The Genius of Euler: Reflections on his Life and Work

William Dunham

  • 出版商: The Mathematical Ass
  • 出版日期: 2007-03-15
  • 售價: $1,150
  • 貴賓價: 9.8$1,127
  • 語言: 英文
  • 頁數: 326
  • 裝訂: Hardcover
  • ISBN: 0883855585
  • ISBN-13: 9780883855584
  • 立即出貨 (庫存=1)

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Description

This book celebrates the 300th birthday of Leonhard Euler (1707 1783), one of the brightest stars in the mathematical firmament. The book stands as a testimonial to a mathematician of unsurpassed insight, industry, and ingenuity one who has been rightly called the master of us all. The collected articles, aimed at a mathematically literate audience, address aspects of Euler s life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006. Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. Along the way, the reader will encounter the Königsberg bridges, the 36-officers, Euler s constant, and the zeta function. There are papers on Euler s number theory, his calculus of variations, and his polyhedral formula. Of special note are the number and quality of authors represented here. Among the 34 contributors are some of the most illustrious mathematicians and mathematics historians of the past century e.g., Florian Cajori, Carl Boyer, George Pólya, Andre Weil, and Paul Erdös. And there are a few poems and a mnemonic just for fun.

商品描述(中文翻譯)

這本書慶祝數學家Leonhard Euler(1707-1783)的300歲生日,他是數學界最耀眼的明星之一。這本書是對一位洞察力、勤奮和獨創力都無與倫比的數學家的讚譽,他被稱為我們所有人的大師。這些文章針對數學素養的讀者,從生平到歷史再到數學方面,探討了Euler的生活和工作。其中最早的一篇寫於1872年,最新的一篇則是2006年的。其中一些論文聚焦於Euler及其世界,其他論文描述了Euler的特定成就,還有一些論文概述了Euler對數學的重要貢獻。在閱讀過程中,讀者將會遇到Königsberg橋、36官員問題、Euler常數和黎曼ζ函數。書中還有關於Euler的數論、變分計算和多面體公式的論文。特別值得注意的是,這裡有許多傑出的數學家和數學歷史學家,包括Florian Cajori、Carl Boyer、George Pólya、Andre Weil和Paul Erdős等。還有一些詩歌和一個有趣的記憶法。