What book did the professor use?

After the first demonstration of the "magic trick", I really wanted to understand why, how such a nice relationship between a number and its two equidistant neighbours! First I tried to figure it out geometrically, but I had no light bulb moment.. I took the algebraic path, expressed the two equidistant neighbours as x and (x+2n) and the number to be squared as (x+n), then wrote the formula for what the professor did in the demonstration: x*(x+2n)+n^2=(x+n)^2... And I giggled with the surprise to arrive at the square of the binomial formula!!! I have applied it so many times in school, that after decades I can still remember it! And I might have written the "a^2+2ab" part as "a(a+2b), but never ever seen in these factors, two equidistant values to (a+b). I am so glad this video showed up in my KZbin suggestions! Thank you!

İngilizce bilmediğim hâlde anladım. Teşekkürler:)

I wonder why my maths teacher never learnt it this way and taught us this..i would have been math genius by now fr.

Impressive!

If my parents loved me, I would have become a mathemagician like Art

I love that I'm learning how to do this, god bless the internet truly.

Amazing sir thanks

first

You still need the skill of multiplying in your head, but you’re using more manageable numbers to get it done (distributive property style). I like this. Everyone won’t have the skills to do it, but I like this.

first

Does anyone else close an eye sometimes when they're doing a calculation?? And if so...which eye do you close?

first

11:33 I couldn’t follow, as he doesn’t say his every thought. Can someone explain further?

When this guy was a student at Mayfield High School (Ohio), he was brought into my 8th grade algebra class at Mayfield Middle School (1978-79 school year) and taught the class his methods for squaring numbers, and I still use them today.

Wow

My man is so passionate about squaring

It is Vedic mathematics it is from India, which our sadhus made these tricks copied by west

❤👍

Elegant math

I like how simple this is, all he's saying is just A^2 = (A-d)(A+d) + d^2, but that's why its so smart to me.

This video gives a non-prime, non-integer mathematician insight into 'what's new' in this unique and interesting field within the broad horizon of mathematics. Very well stated overview.

love Art! super cool👍

I’ve been searching so many of his presentation. Finally found an explanation of how he guessed the missing number

But the question is asking median, mode, mean to form a NON-CONSTANT arithmetic progress. Your solution is to let them form Constant arithmetic progression. Am I correct?

Sir, your method is based on the formula : a^2=( a^2--b^2) +b^2= (a-b)( a+b) + b^2

Mathieu 12 simple group be like

Good job prof. 👍🏽

its called teacher..... thanks for improving knowledge

As my Specialist teacher would say "He made math his slave".

I do the 'working out the day of the week of any date' as well, but I do it slightly differently. My way sounds more complicated than Arthur's, but I find it easier because I don't have to remember a lot of year codes. For my version, I work out how many years since the last February 29th eg if the date is 13th July 1913, then the last 'leap day' (Feb 29th) was 1912, so I add '1'. Now I deduct 1900 from that leap year. 1912 - 1900 = 12. Then I add whatever I need to make this number a multiple of 7. I need to add 2 to 12 to get 14, so my year code is 1 + 2 = 3. For 8th February 1996, the last 'leap day' was four years ago, so my year code is 4 + 1 (the one is 1996 - 1900 = 96. 96 divided by 2 is 48, add 1 to get 49). To work out previous (or future centuries), I work out the same date in the 1900s, so if I wanted to know 13th July 1813 then I would use the same method as above. To adjust for the different century, just add two days for each century you go back, or deduct 2 days for each century in the future. 13th July 1913 was a Sunday, so 13th July 1813 was a Tuesday. This method will work for any date between 1600 and 2400. It won't work outside these dates, as it assumes that every fourth year is a leap year, but 1600 and 2400 aren't leap years.

Why are some people are hating him ?

This is really helpful - thank you Dr Benjamin. It's clear that he just 'knows' the squares of most, if not all, two-digit numbers, in much the same way as a lot of people watching this just 'know' that 6 x 9 is 54, or that 8 x 12 = 96. This must be really helpful for calculating some of the larger squares.

pretty cool trick but his speed takes years to achieve

Searching for "Mary P. Dolciani" on KZbin brings up a ton of videos by this clown. What gives???

mad lad

Funny thing that my school ( before ) teaches this making it simple. When I got to another city, they teach the exact same thing, making me a genius instantly lol/

"pretty easy right?" uhhhhh😶

The nuns and brothers in grade and high school never explained mathematics as effectively as this guy. Because of the high tension in the classroom (mostly because catholic school teachers of the clergy ruled by fear and yelled at you for wrong answers) I never learned to relax and enjoy the process. I was scared silly and put as little effort as possible into algebra calculus etc but I did really excel at geometry because I had a great lay teacher who got me interested

Very confusing! There is one indian kids square root numbers more easy to understand!

yes but how does he managed that in one second?

It's actually worked! Thanks for your knowledge sharing, sir!

I like that Arthur sir justified what shortcut he was teaching. You would get justification of the shortcuts everywhere.

His confidence and happiness reflects his pure hardwork... Really enthusiastic teacher!

Hi how you get this one 191 to 343 Can you show how to get the answers please.

Ax+by=cz solved this problem aploded office email id

It looked like this video was made in 80's until he grabbed Ipad

Omg.. he's a walking calculator

What a teacher!

That almost done is so promising