I have a set of his maths teachings on DVD and can only say I wish that I had had such maths teachers when at school..He brings a freshness,interest and vivacity to this incredibly complex and absorbing subject like very few others.
They really should've took the time to teach us students this in elementary school. The school board should've actually included this in the curriculum.
He actually reminds me of me. When I was younger, a friend wanted to know how to calculate a series of push-ups descending from a given number. I guess as a jock he needed a simpler way to count. In short he would start at say 50 push-ups on the first set and end with just one push-up at the last set. I started with a small number ten. (a) because it was easier to work with and (b) unlike my friend I was not a jock and ten seemed a safe number to start with without hurting myself. I noticed a pattern right away. In a series of ten (1,2,3,4,5,6,7,8,9,10) if I added a zero (0,1,2,3,4,5,6,7,8,9,10) adding the outside numbers and continuing so till I had none left gave me this: 0+10=10, 1+9=10,2+8=10,3+7=10,4+6=10,and 5 remains by itself. This of course is the same as 5X10+5=55. Know I started to see something. 5 is half of 10, so what if I multiplied a number by half of itself and added it's half. So I tested it with another simple yet slightly braver number. I added two more push-ups, and guess what. I was right. There still was a pattern (0,1,2,3,4,5,6,7,8,9,10,11,12)=12X6+6=78 .I thought I was a genius, That is until I started calculus a few years later and found out that it is the first of a set of problems in summation known as infinite series. I was happy to have been able to discover it on my own though. It gave me a clearer understanding of how numbers work and an advantage over others who never used infinite series.
It is the EXACT same as the TED-talk version. He didn't change the manus. Even the same body language. So, go to the TED-talk version which have +800'000 views and add it with the views on this, and it will be over a million views. ... So ain't that bad.
Very nice, handy tricks and impressive demonstrations! Some of the tricks can be proven quite easily using multiplication of abstract binomial representations with some simple factoring. Those proofs, I think, put the methods on solid ground and are pretty easy to follow. Providing at least one trick proof could make this a more exciting and meaningful presentation for those in the audience who can follow such a simple proof.
There is actually a recognition of pattern to determine the day of the week of a date. The way I do it (without any outside help) goes like this: 1997 has the first Sunday as 5 January. Then I run down all the first Sundays: 5, 2, (nonleap year) 2, 6... If the 6 April is Sunday, then the 29th MUST be a Tuesday. The only math involved is where in the pattern one is (which repeats every 28 years between 1900 and 2100) and it repeats every 400 years. This is the only ability I can match now.
I figured out all these tricks for arithmetic after learning algebra. Most people learn algebra and forget that it is basically generalized arithmetic. When you learn how to manipulate algebraic expressions and equations, you can do the same with numerical expressions.
Is there any good methods to calculate high exponents? What Arthur Benjamin does is really just squaring, 3 to even 5-digit numbers squared. But how about 7^8 or something like that? Or lower, 6^7? Is there any efficient methods do calculate higher powers mentally?
wow! wow! wow! I know I've personally figured out some fast and easy ways of solving several math problems, but some things I see here has definitely made me go back to my elementary maths! Awesome! My Maths Society would love this! Not much of a magic for me, but at least, a wake up call! Thanks for sharing this awesome vid! and by the way, what is the title of the books he talked about?
I'd say it's the language of logic, which simply happens to apply to the sciences. I say that since you can calculate things that aren't real, but are logical (which might sound like an oxymoron, but it isn't).
this is all maths tricks. don't get me wrong, they aren't easy to solve if you lack the talent for maths. but if you can add/multiply small numbers quickly you can do this :)
To anyone who might complain that his act is always exactly the same, that's because he couldn't manage it any other way. The less thought he has to put into the act itself, the more he has left over for all the calculations.
the reason they never taught you these methods is because math at school shouldnt be about the calculating itself but the understanding of mathematical thinking, so if they would teach you those methods they would also have to provide the evidence that these methods actually always work , which is much harder than the methods themself
Arithmetic is a branch of mathematics, but that does not make 'doing arithmetic' the same as 'doing mathematics'. Studying arithmetic would be doing maths, but that would be almost as tedious as memorising 100 digit numbers.
the last trick is very cool. but before he begins his calculation he already know the answer. the number would start with a 5 and end with a 9. if he knew that he probibly know the whole product of the calculation.
Unfortunately this was not the brightest audience. I felt they didn't appreciate what they were witness as much. He should've done this at a university for the students, would've been a riot!
Who ever uploaded this, thank you very much!
his theory and logic made it feels like numbers, algebra and math we learn at school are nothing.. REALLY A GREAT GUY !
I have a set of his maths teachings on DVD and can only say I wish that I had had such maths teachers when at school..He brings a freshness,interest and vivacity to this incredibly complex and absorbing subject like very few others.
This one hour is worth 50 years of life !
It's the best 1 hour i spent in my life :) -- thank you for this video.
They really should've took the time to teach us students this in elementary school. The school board should've actually included this in the curriculum.
He actually reminds me of me. When I was younger, a friend wanted to know how to calculate a series of push-ups descending from a given number. I guess as a jock he needed a simpler way to count. In short he would start at say 50 push-ups on the first set and end with just one push-up at the last set. I started with a small number ten. (a) because it was easier to work with and (b) unlike my friend I was not a jock and ten seemed a safe number to start with without hurting myself. I noticed a pattern right away. In a series of ten (1,2,3,4,5,6,7,8,9,10) if I added a zero (0,1,2,3,4,5,6,7,8,9,10) adding the outside numbers and continuing so till I had none left gave me this: 0+10=10, 1+9=10,2+8=10,3+7=10,4+6=10,and 5 remains by itself. This of course is the same as 5X10+5=55. Know I started to see something. 5 is half of 10, so what if I multiplied a number by half of itself and added it's half. So I tested it with another simple yet slightly braver number. I added two more push-ups, and guess what. I was right. There still was a pattern (0,1,2,3,4,5,6,7,8,9,10,11,12)=12X6+6=78 .I thought I was a genius, That is until I started calculus a few years later and found out that it is the first of a set of problems in summation known as infinite series. I was happy to have been able to discover it on my own though. It gave me a clearer understanding of how numbers work and an advantage over others who never used infinite series.
He starts explaining how he does math so quickly at 19:08
Looking at this math wizard I remembered of Shakuntala Devi from India.
really no words, simply wow!
why doesn't this video have more views?
Adel ben hamadi No, just face it. We are nerds. LOL
It is the EXACT same as the TED-talk version. He didn't change the manus. Even the same body language. So, go to the TED-talk version which have +800'000 views and add it with the views on this, and it will be over a million views.
... So ain't that bad.
why arent all people in the world rich?
My word , hes good , i love maths but i always stuggle but eventually ill get there
This is time well spent. This is just amazing..... I want his brain too. That would help me a lot!! :D
Very nice, handy tricks and impressive demonstrations! Some of the tricks can be proven quite easily using multiplication of abstract binomial representations with some simple factoring. Those proofs, I think, put the methods on solid ground and are pretty easy to follow. Providing at least one trick proof could make this a more exciting and meaningful presentation for those in the audience who can follow such a simple proof.
There is actually a recognition of pattern to determine the day of the week of a date. The way I do it (without any outside help) goes like this: 1997 has the first Sunday as 5 January. Then I run down all the first Sundays: 5, 2, (nonleap year) 2, 6... If the 6 April is Sunday, then the 29th MUST be a Tuesday. The only math involved is where in the pattern one is (which repeats every 28 years between 1900 and 2100) and it repeats every 400 years. This is the only ability I can match now.
I figured out all these tricks for arithmetic after learning algebra. Most people learn algebra and forget that it is basically generalized arithmetic. When you learn how to manipulate algebraic expressions and equations, you can do the same with numerical expressions.
Really superb. this method follows the principles of TRACHTENBERG , I suppose
i'm very intrested to watch it is amazing....!!!!!!!!
words can't express how jaw-droppingly cool that was!
Amazing professor
Is there any good methods to calculate high exponents? What Arthur Benjamin does is really just squaring, 3 to even 5-digit numbers squared. But how about 7^8 or something like that? Or lower, 6^7? Is there any efficient methods do calculate higher powers mentally?
That birthday grid was ... mind blowing!
wow! wow! wow! I know I've personally figured out some fast and easy ways of solving several math problems, but some things I see here has definitely made me go back to my elementary maths! Awesome! My Maths Society would love this! Not much of a magic for me, but at least, a wake up call!
Thanks for sharing this awesome vid! and by the way, what is the title of the books he talked about?
How can we get your vedios ?
Truly amazing. Seriously truly amazing.I would love to hear your opinion on how to solve our deficit. Your brilliance can be used many places.
@15:11 Allison is thinking... "imagine what this will fetch on eBay!"
I haven't watch it yet but I already think he is awesome : )
Incredibly talented AND entertaining.
I love this guy he's super smart and entertaining . I wish he was my math teacher lol
10:32 'did you leave out a 0, cause i think of nothing' LOL
awesome video. wow Claremont, CA who knew
never stop learning. ever.
@58:45 Did he say, "It might even be prime?"
Superb....Thank you.
Mr Benjamin is the greatest teacher of the world.
AMAZING guy!
Oh! That's fantastic!
Excellent....
this is mental math at it's best!
30:08 What a coincidence! I have that book!
Speechless....
What about leap years?
this is just wonderful
Mathematics is the Science of Problem Solving. Anyone who is good in Mathematics will be good in life.
The video is fantastic but the one I was most curious of was how he did the magic square and he didn't answer on that :(
Can someone help me !!! he said 43X43 simplify it become 46X4X10 = 1840 But my calculator tells me it is 1849 !!! Is this method not effective ??
Further evidence that we teachers need to update ourselves
how did he do that magical square?
it was even this video is a magic in itself thanks for sharing
20:13 i lold when he said we dont say TWOandFOURTY, cuz thats exactly how its pronounced in german ^^
Fascinating
very good
You said: "This is not mathematics. It is arithmetic."
Pure Genius!!!
Thank you very much for this explainations, I found them very interesting :)
This guy is amazing. He does almost the same show everywhere using exactly the same words and jokes....
Who is the best?? He or Tammet??
awesome
42 is the answer to the Ultimate Question of Life, the Universe, and Everything
A beautiful mind...
This is the same TED version e.e
this Vedic Indian maths makes wonder....great India
There is nothing 'Vedic' about using algebra in Math.
excelent!!!
Genius!
This was interesting.
awesomeness :-)
Ahh i see thks for the help
I'd say it's the language of logic, which simply happens to apply to the sciences. I say that since you can calculate things that aren't real, but are logical (which might sound like an oxymoron, but it isn't).
this is all maths tricks. don't get me wrong, they aren't easy to solve if you lack the talent for maths. but if you can add/multiply small numbers quickly you can do this :)
To anyone who might complain that his act is always exactly the same, that's because he couldn't manage it any other way. The less thought he has to put into the act itself, the more he has left over for all the calculations.
True, but it is knowledge of mathematics that makes the arithmetic more skillful.
the reason they never taught you these methods is because math at school shouldnt be about the calculating itself but the understanding of mathematical thinking, so if they would teach you those methods they would also have to provide the evidence that these methods actually always work , which is much harder than the methods themself
If so, 'I know that feel, bro.' LOL
"HURDUR, LEMME BRAG SOME"
I just realized this was one hour long.....
Approximation of course.
excellent
I was the same. But when you found a book or on internet your methods they ruin your day 39:10
Sorry for my bad English. :D
i am a math wizard.
Arithmetic is a branch of mathematics, but that does not make 'doing arithmetic' the same as 'doing mathematics'. Studying arithmetic would be doing maths, but that would be almost as tedious as memorising 100 digit numbers.
bravo........its a super brain........
33:10 I see those spheres. I am a mathematician.
Oh goodness...
Yes, and it's possible. The largest prime number we know of is like 2 to the 40,000,000th power.
Great!
I figured out how to do the magic square!
This is not mathematics. It is arithmetic.
two saturdays in a row what are the odds??!!??!! no seriously, what are the odds?
let him solve some symbolic calculations...
i love that man
Hmm got it too anxious to get the answer without continue the video
If he can figure out which 4 numbers is the most coming out in lottery that would be great....
that cannot be divided, Divisor can never be equal to 0
True that.
unbelievable
the last trick is very cool. but before he begins his calculation he already know the answer. the number would start with a 5 and end with a 9. if he knew that he probibly know the whole product of the calculation.
Unfortunately this was not the brightest audience. I felt they didn't appreciate what they were witness as much. He should've done this at a university for the students, would've been a riot!
Which in itself is basic algebra.
Would have to of asked him if he had ever tried to work out the Lottery Numbers.
I find this too complicated. Maybe it works for genius mathematical minds but not for everybody.
why does this guy get me soo interested in maths :D
Check youtube for numberphile, i sure you will find it very intresting
actually i was already following that! and it's awesome! :)
Because addition is to mainstream.