https://blogs.ntu.edu.sg/hey/2014/08/15/lifes-going-to-get-more-interesting-and-difficult/

您認為快樂的，就去尋找。

您認為值得的，就去守候。

您認為幸福的，就去珍惜。

**依心而行，無憾今生。**

人生1條路：

**走自己的路。**

https://blogs.ntu.edu.sg/hey/2014/08/15/lifes-going-to-get-more-interesting-and-difficult/

您認為快樂的，就去尋找。

您認為值得的，就去守候。

您認為幸福的，就去珍惜。

**依心而行，無憾今生。**

人生1條路：

**走自己的路。**

日本数学科普作家写的好书。深入浅出, 适合中学生读最高深数学。

結城 浩 Hiroshi Yuki (1963 -) is a Japanese Math Popular Book Writer for Secondary and High School students. In the “Galois Theory” (Chapter 10) he boldly attempted to explain to them such complicated concepts: Quotient Group, Field Extension, Group Order, Normal Sub-Group, Solvable Group …

Evariste Galois‘s genius is he built a “bridge” between **Field (域/体)** and **Group (群)** – both new concepts invented by him. The “bridge” is called **Galois Group**, or by Emile Artin the “Group Automorphism”. He transferred the difficult problem of solving complicated 4 -ops (+-×/) Field (coefficients) to the single-op (permutation of roots) Group.

Galois Group is the ultimate TRUTH of all Math — Fermat’s Last Theorem, and any advanced Math, will use Galois Group or Field, to solve. Prof C.N. Yang 杨振宁 Nobel-Prize Physics discovery was based on Group Theory.

Evariste Galois was a French Math genius, died at 21 in a duel during French Revolution. He is the ‘Father’ of Modern Algebra. Failed 2 years in Ecole Polytechnique CONCOURS Entrance Exams, then kicked out by Ecole Normale Supérieure, his Math was not understood by all the 19th century World’s greatest Math Masters : Gauss, Fourier, Poisson, Cauchy…

“Galois Theory” — the ultimate Math “葵花宝典” (a.k.a. “*Kongfu Bible*“) — is only taught in the Math Honors Undergraduate or Masters degree Course.

**自己学习《Galois Theory》(Page 365):**

— “高中会教这种困难的数学吗 ?”

— “…我觉得比起給高中老师教, 不如自己好好学吧。”

— ” 重要的是** 自己学习**。”

http://m.ruten.com.tw/goods/show.php?g=21437146332387

http://www.nh.com.tw/nh_bookView.jsp?cat_c=01&stk_c=9789866097010

https://tomcircle.wordpress.com/2014/03/21/math-girls-manga/

7+2+5 = ?

(Test the logic pattern)

Ans: (Scroll below — only after you have tried to solve it )

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7+(2)+5= **143547**

7×2=14

7×5=35

14 + 35 – (2)=47

No equation, no formula, no calculator, no writing on paper, just do mental calculation.

What is the answer in the last diagram ?

Scroll down to see the answer, but not until you have tried yourself.

(There are many methods, but one is the fastest and the best !)

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Ans:

Add the first 3 diagrams: 10+20+24 = 54 for 2x (Dog + Cat + Rabbit).

Dog + Cat + Rabbit = 54/2 = **27**

Amazing calculation technique of Indian kids:

It is the advanced level of abacus calculation, whereby the physical abacus is replaced by a virtual abacus in the mind — see the kids need to move their fingers in the air, as if they touch a real abacus. The display of the workings (moving up and down of the abacus beans) in the mind is like seeing the abacus image from a computer screen. It means also the kids are still not mentally calculating per se, they just continue to calculate on the ‘virtual’ abacus.

This is different from a **real** mental calculation sans a physical electronic calculator, in which case no fingers playing the pressing buttons of an electronic calculator. The brain is the real calculator, with some helps of math tricks and shortcuts.

**How nice it would be if yesterday were tomorrow, then today would be Friday.**

What is **‘today’** here ?

**Answer:**

A. Wednesday;

B. Thursday;

C. Friday;

D. Sunday

__Hints:__

either use **left brain** (by logic) or

**right brain** (by EQ, after a Sunday evening).

Try before scrolling below for answers:

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Answer (1) : by logic (algebra)

Today = Wednesday

Let today = d

If d-1 = d+1 (yesterday = tomorrow)

Then d = (d+1)+1=d+2 (today = the day after tomorrow)

and d+2 = 5 (today = Friday)

hence

d = 5 – 2 =3

**Today is Wednesday.**

**Answer (2): by EQ**

“Monday Blue”.

**That is today is SUNDAY.**

How nice if Tomorrow (Monday Blue) were like Yesterday (Saturday), then Today would be “T.G.I.F.” (Thank God is Friday’).