{"product_id":"unexpected-expectations-leonard-m-wapner-9781568817217","title":"Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball","description":"\u003cp\u003eThis work takes readers through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push one to reconsider the legitimacy of the applications. Requiring only an understanding of basic algebraic operations, the book covers the roles of aversion and risk in rational decision making, envelope problems, Parrondo's paradox, problems associated with imperfect recall, non-zero-sum games, Newcomb's paradox, and the use of Benford's law in computer design and fraud detection.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Leonard M. Wapner\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1568817215\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781568817217\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e A K PETERS\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/04\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 220\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.10lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.90d","brand":"Leonard M. Wapner","offers":[{"title":"Hardcover","offer_id":48623267643647,"sku":"9781568817217","price":160.0,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/unexpected-expectations-leonard-m-wapner-9781568817217","provider":"WR Book House","version":"1.0","type":"link"}