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

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

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

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

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.

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.

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

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.

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

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

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

We need more teachers with the passion of this man!

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).

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

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...

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)

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👍

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.

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 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..

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

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.

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 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.

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.

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

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.

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.

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

One if my best TED talk videos I have ever watched

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

Fact is this Fibonacci series explained in *Sanskrit text* many years ago , when Leonard Fibonacci was born 😊

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

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

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.

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

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.

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

one of the best yet! Thank you

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

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

i was just scrolling around on youtube then i found this video!! This was such a nice explanation!!

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

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.

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

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

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

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

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...

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

Gyro wants to: Know your location

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.

why math? because its THE universal language

Agradeço a tradutores que traduzem vídeos como esse

I thought it would be more informative, but it turned out to be way more inspiring and fun that I expected.

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

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

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!

2:27 whats interesting is that for each number listed, you can express either it or its square as a 1 2 or 3 if zeros dont matter. You do this by taking the square, multiplying each of the numbers in the square until the units cannot be multiplied to create something larger. This would either be a whole number 1 through 9, or a number like 10 20 30 ect. Once you get to 5 for example, 25=2×5=10=1. For number 13^2=169 1×6×9=54, then 5×4=20=2 so its like a second derivative only with the multiplying of digits within the square...until you get to 21, but wait a minute, 21 itself can be expressed as a 2 or a one, so the previous number 169 with 2 of these derivatives is followed by one with no derivatives (or whatever you call them) which is interesting because 5, which is the only fibonacci number which in sequence=itself, is also the first time a 1,2, or 3 is not used in its original form

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)

6:07 Mathematics is not just solving for X It's also figuring out Y(WHY)?

If you combine the 84 primordial elements with our best known calendars, it forms a sequential labyrinth with four independent quadrants that follow the fibonacci sequence from the center. 4 directions 4 elements, ogdoad (8) , 12 , 20, 32 and 4 outside, image at timeskool...

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!

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

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

The sequence has been part of my passwords since high school.

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

*The spin, Johnny, the spin*

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.

I would like to see some explination on fractils they have made inprovements on antennas and show up in nature very frequently...

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.

MINDBLOWING!! #Beautiful!

00:12 same thing I kept asking my teacher

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.

This is very interesting ! I wanted to take math class again.

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

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.

I need this full video

Well explained! Thank you :)

The golden rotation and a green ball-shaped object in the middle of that thumbnail...coincidence? I think not

When you're a member of a neapolitan executioner family

Amazing! I enjoyed every minute

wonderfully explained. great animation. Its a need of time we should motivate younger ones to take math. There should be more such videos.

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

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

I often thought about different sums and i also thought about this numbers, but i have known about name of this. This video is very interesting! And some properties were surprise to me

simple, motivational and inspirational.. thanks

In school I feel like the teachers push us through units by giving us equations to memorize! That definitely takes application away. Teach me how to think please.

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

Шикарно, спасибо! Thank you so much 👏👏

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

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'.

The golden rotation!!

Beautiful speech! Thanks!

Beautiful, clear explanation

Amazing person. I love the video.😍😍