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Magnificent Mistakes in Mathematics

Magnificent Mistakes in Mathematics

by Ingmar Lehmann and Alfred S. Posamentier
Hardback
Publication Date: 15/09/2013

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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. Veteran math educators demonstrate how some ""magnificent mistakes"" had profound consequences for our understanding of mathematics' key concepts. 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 Decouverte 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. In another 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
ISBN:
9781616147471
9781616147471
Category:
History of mathematics
Format:
Hardback
Publication Date:
15-09-2013
Language:
English
Publisher:
Prometheus Books
Country of origin:
United States
Pages:
308
Dimensions (mm):
228x160x310mm
Weight:
1.41kg
Alfred S. Posamentier

Alfred S. Posamentier has published over sixty books in the area of mathematics and mathematics education, including Math Tricks: The Surprising Wonders of Shapes and Numbers,The Joy of Geometry, Math Makers: The Lives and Works of 50 Famous Mathematicians; The Mathematics of Everyday Life (with Christian Spreitzer); and The Joy of Mathematics (with Robert Geretschlager, Charles Li, and Christian Spreitzer). After having been on the faculty of the City College of the City University of New York for forty years, where he was a professor of mathematics education and dean of the School of Education, he subsequently held the same positions at Mercy College, New York, for five years. He was also executive director for internationalization and sponsored programs at Long Island University, New York. He is currently a Distinguished Lecturer at the New York City College of Technology of the City University of New York.

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