{"product_id":"magnificent-mistakes-in-mathematics-alfred-s-posamentier-9781616147471","title":"Magnificent Mistakes in Mathematics","description":"In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la D馗ouverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places.This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. Veteran math educators Alfred S. Posamentier and Ingmar Lehmann demonstrate how some \"magnificent mistakes\" had profound consequences for our understanding of mathematics' key concepts. For example, the authors show that when we \"prove\" that every triangle is isosceles, we are violating a concept not even known to Euclid--that of \"betweenness.\" And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd--but enlightening--results.Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Alfred S. Posamentier, Ingmar Lehmann\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1616147474\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781616147471\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Prometheus Books\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/13\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 308\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.22lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.29h x 6.27w x 0.92d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eLibrary Journal\u003c\/i\u003e 08\/01\/2013 pg. 118\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 04\/01\/2014","brand":"Alfred S. Posamentier","offers":[{"title":"Paperback","offer_id":43987007701247,"sku":"9781616147471","price":24.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_14e2c553-dfcb-4e6e-bb6c-c53b3d6ac480.jpg?v=1683286461","url":"https:\/\/www.whiterainbookhouse.com\/products\/magnificent-mistakes-in-mathematics-alfred-s-posamentier-9781616147471","provider":"WR Book House","version":"1.0","type":"link"}