probability and mathematical statistics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Probability Theory: A Historical Sketch; Copyright Page; Table of Contents; Foreword; Translator's Preface; Author's Preface; Introduction; Chapter 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; Chapter 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 theoryChapter 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) school12 Probability theory in Russia prior to the advent of the St. Petersburg school; Chapter 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; Chapter 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 Mises5 The beginning of a new stage in the development of probability theory; Bibliography; Index.