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Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations , probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms .
[notes 1] [3] [notes 2] This has since become known as a "logical-relationist" approach, [5] [notes 3] and become regarded as the seminal and still classic account of the logical interpretation of probability (or probabilistic logic), a view of probability that has been continued by such later works as Carnap's Logical Foundations of ...
First edition. Fat Chance: Probability from 0 to 1 is an introductory undergraduate-level textbook on probability theory, centered on the metaphor of games of chance. [1] It was written by Benedict Gross, Joe Harris, and Emily Riehl, based on a course for non-mathematicians taught to Harvard University undergraduates, and published by the Cambridge University Press in 2019.
The Doctrine of Chances was the first textbook on probability theory, written by 18th-century French mathematician Abraham de Moivre and first published in 1718. [1] De Moivre wrote in English because he resided in England at the time, having fled France to escape the persecution of Huguenots.
A Philosophical Essay on Probabilities is a work by Pierre-Simon Laplace on the mathematical theory of probability. [1] [2] [3] The book consists of two parts, the first with five chapters and the second with thirteen. [1]
The works of Feller are contained in 104 papers and two books on a variety of topics such as mathematical analysis, theory of measurement, functional analysis, geometry, and differential equations in addition to his work in mathematical statistics and probability. Feller was one of the greatest probabilists of the twentieth century.
The first half of this book deals with classical potential theory and the second half with probability theory, especially martingale theory. In writing this book, Doob shows that his two favorite subjects, martingales and potential theory, can be studied by the same mathematical tools. The American Mathematical Society's Joseph L. Doob Prize ...
Counterexamples in Probability is a mathematics book by Jordan M. Stoyanov. Intended to serve as a supplemental text for classes on probability theory and related topics, it covers cases where a mathematical proposition might seem to be true but actually turns out to be false.