Magnificent Mistakes in Mathematics
暫譯: 數學中的絕妙錯誤

Posamentier, Alfred S., Lehmann, Ingmar

Magnificent Mistakes in Mathematics
  • 出版商: Prometheus Books
  • 出版日期: 2013-08-13
  • 售價: $1,080
  • 貴賓價: 9.5 折 $1,026
  • 語言: 英文
  • 頁數: 308
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1616147474
  • ISBN-13: 9781616147471
  • 相關分類: 數學
  • 相關翻譯: 精彩的數學錯誤(精) (簡中版)

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

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.

商品描述(中文翻譯)

兩位資深數學教育家將示範：某些「精彩的錯誤」如何對我們理解數學中的關鍵概念產生深遠影響。

十九世紀時，英國數學家 William Shanks 花了十五年計算圓周率（pi）的數值，創下計算至最多小數位數的紀錄。後來，人們以大型木製數字重現他的計算結果，並用來裝飾巴黎 Palais de la Découverte 一座大廳的圓頂。然而，1946 年，借助一部運轉了七十個小時的機械式桌上型計算機，人們發現他的計算在小數點後第 528 位出現錯誤。如今，超級電腦已將圓周率計算至數兆位小數。

這只是這本寫給一般讀者、介紹數學原理的指南中，眾多有趣且引人入勝的數學錯誤故事之一。另一個例子是，作者展示了當我們「證明」每個三角形都是等腰三角形時，便違反了一個連 Euclid 都不知道的概念——「介於關係」（betweenness）。而如果我們忽略歷久彌新的畢氏定理（Pythagorean theorem），那麼這便是對無限概念的誤用。即使採用正確的程序，有時也可能導出荒謬卻富有啟發性的結果。

這趟探索數學細微奧妙的趣味旅程，不要求讀者具備超過高中程度的數學能力，卻能幫助你更深入掌握這門基礎且至關重要的科學。

作者簡介

Alfred S. Posamentier is dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, New York. Previously, he had the same positions at the City College of the City University of New York for forty years. He has published over fifty-five books in the area of mathematics and mathematics education, including The Fabulous Fibonacci Numbers (with Ingmar Lehmann).

Ingmar Lehmann is retired from the mathematics faculty at Humboldt University in Berlin. For many years he led the Berlin Mathematics Student Society for gifted secondary-school students, with which he is still closely engaged today. He is the coauthor with Alfred S. Posamentier of The Secrets of Triangles, The Glorious Golden Ratio, and three other books.

作者簡介(中文翻譯)

Alfred S. Posamentier 是紐約州 Dobbs Ferry 的 Mercy College 教育學院院長兼數學教育教授。此前，他曾在紐約市立大學（City University of New York）的 City College 擔任相同職務長達四十年。他已出版超過五十五本數學與數學教育領域的書籍，其中包括與 Ingmar Lehmann 合著的《The Fabulous Fibonacci Numbers》。

Ingmar Lehmann 已從柏林 Humboldt University 數學系退休。多年來，他帶領專為資優中學生成立的 Berlin Mathematics Student Society，至今仍與該組織保持密切合作。他與 Alfred S. Posamentier 合著了《The Secrets of Triangles》、《The Glorious Golden Ratio》以及另外三本書。

類似商品

最後瀏覽商品 (3)