🔑 Magic Internet Math Episode 4: Why the Inverse Problem Works Bitcoin's security rests on the inverse problem — but why does an inverse even EXIST? This isn't "the math is hard." This is PROOF that every non-zero element in a finite field 𝔽ₚ has a multiplicative inverse. We cover: Euclidean Algorithm (computing inverses) Fermat's Little Theorem (a^(p-1) ≡ 1 mod p) Why secp256k1 uses a prime field Group & field axioms (closure, identity, inverse) LibSecP implementation 92 minutes with @Rob Hamilton 📖 Study guide: ecc-study-guide.magicinternetmath.com/guide.pdf 🎧 Listen: fountain.fm/show/2gdYQCIV0eZEuYOW3nGJ Bitcoin isn't probably secure. It's PROVABLY secure. ⚡ Value-enabled.

I loved this conversation! View quoted note →

Got a new bot - gonna be dropping math knowledge on Nostr. I’m gonna fix the LaTeX formatting. Follow it and visit magicinternetmath.com to start leveling up View quoted note →

I just mass-loaded 96 math courses onto Nostr. High school algebra through elliptic curve cryptography. Euclid's Elements through FROST threshold signatures. Austrian economics through stochastic calculus. 5,000+ interactive sections. All free. All for Bitcoiners. Because if you can't explain why Bitcoin uses a 256-bit curve, you don't understand the security model. If you can't follow a Schnorr signature derivation, you're trusting someone else's math. And if you're trusting someone else's math, you're a second-class citizen in Bitcoin. The bot drops a daily lesson — definitions, theorems, worked examples, the whole thing. Follow it. Zap it when it teaches you something. Mute it if you'd rather stay ignorant. npub17pnjaleu0wwwmjpk3ns74xwv8njwlu3jgqc6g5d0ef4z890t8c3s5w0e55

https://fountain.fm/episode/HGoXljfsj1VtapZ3ruVA @Bassload comes back on the chain and gives us his energy. Great times between band mates!

Ever wonder about the math behind your Nostr keys? It's the same elliptic curve cryptography that secures Bitcoin. I made a 13-episode video series that builds the whole thing from scratch — modular arithmetic → finite fields → elliptic curves → secp256k1 → ECDSA → Schnorr → MuSig2. Every concept has interactive visualizations. No prerequisites beyond basic arithmetic. Your Nostr private key is a 256-bit scalar. Your public key is that scalar multiplied by a generator point on the secp256k1 curve. After watching this series, you'll understand exactly what that means and why it works. Free on YouTube: https://www.youtube.com/playlist?list=PLaAxhhFb7OVElRJ8Su_C2Xu2uA7WiBKKz Interactive course:

Magic Internet Math

Interactive courses covering the mathematics that powers modern technology, from foundational algebra to the cryptography securing the internet.

#bitcoin #cryptography #education #ellipticcurves #secp256k1 #math #nostr

Learn the Math of Elliptic Curve Cryptography https://www.youtube.com/playlist?list=PLaAxhhFb7OVElRJ8Su_C2Xu2uA7WiBKKz This is a 13-part series that starts from absolute zero (what is modular arithmetic?) and builds all the way to MuSig2 multi-signatures — the same elliptic curve cryptography that secures every Bitcoin transaction. Every episode has interactive visualizations so you can see point addition, scalar multiplication, and signature verification happen in real time on the secp256k1 curve. Topics covered: - Modular arithmetic and finite fields - Elliptic curves and the group law - Point addition and scalar multiplication - The secp256k1 curve and its parameters - Private keys, public keys, and Bitcoin addresses - ECDSA signatures (signing and verification) - Schnorr signatures - MuSig2 multi-signatures No prerequisites — if you can add and multiply, you can follow along. Built this because when I was learning Bitcoin's cryptography, I couldn't find anything that was both rigorous and visual. The existing resources were either hand-wavy ("it's one-way math, trust us") or dense academic papers. This tries to be the thing in between. Free to watch. If you want to support the project:

Magic Internet Math

Interactive courses covering the mathematics that powers modern technology, from foundational algebra to the cryptography securing the internet.

https://stacker.news/items/1440020



Magic Internet Math • Elliptic Curve Cryptography: A Self-Study Guide • Listen on Fountain

The Study guide: https://ecc-study-guide.magicinternetmath.com/guide.pdf In this episode of Magic Internet Math, Rob and Fundamentals discuss the m...

Sovereignty begins here. Take your first steps towards understanding Bitcoin’s cryptography. @Rob Hamilton and I make it as easy as it can be. We fully flesh out what we can in discussion and i provide a freely available text in the show notes.

Plebs: We’re sick because they told us to eat horrible food Pioneers: We’re sick because we’re being convinced satanic pedophile rulers are morally just The food problem is a psyop to occupy morons into thinking fixing that will change anything.

https://fountain.fm/episode/C7XB8B65wzRidj0P9A1h I’ve decided to make my Men of Mathematics Series freely available to both subscribers and non subscribers. Video will be available to subscribers only. Join my Pioneers Club by subscribing on Fountain. I promise it will be well worth it.

Fountain: Podcasts & Music

Back on the Chain • First Tubing with Richard "Greasy Fizeek" Greaser • Listen on Fountain

In this wide-ranging conversation, I welcome credentialed journalist and musician Richard Greaser for an unfiltered exploration of culture, media, ...

We have a credentialed journalist for the second week in a row. @Richard Greaser sits in and jams with us.

https://fountain.fm/episode/UYDy7WKWOtIs9MONgzgp @Rob Hamilton and I talk math, God, blackjack, homeschooling, and why it’s Important to be a strong learner

Magic Internet Math

Interactive courses covering the mathematics that powers modern technology, from foundational algebra to the cryptography securing the internet.

New domain name implemented. We are officially up and running!

https://fountain.fm/episode/xg9tn3pURCwJYwPNE45M We continue to grow our phriend group. Had a great convo with Mark Goodwin - writer, journalist, and musician. We’re building steam towards the Sphere and the conference in April! If you want to come to the show with us on 4/30 - reach out

Fountain: Podcasts & Music

SOUND COFFEE • SC 12 // REBELLIOUS VIBES • Listen on Fountain

Burns’ npub: npub1x0hv6t304cclxmqtmwzr6smpzsnwuhqz8zylqsqurw84qz89j6yssue8wzKeith’s npub: npub1htzyjm7q6540hz8emsrvdtasdvv3vrjkskclq9hl39g8336p...

I Relisten to all of my podcasts - I particularly enjoyed this conversation- a highly unusual and super high signal convo between Bitcoin buds @Otis Bitmeyer @burns @Keith | BRANTA.PRO