Magnificent Mistakes in Mathematics

Magnificent Mistakes in Mathematics Requiring no 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 d

  • Title: Magnificent Mistakes in Mathematics
  • Author: Alfred S. Posamentier Ignmar Lehmann
  • ISBN: 9781616147471
  • Page: 457
  • Format: Hardcover
  • Requiring no 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 mathematicianRequiring no 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 D 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.

    One thought on “Magnificent Mistakes in Mathematics”

    1. This book was a disappointment that did not live up to the advance hype. The hype is exemplified by the first paragraph of the blurb, which ends "Veteran math educators demonstrate how some 'magnificent mistakes' had profound consequences for our understanding of mathematics' key concepts." I did not find any of the mistakes leading to any worthwhile consequences. The Library Journal Review quotes Harold D. Shane, Mathematics, Emeritus, Baruch Coll CUNY "Many of the errors are clever and instruc [...]

    2. Magnificent Mistakes in Mathematics is a pretty good read, so I wrote a book report of it for my class. In all honesty, the readers really do need to be well-versed in mathematics to understand the book. A lot of mistakes are well-explained. Occasionally, they are left to figure out why it's a mistake when it is not explained by the authors which can be annoying at times. A good example of it is pg. 117 about a mistake in the series where S = -1 when it is supposed to be positive. There is no ex [...]

    3. Gave up reading it. It basically lists out all the possible mistakes a student can make in the classroom, including some mistakes that they are not likely to make. While there were some interesting historical facts about great mathematicians and their mistakes, the rest of the book covered mistakes that were nowhere near to magnificent.

    4. An interesting account of famous mistakes and unanswered questions in mathematics. Note, however, that the book reads more like a series of brief encyclopedic entries rather than a narrative.

    5. It was generally confusing, but I did find a few interesting "mistakes", such as the Monty Hall problem and the Coin Flipping Trick.

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