Posamentier Alfred S., Lehmann Ignmar Magnificent Mistakes in Mathematics 9781616147471

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Автор: Posamentier Alfred S., Lehmann Ignmar
Название: Magnificent Mistakes in Mathematics
ISBN: 9781616147471
Издательство: Random House (USA)
Классификация:

Энциклопедии и справочные материалы

ISBN-10: 1616147474
Обложка/Формат: Hardback
Вес: 0.56 кг.
Дата издания: 13.08.2013
Язык: English
Иллюстрации: Illustrations
Размер: 235 x 166 x 22
Читательская аудитория: General (us: trade)
Рейтинг:
Поставляется из: США
Описание: 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 laypersons 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.

Magnificent Mistakes in Mathematics, Posamentier Alfred S., Lehmann Ignmar