孔雀的冠羽
The Crest of the Peacock
George Gheverghese Joseph · 初版 1991 年
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从中非的 Ishango Bone 和南美洲印加人的 quipu，到现代数学的黎明，The Crest of the Peacock 清楚地表明，世界各地的人类都有能力进行先进而创新的数学思考。George Gheverghese Joseph 带我们踏上了一场令人惊叹的多元文化之旅，探索非欧洲数学的根源与新生。他向我们展示了埃及人和巴比伦人对希腊人的深远影响、阿拉伯人重大的创造性贡献，以及印度和中国伟大文明令人惊叹的辉煌成就。第三版
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……数学史以及不同思想产生的历史背景。这里有个讲复数的很棒例子：https://www.youtube.com/watch?v=T647CGsuOVU 可能跟你的目标有点偏离，但《孔雀的羽冠》（The Crest of the Peacock）是一本讲非欧洲数学传统的优秀书籍，它对其他文化中确立和验证数学知识的过程提供了一些独到的见解。你可以试试看……
…history of math and the historical context that different ideas came from. Here's a nice example covering complex numbers https://www.youtube.com/watch?v=T647CGsuOVU Maybe tangential to your ends, but the Crest of the Peacock is a nice book on non-European mathematical traditions, which provides some insight into how the process of establishing and validating mathematical knowledge works in other cultures. You might try books…
如果这篇文章勾起了你的兴趣，去看看《孔雀的羽冠》（The Crest of the Peacock）里关于埃及数学的那一章：https://www.ms.uky.edu/~sohum/ma330/files/Crest_of_the_peaco...
If this article intrigues, see the chapter on Egyptian mathematics in The Crest of the Peacock: https://www.ms.uky.edu/~sohum/ma330/files/Crest_of_the_peaco...
……彻底改变了全球茶叶贸易。虽然这个例子属于植物学而非数学领域，但它说明了各国为了攫取知识而不遗余力。（来源：Joseph, G. G. (2011). 《孔雀的羽冠：数学的非欧洲根源》（The Crest of the Peacock: Non-European Roots of Mathematics）第三版。普林斯顿大学出版社。）
…fundamentally altering the global tea trade. While this example pertains to botany rather than mathematics, it illustrates the lengths to which nations went extract knowledge. (Source: Joseph, G. G. (2011). The Crest of the Peacock: Non-European Roots of Mathematics (Third Edition). Princeton University Press.)
……*承认代数的起源危险在哪？荒唐在哪？* ~ @我自己 对于数学史学家乔治·约瑟夫（George Joseph）的《孔雀的羽冠：数学的非欧洲根源》（The Crest of the Peacock: Non-European Roots of Mathematics，1991）里的内容，你有“任何”实质性的批评意见吗？这似乎早就是公认的材料了，我早在1980年代初就在澳洲国立大学（ANU）图书馆读过。
…*Where's the danger? Where's the nonsense in acknowledging the origins of algebra?* ~ @myself Do you have _ any _ meaningful critique of the contents of, say, maths historian George Joseph’s book The Crest of the Peacock: Non-European Roots of Mathematics (1991) ? This appears to be old established material that I read in the ANU library back in the early 1980s.
……只是一个特例，而不是普遍概念；如果我没理解错的话，这是个很关键的区别。）所以我现在又纠结了。[编辑补充：]讨论的那本书叫《孔雀的羽冠：数学的非欧洲根源》（The crest of the peacock: Non-European roots of mathematics）。好吧，在我看来，这里最靠谱的说法顶多是牛顿发现微积分受到了某些前人密切相关工作的启发，比如……
…was a special case rather than the general concept, though; if I'm right about that, it's an important distinction.) So now I'm conflicted again. [EDITED to add:] The book in question is called "The crest of the peacock: Non-European roots of mathematics". Well, it seems to me that the most that can credibly be true here is that Newton's discovery of calculus was influenced by closely related prior work by the likes…