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Probability theory is a well-established branch of mathematics that finds applications in a wide area of scholarly activities such as in physics, chemistry, geology, medicine, economics, sociology, engineering, operation research, etc. With his insightful exploration of the probabilistic connection between philosophy and the history of science, John Maynard Keynes, perhaps the best known of economists, breathed new life in the study of both these disciplines. His A Treatise on Probability is an outstanding mathematical work and is widely considered as an important contribution to the theory regarding the logical probability of proportions. What Keynes wrote is sacrosanct and has been retained in this book. His original book is in 31 chapters. In order to facilitate updating, we have combined some chapters and presented it in 26 chapters and converted it into third person from the original first person, keeping in view the modern trend. We have added important developments that have taken place since Keynes wrote the book, to provide updated material to the students and teachers of various disciplines. The book is divided into five parts. Part-I provides fundamental ideas on probability. Part-II contains fundamental theorems. Part-III deals with induction and analogy. Part-IV throws light on some philosophical applications of probability, while Part-V relates to the foundations of statistical inference. Bibliography has been updated by including more books. Index also stands revised and updated. Exclusive chapters ?Practice Problems? have been added in each part except Part-IV, containing a large number of solved exercises providing plenty of opportunity to the students for practicing skills and developing a sound understanding of the subject. Unsolved exercises have been given under ?Test Yourself? The book with updated matter and in its present layout will be useful for students and teachers of various disciplines including economics, physical sciences, engineering, geology, statistics, economics and sociology. Contents : Preface?Volume - I?Part-I?Fundamental Ideas?1. Introduction; 2. Probability: The Study of Chances; 3. The Measurement of Probabilities; 4. The Frequency Theory of Probability; 5. Practice Problems?Part-II?Fundamental Theorems?6. Theorems of Probability; 7. Probability and Inference; 8. Measurement and Approximation of Probabilities; 9. Problems in Inverse Probability; 1. Practice Problems?Part-III?Induction and Analogy?11. The Nature of Argument by Analogy; 12. Pure Induction; 13. The Nature of Inductive Argument Continued; 14. The Justification of These Methods; 15. Some Historical Notes on Induction Printed Pages: 546. Buchnummer des Verkäufers 69212
Inhaltsangabe: Excerpt from A Treatise on Probability
The subject matter of this book was first broached in the brain of Leibniz, who, in the dissertation, written in his twenty-third year, on the mode of electing the kings of Poland, conceived of Probability as a branch of Logic. A few years before, "un probleme," in the words of Poisson, "propos a un austere janseniste par un homme du monde, a eté Forigine du calcul des probabilites." In the intervening centuries the algebraical exercises, in which the Chevalier de la Mere interested Pascal, have so far predominated in the learned world over the profounder enquiries of the philosopher into those processes of human faculty which, by determining reasonable preference, guide our choice, that Probability is oftener reckoned with Mathematics than with Logic. There is much here, therefore, which is novel, and, being novel, unsifted, inaccurate, or deficient. I propound my systematic conception of this subject for criticism and enlargement at the hand of others, doubtful whether I myself am likely to get much further, by waiting longer, with a work, which, beginning as a Fellowship Dissertation, and interrupted by the war. has already extended over many years.
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Titel: A Treatise on Probability, Vol. I
Verlag: Atlantic Publishers & Distributors (P) Ltd.
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