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Counterexamples in Probability: Third Edition (Dover Books on Mathematics) 3rd Edition

4.7 out of 5 stars 6 customer reviews
ISBN-13: 978-0486499987
ISBN-10: 0486499987
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Frequently Bought Together

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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 400 pages
  • Publisher: Dover Publications; 3 edition (January 15, 2014)
  • Language: English
  • ISBN-10: 0486499987
  • ISBN-13: 978-0486499987
  • Product Dimensions: 1 x 5.5 x 8.5 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #534,595 in Books (See Top 100 in Books)

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Format: Paperback Verified Purchase
This is the third edition of the book. The first two editions were published by Wiley. Now, finally we have this wonderful book as a paperback from Dover, at a very affordable price.

The author of the book has collected in one volume hundreds of examples from textbooks, monographs, and original papers of numerous authors. The examples are well organized, with explanations in each section, setting up the scene, giving the big picture, and explaining the motivation behind the questions that the counterexamples answer. There is an extensive bibliography pointing to the origins of the examples and suggesting further reading. I am truly impressed by the breadth of the material, by the sheer amount of work that must have gone into this project.

The level of the counterexamples range from the very simple to the highly technical. Thus, everybody studying or teaching Probability will find something in this book to enjoy. From the novice to the sophisticated mathematician working in that field, everyone will find new information, new things to learn. This being said, it should be noted that the book requires a certain degree of proficiency with Probability. The writing is clear, but terse at times, and requires the reader to be willing to follow the calculations with a pencil and paper. More advanced readers will probably get more out of the book than laymen, but there is truly something for everybody in this little book.

As an interesting aside, the book includes several (four or five) pictures from A.T.Fomenko, the Russian mathematician who became famous for his work in Minimal Surfaces and for his mathematics-inspired art (and, more recently, infamous for his revision of chronology). The pictures included are not directly related to the text, but are math-inspired and create an interesting ambiance.
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Format: Paperback Verified Purchase
Following the successful "Counterexamples in Topology", lots of good math books that begin with "Counterexample in" should be tried, but this is one of the very few so far. The book deserves praise for that. The bad news is that the discussion is extremely technical and many of the examples don't feel very "counter". This is some inside baseball for hardcore probabilists. It would be nice to see a more inspired, more accessible effort.
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Format: Paperback Verified Purchase
This is an excellent book written by a world renowned probabilist. I recommend it to all graduate students and researchers in analysis and probability. It is a critical approach in studying probability and measure theory.
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