The Big Daddy of Infinite Integrals – Numberphile

From Numberphile. Tom Crawford explores the Gaussian Integral. More links & stuff in full description below ↓↓↓ More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://youtu.be/_HwKGncsGo0 Infinity on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWKORZ3UeTKlJiJa-89BBz3t Tom Crawford teaches at both the University of Oxford and the University of Cambridge. At Oxford he is the Public Engagement…

Can You Crack These 5 Number Series?

From Math Queen. In this math video I (Susanne) explain how to solve number series problems with five common examples often seen in aptitude tests, assessment exams, and logical reasoning questions. I show you step by step how to find the next number in each sequence using patterns and strategies. Perfect for practicing numerical reasoning,…

The Stein Paradox – Numberphile

From Numberphile. Professor Chris Oates discusses one of the most puzzling paradoxes in statistics. Extra footage: https://youtu.be/Z1-OH1ji8fU — More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk (episode supporter) Chris’ Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Chris Oates at Newcastle University: https://oates.work Patreon: http://www.patreon.com/numberphile Asteroid Bradyharan: https://www.youtube.com/watch?v=VLLrHQVMx64 Numberphile is supported by…

L’Hopital’s Rule Made Easy – Limits, Calculus

From Math Queen. In this math video I (Susanne) explain how to use L’Hôpital’s Rule to solve limits with 0/0 and ∞/∞ indeterminate forms. In this calculus tutorial, I walk you through three clear examples step by step. Perfect for anyone studying limits, derivatives, or preparing for AP Calculus or college math. Mathematics explained. 00:00…

This trumpet represents -2^x

From Standup Mathematician. Bambu Lab is running its 3rd anniversary campaign so now is a great time to check out 3D printing: https://shrsl.com/2p2du-2yn7-1cwx9 The original reddit r/mathpics post: https://www.reddit.com/r/mathpics/comments/cmuq8f/complex_values_of_the_negative_exponential_to/ You know I’m at the Edinburgh Fringe and on tour again! https://standupmaths.com/shows The NYC show is Sunday July 13 at The Bell House: https://www.ticketmaster.com/an-evening-of-unnecessary-detail-brooklyn-new-york-07-13-2025/event/300062B8E9924115 Here is…

Simplify as much as possible! – Fractions with variables

From Math Queen. In this math video I (Susanne) explain how to simplify fractional expressions. We find the domain of this expression and factor out, so that we can reduce the fraction to its simplest form. Mathematics explained. 00:00 Intro – Fraction 0:22 Domain 2:28 Simplify Fraction 8:55 See you later! *My German Math Channel:*…

Who wants to be a MILLIONAIRE – Math question

From Math Queen. In this math video I (Susanne) explain how to solve the $32,000 question from Who wants to be a Millionaire. We find the total amount of combinations to crack a lock and convert hours to seconds. Mathematics explained. 00:00 Intro – Quiz question 0:30 Combinations 2:25 Converting units 5:00 See you later!…

The 9-sided Enneahedron – Numberphile

From Numberphile. Christian Lawson-Perfect on creating the Herschel Enneahedron. See the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Christian at Newcastle University – https://www.staff.ncl.ac.uk/christian.perfect/ And mathstodon at https://mathstodon.xyz/@christianp Christian’s blog post about this – https://aperiodical.com/2013/10/an-enneahedron-for-herschel/ 3D printable enneahedron on thingiverse at https://www.thingiverse.com/thing:248603 More interesting…

The Mickey Mouse Problem – Find the area!

From Math Queen. In this math video I (Susanne) explain how to solve this maths problem by finding the area of the rectangle. We use the Pythagorean Theorem to find the length of the side. Mathematics explained. 00:00 Intro – Math problem 0:37 How to solve this problem 3:50 Pythagorean Theorem 6:47 See you later!…

I messed up?

From Math Queen. I love my community and ask you to help me today. I’m sharing the full story, the reactions, my thoughts and why this tiny phrase has turned intro something way bigger than I expected. *My German Math Channel:* ​⁠ @MathemaTrick *Find me on Instagram:* https://www.instagram.com/mathema_trick *Buy Me a Cup of Hot Chocolate?*…

ALL Rules for Fractions – Calculating

From Math Queen. In this math video I (Susanne) explain how to calculate fractions. We add, subtract, mulitply and divide fractions and look at all the rules for these calculations. Mathematics explained. 00:00 Intro – Fractions Rules 0:19 Add Fractions 3:04 Subtract Fractions 5:45 Multiply Fractions 6:58 Divide Fractions 8:34 See you later! *My German…

A simple equation that behaves weirdly – Numberphile

From Numberphile. Michael Magee explores a seemingly simple equation with hidden depths… And delves into Vieta jumping (or root flipping). More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk (episode supporter) Michael’s Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Michael Magee is based at Durham University: http://www.mmagee.net Videos about the legendary question…

Antiderivatives for Beginners – Calculus

From Math Queen. In this math video I (Susanne) explain how to find the antiderivatives of polynomial functions. We go through the examples of Calculus step by step and make the opposite of the differentiation. Mathematics explained. 00:00 Intro – Antiderivatives 0:17 Example 1 3:31 Example 2 6:00 Example 3 7:53 Example 4 11:57 See…

I’m going to calculate π on the Moon. Literally.

From Standup Mathematician. Support the mission, become a Mathstronaut and get you own bit of Lunar Pi here: https://www.kickstarter.com/projects/standupmaths/moon-pi-were-going-to-calculate-on-the-moon For more details, and the teacher sign-up, head on over to https://pi.space/ Thanks to the great people at Astrobotic Technology. Here is the latest news about the Griffin-1 mission: https://www.astrobotic.com/astrolabs-flip-rover-joins-astrobotics-griffin-1-to-the-moon/ Yes, I thought of the joke…

Completing the Square – Standard Form to Vertex Form

From Math Queen. In this math video I (Susanne) explain how to convert the quadratic function from the standard form to the vertex form using the Completing the Square Method. Mathematics explained. 00:00 Intro – Completing the Square 0:35 Example 1 6:56 Example 2 12:52 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find…

Can you solve this Geometry Problem?

From Math Queen. In this math video I (Susanne) explain how to solve the geometry puzzle. We use the Pythagorean Theorem in the right triangle to find the length of the radius of the quarter circle. Mathematics explained. 00:00 Intro – Math puzzle 0:16 Solution 2:55 Pythagorean Theorem 5:50 See you later! *My German Math…

The Sigma Notation Explained – Evaluate Summation

From Math Queen. In this math video I (Susanne) explain how to evaluate sums with the Sigma notation. We write out what is meant by the summation symbol. Mathematics explained. 00:00 Intro – Sigma Notation 0:15 Example 1 3:26 Example 2 5:23 Example 3 7:00 Example 4 8:28 Example 5 9:26 Example 6 11:05 Example…

Simplifying Square Roots – Step by Step

From Math Queen. In this math video I (Susanne) explain how to partially simplify square roots. Partially simplifying a square root involves rewriting it in a form where a perfect square factor has been extracted from inside the radical. This results in a simplified expression with a coefficient outside the radical and a smaller number…

Math Puzzle – Can you find the area?

From Math Queen. In this math video I (Susanne) explain how to find the area of the rectangle. We calculate the lengths of the sides and solve this puzzle using equations. Mathematics explained. 00:00 Intro – Math Puzzle 0:55 Rectangles 4:01 Finding a and b 7:17 See you later! *My German Math Channel:* ​⁠ @MathemaTrick…

New maths discoveries! All announced at once!

From Standup Mathematician. Read the Google DeepMind paper about AlphaEvolve here: https://storage.googleapis.com/deepmind-media/DeepMind.com/Blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms/AlphaEvolve.pdf And this is their blog post about the findings: https://deepmind.google/discover/blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms and if you really want to get into the details, this Collab should be live soon: https://colab.research.google.com/github/google-deepmind/alphaevolve_results/blob/master/mathematical_results.ipynb Erich Friedman’s Packing Center: https://erich-friedman.github.io/packing/index.html This is the Terence Tao video I mentioned: https://youtu.be/cyyR7j2ChCI?si=-aMVZ7bigZRtLlFw Huge thanks…

Summer of Math Exposition #4 | Teachers, I’d love to hear from you

From 3Blue1Brown. Make a math explainer, get feedback, and receive prizes: https://some.3b1b.co Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. —————— These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim…

We can fix UK currency with a £1.75 coin

From Standup Mathematician. Check out Bambu Lab printers here: https://shrsl.com/2p2du-2yn7-1cwx9 #bambulab #bambulabA1 #makerworld #bambustudio #bambulabp1s #bambulabX1c #bambulabs #3Dprinting Here are the print files for Andreas Müller’s Dodeclace – the Dodecahedron necklace. https://makerworld.com/en/models/1300677-dodeclace-the-dodecahedron-necklace#profileId-1332937 And Adam Luter’s design for Industrious Dice. https://www.printables.com/model/1112817-rhombic-tricontahedron-industrious-15-sided-dice (More about the maths here: https://mathenchant.wordpress.com/2024/10/17/industrious-dice/ ) Huge thanks to Adam Townsend for all his…

Cardioids in Coffee Cups – Numberphile

From Numberphile. Featuring Ben Sparks… Check out the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Footnote 1: https://youtu.be/8tqGQ22nnTA Footnote 2: https://youtu.be/tKA7TqhBhnQ Patreon extra: https://www.patreon.com/posts/126871802 SparksMaths accompanying video: https://youtu.be/tV4zlEpd7lM Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane…

The Tea Lady Experiment – Numberphile

From Numberphile. Po-Ling Loh discusses hypothesis testing and a famous experiment involving cups of tea. More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk Professor Loh’s Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Our podcast with Professor Loh: https://www.youtube.com/watch?v=XCZIYtMi5s4 Professor Loh’s webpage at the University of Cambridge: https://www.dpmms.cam.ac.uk/person/pll28 Patreon: http://www.patreon.com/numberphile Numberphile is…

The World’s LONGEST Klein Bottle – Numberphile

From Numberphile. Cliff Stoll and Lucas Clarke stretch a Klein Bottle to record lengths. More links & stuff in full description below ↓↓↓ In memory of Cliff’s wife, Pat. The movie poster: https://www.patreon.com/posts/126424202 (for Patrons) More videos on our Klein Bottle playlist: http://bit.ly/KleinBottles Cliff Stoll playlist: http://bit.ly/Cliff_Videos Lucas Clarke blows glass at Simon Fraser University:…

Explaining the Trump Tariff Equation

From Standup Mathematician. Read the equation details for yourself: https://ustr.gov/issue-areas/reciprocal-tariff-calculations Full list of countries and their 2024 import/export values: https://ustr.gov/countries-regions Footage of the Trump announcement from Liberation Day is from the PBS live broadcast. https://www.youtube.com/watch?v=oIDN0Yf8Z28&ab_channel=PBSNewsHour Presidential debate footage from ABC news. https://www.youtube.com/watch?v=4dOgWZsDB6Q&ab_channel=ABCNews NZ-USA import and export data from here: https://tradingeconomics.com/united-states/imports/new-zealand https://tradingeconomics.com/united-states/exports/new-zealand The Impact of the…

The Hyper Moser (and other Mega Numbers) – Numberphile

From Numberphile. Tony Padilla explores the Mega and Moser. Check out the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Extra video from this interview on Numberphile2: https://youtu.be/ADwK4BgwzP8 Big numbers playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI Graham’s Number playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKZEG7KVg6HfdN2uWFLIB5q Tony Padilla is a professor at the University of…

We calculated pi with colliding blocks

From Standup Mathematician. Happy Pi Day 2025 everyone! Check out Grant’s new 3blue1brown video: https://youtu.be/6dTyOl1fmDo?si=k0az9B4pEOnRXbIh Oh look, it’s Steve’s excellent channel: https://www.youtube.com/stevemould Sign up for future pi-by-hand videos: https://forms.gle/w44THpNJ3jWUPqHy6 Massive thanks to Hugh Hunt and everyone in the University of Cambridge Department of Engineering, particularly the legends in the workshop. https://www.eng.cam.ac.uk/profiles/hemh1 Huge thanks to my…

Mathematicians finally find the infinite card game.

From Standup Mathematician. More details about Jane Street’s AMP: https://jane-st.co/SUM-AMP25 The full puzzle is below. Support me on Patreon and join in whatever thing I do next. https://www.patreon.com/standupmaths Please help me thank Mithuna for enduring all of that. Go check out her excellent physics channel: https://www.youtube.com/@LookingGlassUniverse Here is the main paper: A Non-Terminating Game of…

A 1.58-Dimensional Object – Numberphile

From Numberphile. Featuring Ben Sparks on all sorts of fractals, Sierpiński triangles, and other amazing stuff including imaginary cubes… Extra from this interview at https://youtu.be/Yz06NW6DwsE — More links & stuff in full description below ↓↓↓ Some bonus stuff from this video just for Patrons: https://www.patreon.com/posts/123766224 Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist In…

How to measure the universe | The Cosmic Distance Ladder Part 2

From 3Blue1Brown. How we know the distances to the planets, stars, and faraway galaxies. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support FAQ with added details and corrections: https://terrytao.wordpress.com/2025/02/13/cosmic-distance-ladder-video-with-grant-sanderson-3blue1brown-commentary-and-corrections/ An equally valuable form of support is to simply share the videos. Terry and his collaborator Tanya have an Instagram about…

How Did Water Solve the 1800-Year-Old Talmudic Bankruptcy Problem?

From Mathologer. Today we are solving an ancient bankruptcy puzzle from the Talmud using the principle of communicating vessels. A very nice visual way of making sense of an otherwise tricky problem. "Game theoretic analysis of a bankruptcy problem from the Talmud" by Robert J Aumann and Michael Maschler https://www.sciencedirect.com/science/article/pii/0022053185901024 " ‘Hydraulic’ rationing" by Marek…

Can I 3D print a minimal infinite surface?

From Standup Mathematician. Check out the fantastic range of Bambu Labs 3D printers: https://bit.ly/SUM-bambu #bambulab #bambulabA1 #bambulabp1s #bambulabs Dan Piker on Mathstodon: https://mathstodon.xyz/@Danpiker/112858419960150896 Print file of Dan’s gyroid. It is a snug fit, maybe add a few extra percent. From: https://mathstodon.xyz/@Danpiker/112859215840044255 Previous pencil video: Costa surface print file I used by osj1961 (Joe Fields) https://www.thingiverse.com/thing:2882581…

A Magic Square Breakthrough – Numberphile

From Numberphile. Matt Parker is back with Multi-Magic Squares and news of a mathematical breakthrough. Extra footage and Matt’s warning is at: https://youtu.be/2Twa-z_WPE4 — More links & stuff in full description below ↓↓↓ Original Parker Square video: https://youtu.be/aOT_bG-vWyg More Parker Square stuff: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKcowaX3-U4lSRUnX5E1eGw Send your Parker Prize submissions to: parkersquareprize@standupmaths.com Get your signed copy of…

Shakespeare, Numbers, and Chronograms – Numberphile

From Numberphile. Rob Eastaway looks at numbers, quirks, and codes (plus some conspiracy theories) in William Shakespeare’s First Folio. More links & stuff in full description below ↓↓↓ Patreon: http://www.patreon.com/numberphile Including some interesting historical stuff about the use of numbers in Shakespeare’s plays, then some slightly wild conspiracy theories about Francis Bacon and codes in…

I walked the length of a state (ish)

From Standup Mathematician. Sorry everyone: STEMcon was just cancelled by the organisers. I’m gutted, and sorry we can’t hang out on the ocean. Boundary Stones of the District of Columbia https://boundarystones.org/ Rectangular States and Kinky Borders https://mathtourist.blogspot.com/2007/08/rectangular-states-and-kinky-borders.html?m=1 "Chart showing the original boundary milestones of the District of Columbia." Fred E. Woodward, 1906. Geography and Map…