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Download pdf Magnificent Mistakes in Mathematics
Download pdf Magnificent Mistakes in Mathematics
Magnificent Mistakes in Mathematics.cIngmar Lehmann
---------------------------------------------------------------
Author: Ingmar Lehmann
Number of Pages: 296 pages
Published Date: 13 Aug 2013
Publisher: Prometheus Books
Publication Country: Amherst, United States
Language: English
ISBN: 9781616147471
File size: 44 Mb
File Name: magnificent.mistakes.in.mathematics.pdf
Download Link: magnificent mistakes in mathematics
---------------------------------------------------------------
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 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 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.
Read online Magnificent Mistakes in Mathematics Buy and read online Magnificent Mistakes in Mathematics Download and read Magnificent Mistakes in Mathematics for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Magnificent Mistakes in Mathematics
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Magnificent Mistakes in Mathematics.cIngmar Lehmann
Author: Ingmar Lehmann
Number of Pages: 296 pages
Published Date: 13 Aug 2013
Publisher: Prometheus Books
Publication Country: Amherst, United States
Language: English
ISBN: 9781616147471
File size: 44 Mb
File Name: magnificent.mistakes.in.mathematics.pdf
Download Link: magnificent mistakes in mathematics
---------------------------------------------------------------
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 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 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.
Read online Magnificent Mistakes in Mathematics Buy and read online Magnificent Mistakes in Mathematics Download and read Magnificent Mistakes in Mathematics for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Magnificent Mistakes in Mathematics
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