Happy Birthday To Urbain Le Verrier, Who Discovered Neptune With Math Alone

Urbain Le Verrier, Who Discovered Neptune

https://www.forbes.com/sites/startswithabang/2019/03/11/happy-birthday-to-urbain-le-verrier-who-discovered-neptune-with-math-alone/

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小算盘 大乾坤 Abacus

浙江临海市 国华珠算博物管主人 木匠 雷国华 收藏算盘20年,凭个人力量,保存中国算盘发源地的文化遗产,为此散尽钱财借债,免费开放给公众参观。说到家人因支持他而受苦,感慨激动不已。

中国的算盘上面2珠 (2×5),下面5珠(5), 共15,加1 = 16 进位。古代是16位 (Hexadecimal) 制, 半斤 八两 (= 1/2 斤 x 16 两 = 8 两)。

日本改良成10位制: 上面1珠 (1×5),下面4珠(4), 共9,加1 = 10 进位。

明朝万历年间的 “平民王子”朱载堉 (1536 AD – 1610 AD) 发明现代音乐的 十二平均律 (12-tone Equal Temperament) , 用81档的大算盘算出:先开立方根,后开平方根 2 次

\boxed { \displaystyle \sqrt[12] {2} = 2^{\frac {1}{12} }= 2^{{\frac {1}{3}}.{\frac {1}{2}}.{\frac {1}{2}}} = \sqrt {\sqrt {\sqrt[3]{2}}}}

13 classic mathematics books for lifelong learners

View story at Medium.com

Out of 13 must-read Popular Math books, our Singapore National Library NLB has 6 which I borrowed and read: eg. “Prime Obsession” , “What is Mathematics” , etc.

Popular math books are better than the boring textbooks (Axiom – Theorem – Proof – Exercise). They are motivational, more concrete instead of abstract, philosophical analogy with the Nature (afterall, the math ideas derived from the universe, eg. Pi, e, golden ratio, infinity, limit, …), plus the historical background in which these math ideas were first discovered, and the beauty of these inter-connected ideas such as the Euler’s Identity:

\boxed{e^{i. \pi} + 1 = 0}

Proof from the Book” – the name “Book” (God’s Theorem Proof Book) is coined by Paul Erdos the Hungarian ‘vagabond’ (homeless, single, no nationality) mathematician, who had proven 1000+ theorems (some co-operated with his students). He said he had peeped into God’s “Book” to discover these theorems.

My favorite Popular Math book which inspired me in 2005 to re-pick up the fearsome Abstract (aka Modern) Algebra is : “Unknown Quantity” by Prof John Derbyshire, avail at NLB.

Math before university is the “What and How“, whereas the University Math is the “Why” – after WW2 the French Bourbaki Reform in Math Education worldwide based on Set Theory, the post-war Philosophy Trend “The Structurism 结构主义” shaking the basic foundation of Math: Algebraic Structures. eg Group (群) , Ring (环) , Field (域) , Vector Space (向量空间) , Cateogy Theory (范畴论) .

The 70 years of WW1 & 2 taught the world Anarchism (无政府主义) was chaotic & disastrous to society, hence the more orderly “Structurism” Philosophy was born, influencing all Sciences: Chomsky Linguistics, Sociology, IT Structured Programming ‘Pascal’ , Anthropology 人类学, Abstract Algebraic Structure Math…

Mathematics (Mathematikos) = “Fond of Learning”

Μαθηματικος (Mathematikos) = Mathematics = Fond of Learning

Three simple A-level to undergraduate Mathematics a MUST for Data Science and AI:

  1. Linear Algebra (aka Matrix)
  2. Probability (Baeysian)
  3. Statistics
  4. etc

Source:

eFinancialCareers: The mathematics you must learn for a job in data science and AI.
https://news.efinancialcareers.com/us-en/329159/math-for-data-science-and-machine-learning

https://www.dataquest.io/blog/math-in-data-science/