This textbok is designed for graduate students in probability theory. It merges measure theory with probability theory, and rather than deal only with "random variables" it also looks at "random objects". There is a chapter of introductory material for advanced topics, as well as over 1000 exercises, ranging from gambling theory to concrete calculations involving random sets. All of the problems in the exercises are designed to help students get beyond mere rote learning of theorems and proofs to a deep intuitive feel for the far-reaching implications of the theory. Solutions are provided for approximately a quarter of the exercises.
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"Covers the essentials in a clear and readable fashion... A must for professionals and an attractive text for a graduate course." ―American Mathematical Monthly (review of the first edition)
"This ambitious book is intended as ‘a textbook in probability for graduate students in mathematics and related areas such as economics, statistics, physics and operations research’...The coverage is careful and thorough...Quite a lot of fairly recent material is incorporated, and this is certainly one of the book’s strengths. The selection of material is sensible, and the quality of exposition is good...In sum: the book contains a lot of good mathematics, nicely done, and should prove useful to students and teachers, and to specialists in probability theory." ―Mathematical Reviews (review of the first edition)
"The book takes the reader from a relatively low level.... To the point where he or she can specialize in research topics of current interest. ...an outstanding basis for teaching a graduate course in probability theory. The exhaustive compilation of results and detailed index also make it a very useful reference text for the more advanced probabilist... a good buy for anyone looking for a very accessible and complete mathematical account of modern probability theory." ―Journal of the American Statistical Association (review of the first edition)
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