Counterexamples In Probability
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''Counterexamples in Probability'' is a mathematics book by Jordan M. Stoyanov. Intended to serve as a supplemental text for classes on
probability theory 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 expre ...
and related topics, it covers cases where a mathematical proposition might seem to be true but actually turns out to be false. First published in 1987, the book received a second edition in 1997 and a third in 2013.


Reception

Robert W. Hayden, reviewing the book for the
Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...
, found it unsuitable for reading cover-to-cover, while recommending it as a reference for "graduate students and probabilists...the small audience whose needs match the title and level." Similarly, Geoffrey Grimmett called the book an "excellent browse" that, despite being a "serious work of scholarship" would not be suitable as a course textbook. R. W. Hammett wrote that it "should become a classic supplement" for those students who wish to go above and beyond their ordinary course requirements, and that "it should also become essential to those who plan to work in the field." D. R. Grey gave it a positive evaluation as a reference text while noting that the counterexamples it includes range "from those accessible to first-year undergraduates ... to those only comprehensible to specialists in stochastic processes". Richard Durrett gave a more negative review, saying that "Most readers will learn a few interesting things" but regarding most of the counterexamples to be well-known or redundant. While Durrett appreciated the illustrations by A. T. Fomenko, the more positive review by F. W. Steutel did not, calling them a "rather unhappy cross" between Dalí and Escher.


Publication history

* * * The book was also issued in Russian editions in 1999 and 2012.


See also

* ''
Counterexamples in Probability and Statistics ''Counterexamples in Probability and Statistics'' is a mathematics book by Joseph P. Romano and Andrew F. Siegel. It began as Romano's senior thesis at Princeton University under Siegel's supervision, and was intended for use as a supplemental wor ...
,'' a different book with similar subject matter


References

{{reflist 2013 non-fiction books
Probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
Probability books