Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile

James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture.
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NUMBERPHILE

Videos by Brady Haran
Editing and animation by Pete McPartlan

Correction of typo: 355/113 is Pi approximation, not 133

[marcsmerlin]

My favorite moment in this video is at around 9:49 when James refers to the Duffin-Schaeffer Conjecture and then qualifies that by saying "now a theorem." Bravo, James!

[adamdzavoronok]

Congratulations to James Maynard for being awarded with Fields Medal in 2022 such a brilliant mathematician

[eloleelole]

Just wonderful - letting Maynard speak 20 minutes about his recent work. He is quite adept at explaining his work in simple terms!

[alephnull]

We need more James Maynard. The guy's a genius and nice to listen to on top of that.

[Bayar-oerj]

Numberphile is my inspiration of my dream being mathematician...
Math and physics is my life.

[thestemgamer]

He just won a fields medal for this amazing work. Amazing.

[Bibibosh]

I really like the way he explains things.

He makes sure you are thinking with him and assures us of that!

It’s grandtastic!!

[subjectline]

He's so pleasant to listen to and so happy in his work.

[stumccabe]

Isn't it great that this genuine genius with a mind the size of a planet, is also a really nice guy with no ego?

[mr.johnson]

You can almost imagine his desk chair being a large bouncy ball with how he bobs up and down when he's excited. It's adorable.

[yairalkon]

I'd love to see more in-depth interviews like this one! Great video and very thought provoking.
The fact that such definite structures exist in such abstract and general cases absolutely blows my mind!

[recklessroges]

Even a genius like James has the impostor syndrome of "oh that doesn't count, because I'm cheating." No James, you aren't cheating, you are winning! Well done.

[abracadabra]

I love how he bounces around all happy when he's explaining things

[davidgillies]

When almost all the books on his bookshelves are Springer-Verlag graduate texts you know you're dealing with someone pretty hardcore.

[andrewgoff]

Now if only we could approximate irrational comments.

[bruinflight]

The last 3 minutes of this interview are absolutely delightful! Wow, what a rush it must be to have such breakthroughs! Thank you for sharing: the inspiration is palpable!

[hamiltonianpathondodecahed]

at 3:44 the visuals are misleading as π < 22/7 but on the number-line, it is other way around

[notsecure]

Such a likable fellow! And Brady- you did a fantastic job interviewing him. You really made him shine.

[CatholicSatan]

Cracking stuff... and in a much smaller way when I'm writing software and I know the result isn't right, I find myself thinking, in the shower or on a walk to the supermarket, "Ah! I should try this or that." The other day, I woke up suddenly at 5am with the solution to a problem (which on hindsight was obvious) - but did write a note - and fell into a lovely deep sleep for a couple of hours after.

[ragnkja]

At least one out of e+pi and e•pi is transcendental, but we can’t even prove which one.