i hope math teachers will always tell their students the "why" rather than letting the students to memorise things. I wish i grew up with this videos on youtube.

mathematics is not just solving for x, its also figuring out y. lol. good one!

He enjoyed himself while explaining this... Amazing person

This guy is like the Bob Ross of Math, so full of joy for what he does

2, 3, 5, 8 WHO DO WE APPRECIATE?

Man I swear Arthur Benjamin is just a bundle of joyfulness and maths, what a guy

This is one example of a Ted Talk which just stops. It should have gone on for at least another hour!

I wish I had this guy as my math teacher. He actually makes it enjoyable and interesting. :)

I am not the biggest fan of math, mostly because my brain just cant comprehend it, but i couldn't stop smiling throughout this video. I knew maths could be beautiful, but it's so rare i can comprehend its beauty.

It's not the fact that teachers can't make math exciting. It's just that math teachers aren't trained to think like mathematicians. Even with a math degree, I can honestly say that I did not realize why adding the squares of Fibonacci numbers resulted in 8x13. It is a beautiful connection but it is a very obscure one that only classically trained mathematicians can see. You can't expect a regular math teacher to generate this kind of material for students because it takes years of mathematical dedication to get to that level.

This makes sense to me! I remember back in high school I'm always wondering the "why's" for the formula. I mean, math teachers force us to memorize the formula but doesn't explain to us why it was formed, what significance does it has, on what real life scenario we can apply it to.

His excitement is so contagious!!! It's amazing...

Why on earth is this only 6.25 min?! I was really getting into it then it ended! Aren’t ted talks usually 15 min?! So sad over here.

People don't realize that we, as students must "Learn how to Learn" first!

In the introduction to his book, Fibonacci (c. 13th century CE) makes the following revelations 1) "I am the son of an official working in Bugia, Algeria". 2) There was a colony of Indian Merchants in that city. 3) "It was there that I was introduced to Indian Mathematics". Fibonacci further says- " I loved Indian Mathematics to such an extent above all others that I completely devoted myself to it" "I was also introduced to Greek, Arabic & Egyptian Math" "But I found ALL of them, EVEN Pythagoras, to be erroneous compared to Indian Mathematics" Fibonacci further says: "For this reason, basing my book COMPLETELY on Indian methods and applying myself with greatest attention to it, but not without adding something of my own thought, I forced myself to compose this book. I demonstrated everything with proof" Finally, Fibonacci says: " In my book, I have published the doctrine of Mathematics completely according to the Method of Indians. I have COMPLETELY adopted the (Mathematical) Method of Indians because it is the MOST effective" Thus, in his book, Fibonacci does NOT refer to #Fibonacci Series as "Fibonacci Series" Rather, he simply calls it "Indian Series". Unlike many other Europeans, Fibonacci was NOT a plagiarist. He clearly mentioned his source and acknowledged his credit to ancient Indians. Fibonacci's introduction makes it clear that he considered himself "Indian Mathematician" insomuch as he adhered to Indian Mathematical Methodology and contributed to it. The real name of the so called "Fibonacci Series" is "Indian Series". This comes from the horse's mouth ! So far as the so called "Fibonacci Series" is concerned, Fibonacci was only TRANSLATING the Sutras of Pingala (c.3rd century CE) and his commentator Virahanka who derived "Fibonacci Series" several hundreds of years before Fibonacci was even born . I was very shocked reading Fibonacci's introduction. Why are these facts kept concealed? A more important question. Why should it be called 'Fibonacci series' when Fibonacci himself does not claim to have discovered it and simply acknowledges Indian Mathematics as his source? The precepts of Pythagoras and Euclid were forgotten in early middle ages and revived only later. Yet, the credit always goes to Pythagoras and Euclid. Never to the later day Mathematicians who revived their works. Why is Pingala never extended the same courtesy? I wonder why! Fibonacci was NOT a European Mathematician, except by flesh and blood. He explicitly rejected the European methodology of Mathematics. He denounced even the path of Pythagoras as "erroneous". He followed footsteps of exemplary Vaidika Mathematicians like Pingala and Virahanka Fibonacci does not describe his book as "European Mathematics". He explicitly describes his book as " treatise on Indian Mathematical methods". As such, it is hard to even consider him a "European Mathematician". He followed the footsteps of Vaidika Sanskritic Mathematicians Reference and the source i have used : English translation of introduction to Fibonacci's book "Liber Abaci". Published in the scholarly journal Reti Medievali Rivista by Giuseppe Germano (2013)

Fibonacci said in his book that he learned the fibonacci from indian text by hechandra(he also learned from old indian text)

"Mathematics is the language of the universe." - Galileo

at 3:20 he missed a pattern that arises too: 6+15 = 21; 15+40 = 55; 40+104 = 144; all these are fibonacci numbers separated by 2 distances on the series: 21,34,55,89,144...

We need more teachers with the passion of this man!

Fibonacci was also humble to acknowledge that most important concepts in his Liber Abaci were those which were followed by Indians since ages before him. He thus called it 'Modus Indorum'. Also, the concept of Fibonacci numbers itself is an application of Meru Prastara(now know by many as Pascal's triangle), which was given by Pingalacharya of India (dated before 200BC). So, it is essentially an Indian knowledge which was introduced to Europe by Fibonacci. Love for math, India and Fibonacci..

I have total respect for people who enjoy, understand and just get numbers and how they work. If only I was one of them...perhaps in another life I'll be able to get it :(

Fibonacci number is found in a textbook written by an ancient Indian saint Pingala(200 BC). and it's discovery is said to be much more older than that text and is known as Maatra Meru in Sanskrit. while Leonardo of Pisa(Fibonacci) came out with his book" Liber Abachi" in the year 1202.

Brilliant talk!!! And Arthur is so true. Knowing math it is so easy to forget how to get across that "why?" to our listeners (if we have any left).

It's the interpretation of mathematical results that often gets overlooked. A lot of connections may be found after interpretation of math results....For example the connection between Golden ratio and Fibonacci numbers was beautifully put.....Good talk👍

I think I could have loved math as a child in school, but my relationship with math was controlled by fear and anxiety. This guy would have been a good teacher.

Fibs are used everyday in trading, and it's amazing how often price turns at the golden ratio (.618)

We need more inspiring and passionate people in the world like this man who see the beauty and enjoyment of the universe

One if my best TED talk videos I have ever watched

I would like to meet this guy for one evening and show him how I and a number of us look at the fibonacci sequence, what it can teach us and how it links to wondrous things... we all have it in us to look at numbers and find patterns. This presentation was very nicely done indeed and I trust it sparks interest in many people :) Great work.

This was such a fun Ted talk, I love how he made it easy to follow along. Fibonacci Sequence is one of the few Math I actually enjoy.

This was so good. Thank you. Your passion radiates from you, inspiring others to delight in this science.

I'm in love with the way he explained it and his way brought so much of fruit into my brain...though I was very bad at mathematics I hated it so much but slowly it's seeming to be like game now

I first got interested in maths about a year ago in 7th grade. During this 1 year I home schooled myself and realized how fun mathematics is. The different concepts, different equations, different difficulties. The more maths I did the more I grew towards it.

This Fibonacci joke is as bad as the last two you heard combined.

A sublime description about Fibonacci - as an artist, truely being touched by how the embedded series do all work well with both numerical and number theory. Love the description, thoughtful and fun. Thanks Arthur.

Inspiration is what you need if you want to teach effectively, as demonstrated right here. Bravo!

"Mathematics is not just solving for x, its also figuring out y" Loved this quote

I have always loved maths, and this is an awesome example of why.

The Fibonacci numbers were first described in *Indian mathematics* as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths.They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci.

00:12 same thing I kept asking my teacher

It's fun to learn from someone who seems to be having fun. Thank you!

Fibonacci numbers and their sequence first appeared in Indian mathematics as Matrameru, centuries before the Italian mathematician Fibonacci was even born.

He's one of the apt teacher to teach Mathematics, seeing his joyous nature. Respect sir.

Art is a wonderful colleague to have. He spreads the joy of mathematics in a fun and compelling way.

yo thanks Arthur, never heard of fibonacci growing up and this is fascinating. i failed calculus twice and barely passed my statistics. anything with numbers i get frustrated and then I get angry. Broke my knuckles few times when studying for statistics.. but this video man..ima take notes and show this to my 8 year old cousin and make sure he doesn't end up like me. thanks a million you saved a child.

I'm basically the only member in my family that loves to solve puzzles and appreciates mathematics. This video blew me away :D

1:44 In nature surprisingly often 5:45 Not have attention in school, but forget the application Mathematics is not just solving for X, It's also figuring out WHY.

one of the best yet! Thank you

1st time in history that I understood math! Omg! And it was so easy and fun. I like it! Never is to late to learn.

Just imagine if only ever math professor was as enthusiastic as this guy. Maybe 90% of people wouldn't hate math, how cool would that be...

Agradeço a tradutores que traduzem vídeos como esse

The Fibonacci Sequence is nature’s pattern and the trademark of a creator.

i got goosebumps... and i got this sincere smile i sometimes get while watching my favorite cartoons or tv shows... over a video about fibonacci numbers. thanks ted

This man has an infectious passion for math and it's always a good thing when the golden ratio is brought to our attention

The golden rotation!!

why math? because its THE universal language

Was an great inspirational​ speech for those who love math!!!

学生時代に見たかったなぁ。たった6分くらいなのにもっと知りたいと思わせてくれる。

Gyro wants to: Know your location

Thank You! Whenever I told a teacher I didn't understand, they would show me exactly what they did before but I didn't understand it, not because what the teacher was showing was not understandable but because I could never wrap my head as to how this got to this. lol

*The spin, Johnny, the spin*

The order in the universe is truly amazing! It’s as though it was guided that.

I need this full video

The original name of Fibonacci number is "matra meeru".... The original credit goes to pingala ancient hindu mathematician

This should happen in our schools... someday someone will learn this hopefully :)

Short and to the point !!!

Is there any other trader watching this video in 2021 and thinking once more "its just amazing how I use Fibo in my charts and so often the price movements reach its Fibo level"? Great video, great professor!

I imagined that forex could be so tasking, i kept coming back to these youtube videos for more information. This clip was so helpful.

This was first found by an Indian Mathematician and he failed to record in Books with his name ☺️

Awesome, we need teachers like u..

I would have done a lot better in math class as a kid if we would have considered Y creatively. Nice talk Arthur! I became fascinated in Fibonacci numbers in my 20s especially in music. It's been a life long passion ever since.

“Why do we learn mathematics?” So I can spin a steel ball

I really love Arthur's presentations. I am a trader in the currency and indices markets, Fibonacci is one of my main tools for the future projection of price and support and resistance of these markets and are extremely accurate. Amazing subject and one which should be taught more in the schools.

Beautiful, clear explanation

How many of us would be Math Wizards with teachers like this! Bravo! Awesome!

MINDBLOWING!! #Beautiful!

The sequence was initially observed in nature by Pingala, an Indian mathematician, who named it "Maatrameru." He was noted for setting the number of syllables in a metered poem (and others) using binary numerals. Around 200 BC, he also discovered and used the "Meru Prastarah" extensively, which is known today as "Pascal's Triangle."

Amazing! I enjoyed every minute

Excellent, you are never to old to learn!

I wish they'd have made mathematics fun like this back in 20 years ago, education was so much score-oriented that students just try to get enough to pass exams. sadly, what is used in practice is only basic calculations (probably to just check our payslips for correctness)

Interesting, this helped me get a better understanding of everything I was learning back in school but it did it within a blink of an eye really was some interesting piece of information that I can now use to crush Forex.

it's nice his passion for the numbers and patterns

I have enjoyed memorizing Fibonacci numbers. It helps you discover the many surprising consistencies within the sequence. My favorite is the fact that the sum of any two consecutive, squared Fibonacci numbers equals the number whose sequence number is the sum of the original two sequence numbers. This works for odd numbers only. To find even sequence numbers' figures, we have to skip a sequence number and subtract the squares, but the answer is still the number whose sequence number is the sum of the original two sequence numbers. I could only figure that out after learning a good chunk of the sequence. So we know (expect?), for example, that: 27,777,890,035,288^2 + 44,945,570,212,853^2 = 2,791,715,456,571,051,233,611,642,553. (66th FN^2 + 67th FN^2 = 133rd FN) or that: 27,777,890,035,288^2 - 10,610,209,857,723^2 = 659,034,621,586,630,041,982,498,215. (66th FN^2 - 64th FN^2 = 130th FN) Does anyone know of a proof for the above phenomena? I wrote these numbers from memory, I hope they are correct. The 133rd is as far as I have memorized. I am not a mathematician, unless you count seventh-grade-level math!

I liked the talk, but because of the rather short duration of the video, I got the idea that the speaker was just getting started, just gathering steam, right before leaving the stage. I guess what I'm saying is: as a fan of the golden ratio, I would have thoroughly enjoyed a bit more 'digging'.

Amazing person. I love the video.😍😍

Miracle of mathamatics,,!! Fine, Enlightened a lot,! Appreciated & Encouraged, Thanks to Arthur Benjamin & TED for uploading,,

Beautiful speech! Thanks!

Fibonacci Numbers is actually invented by Indian Mathematician Pingala 1000 years before Fibonacci.

i love this stuff but i just have to correct that the golden rectangle drawn at 4:05 was not in the wright order to make a spiral just saying but you still get a thumbs up

one of the best talk ever (there are infinity of them)

Arthur did a fabulous job explaining Fib!!!

3:32 He was expecting the crowd to say Fibonacci, but they didn't so he said it himself lol

these sequence were already in indian mathematics before fibonacci.

Fibonacci sequence is just wow concept and you have made it more interesting sir👍🏻 👍🏻

This 6 minute video of Fibonacci no is better than my last 12 yrs of school age learning about maths. I wish this guy would be my maths teacher,than I will never get bored

懐かしい…フィボナッチ数列だいすき

Fibonacci numbers came from a puzzle in the book 'Liber Abaci '. a single newly born pair of rabbits (one male, one female) are put in a field; rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits; rabbits never die and a mating pair always produces one new pair (one male, one female) every month from the second month on. The puzzle that Fibonacci posed was: how many pairs will there be in one year? so the puzzle starts with 1 pair(otherwise u can also take no pair as 0 ). so the Fibonacci series starts with 1,1,2,3,5.........so on. and we got the concept about Golden ratio from this series starting with 1..mathematics is the calculation based on the natural concept. don't take Fibonacci series only as calculation or series of numbers.

It's amazing numbers, I had already researched this numbers in our field , really it's wonderful series.

Wow, i need a full version of this. I thought that what Arthur Benjamin was saying was just the introduction.

Sir you are great....