Magnificent Mistakes in Mathematics

Magnificent Mistakes in Mathematics

Book - 2013
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Two 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 D#65533;couverte 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 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.
Publisher: Amherst, New York :, Prometheus Books,, 2013, ©2013.
ISBN: 9781616147471
Branch Call Number: 510 POS
Characteristics: 296 pages : illustrations ; 24 cm.
Additional Contributors: Lehmann, Ingmar - Author

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maroon_chicken
Apr 09, 2015

This book is a collection of all of the "proofs" that show that 1+1=1, or that all triangles are equilateral, or other things like that. Very entertaining.

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