LongFormMath's profile picture. Math prof. Author of long-form textbooks on proofs (https://amzn.to/3oZrMNu), real analysis (http://amzn.to/2kjvMwh) & math history (https://a.co/d/8pLSo0C).

Jay Cummings

@LongFormMath

Math prof. Author of long-form textbooks on proofs (https://amzn.to/3oZrMNu), real analysis (http://amzn.to/2kjvMwh) & math history (https://a.co/d/8pLSo0C).

Vastgezet

🧵 My 3rd book is now out! It is on the fascinating history of math. How did people throughout history think about math?What problems did they care about? How did they express them? How were they solved? This book includes a lot of historical math. a.co/d/gsoNKxP


Two of my students are in a band and they made a cover of my math history song. I love it so much. Check it out: youtube.com/watch?v=Regahz…

LongFormMath's tweet card. We're Not the First to Inquire

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We're Not the First to Inquire


I might have a new favorite proof that the harmonic series diverges. It's just so beautiful.

LongFormMath's tweet image. I might have a new favorite proof that the harmonic series diverges. It's just so beautiful.

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chesscom's tweet image.

In the age of AI writing, it is more important than ever to emphasize this to the next generation. Writing is not a simple record of what you think---it is one of the best ways to learn. And it is a means to uncover what you didn't know you believed.

LongFormMath's tweet image. In the age of AI writing, it is more important than ever to emphasize this to the next generation. Writing is not a  simple record of what you think---it is one of the best ways to learn. And it is a means to uncover what you didn't know you believed.

Jay Cummings heeft deze post opnieuw geplaatst

Showed my kids their first two Counterexamples in Analysis. Brains broken. Me happy.

AgustinLebron3's tweet image. Showed my kids their first two Counterexamples in Analysis. Brains broken.

Me happy.

ICYMI: I wrote a math history song. (And I think it's actually pretty damn good!) You can watch the music video on YouTube: youtube.com/watch?v=0KrT_V… Or listen on Spotify: open.spotify.com/album/3MEbKXC5…


Little news: I wrote a song! It is a math history version of Billy Joel's "We Didn't Start the Fire." I then got Tom Bedlam to perform it, and I turned that into a music video. Check it out! I hope you enjoy it! youtube.com/watch?v=0KrT_V…

LongFormMath's tweet card. We Weren't The First To Inquire (Official Music Video)

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We Weren't The First To Inquire (Official Music Video)


My latest YouTube video discusses why we prove things in math. Check it out! (And subscribe! I have a math music video that I plan to post next Wednesday that I think you will enjoy! 😃) youtube.com/watch?v=2QcJB-…

LongFormMath's tweet card. Why Do We Prove Things In Math?

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Why Do We Prove Things In Math?


LongFormMath's tweet image.

what other techs already reached their peak form?

kirawontmiss's tweet image. what other techs already reached their peak form?


I am starting a sequence of videos on my YouTube channel in which I will cover the main content of my Proofs book. In the first video, I argue that learning proofs amounts to a "phase change" in your math eduction. Please check it out and subscribe! youtube.com/watch?v=HbUagv…

LongFormMath's tweet card. Welcome to "Phase 2" Math

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Welcome to "Phase 2" Math


I write "long-form math" books. A few years ago I thought of the phrase "Long-Form Merch" and thought, "well, now I have to do it." I'll add more over time, but in case you want some fun math-based merch, you can check it out my Etsy store here: etsy.com/shop/LongFormM…

LongFormMath's tweet image. I write "long-form math" books. A few years ago I thought of the phrase "Long-Form Merch" and thought, "well, now I have to do it."

I'll add more over time, but in case you want some fun math-based merch, you can check it out my Etsy store here:
etsy.com/shop/LongFormM…
LongFormMath's tweet image. I write "long-form math" books. A few years ago I thought of the phrase "Long-Form Merch" and thought, "well, now I have to do it."

I'll add more over time, but in case you want some fun math-based merch, you can check it out my Etsy store here:
etsy.com/shop/LongFormM…
LongFormMath's tweet image. I write "long-form math" books. A few years ago I thought of the phrase "Long-Form Merch" and thought, "well, now I have to do it."

I'll add more over time, but in case you want some fun math-based merch, you can check it out my Etsy store here:
etsy.com/shop/LongFormM…
LongFormMath's tweet image. I write "long-form math" books. A few years ago I thought of the phrase "Long-Form Merch" and thought, "well, now I have to do it."

I'll add more over time, but in case you want some fun math-based merch, you can check it out my Etsy store here:
etsy.com/shop/LongFormM…

Being a dad is amazing. 10/10 would recommend. Happy Father’s Day to all the dads out there!


Going to make some YouTube videos soon. Today I worked on my best Grant Sanderson impression.


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