Breaking Math Podcast

Breaking Math is a podcast that aims to make math accessible to everyone, and make it enjoyable. Every other week, topics such as chaos theory, forbidden formulas, and more will be covered in detail. If you have 45 or so minutes to spare, you're almost guaranteed to learn something new! *See our new math and science youtube show called "Turing Rabbit Holes" at ! The Breaking Math Podcast team has teamed up with Particle Physicist and Science Fiction Author Dr. Alex Alaniz to deliver a show about science and society. Subscribe and never miss an episode! Support this podcast:

Eine durchschnittliche Folge dieses Podcasts dauert 41m. Bisher sind 86 Folge(n) erschienen. Dies ist ein zweiwöchentlich erscheinender Podcast.

Gesamtlänge aller Episoden: 2 days 9 hours 49 minutes


RR38: The Great Stratagem Heist (Game Theory: Iterated Elimination of Dominated Strategies)

This is a rerun of one of our favorite episodes while we change our studio around.

Game theory is all about decision-making and how it is impacted by choice of strategy, and a strategy is a decision that is influenced not only by the choice of the decision-maker, but one or more similar decision makers. This episode will give an idea of the type of problem-solving that is used in game theory...


 2021-05-23  33m

61: Look at this Graph! (Graph Theory)

In mathematics, nature is a constant driving inspiration; mathematicians are part of nature, so this is natural. A huge part of nature is the idea of things like networks. These are represented by mathematical objects called 'graphs'. Graphs allow us to describe a huge variety of things, such as: the food chain, lineage, plumbing networks, electrical grids, and even friendships...


 2021-04-26  30m

P9: Give or Take (Back-of-the-Envelope Estimates / Fermi Problems)

How many piano tuners are there in New York City? How much cheese is there in Delaware? And how can you find out? All of this and more on this problem-episode of Breaking Math.

This episode distributed under a Creative Commons Attribution-ShareAlike-Noncommercial 4.0 International License. For more information, visit

Featuring theme song and outro by Elliot Smith of Albuquerque...


 2021-04-19  31m

60: HAMILTON! [But Not the Musical] (Quaternions)

i^2 = j^2 = k^2 = ijk = -1. This deceptively simple formula, discovered by Irish mathematician William Rowan Hamilton in 1843, led to a revolution in the way 19th century mathematicians and scientists thought about vectors and rotation. This formula, which extends the complex numbers, allows us to talk about certain three-dimensional problems with more ease...


 2021-04-03  29m

59: A Good Source of Fibers (Fiber Bundles)

Mathematics is full of all sorts of objects that can be difficult to comprehend. For example, if we take a slip of paper and glue it to itself, we can get a ring. If we turn it a half turn before gluing it to itself, we get what's called a Möbius strip, which has only one side twice the length of the paper...


 2021-03-21  47m

58: Bringing Curvy Back (Gaussian Curvature)

In introductory geometry classes, many of the objects dealt with can be considered 'elementary' in nature; things like tetrahedrons, spheres, cylinders, planes, triangles, lines, and other such concepts are common in these classes. However, we often have the need to describe more complex objects. These objects can often be quite organic, or even abstract in shape, and include things like spirals, flowery shapes, and other curved surfaces...


 2021-03-04  45m

P8: Tangent Tango (Morikawa's Recently Solved Problem)

Join Sofía and Gabriel as they talk about Morikawa's recently solved problem, first proposed in 1821 and not solved until last year!

Also, if you haven't yet, check out our sponsor The Great Courses at for a free month! Learn basically anything there.

The paper featured in this episode can be found at


 2021-02-25  23m

P7: Root for Squares (Irrationality of the Square Root of Two)

Join Sofía and Gabriel as they discuss an old but great proof of the irrationality of the square root of two.

[Featuring: Sofía Baca, Gabriel Hesch]

Ways to support the show:

-Visit our Sponsors:   theGreatCoursesPlus...


 2021-02-07  17m

57: You Said How Much?! (Measure Theory)

If you are there, and I am here, we can measure the distance between us. If we are standing in a room, we can calculate the area of where we're standing; and, if we want, the volume. These are all examples of measures; which, essentially, tell us how much 'stuff' we have. So what is a measure? How are distance, area, and volume related? And how big is the Sierpinski triangle? All of this and more on this episode of Breaking Math...


 2021-02-01  33m

P6: How Many Angles in a Circle? (Curvature; Euclidean Geometry)

Sofía and Gabriel discuss the question of "how many angles are there in a circle", and visit theorems from Euclid, as well as differential calculus.

This episode is distributed under a CC BY-SA 4.0 license. For more information, visit

Ways to support the show:

-Visit our Sponsors:   theGreatCoursesPlus...


 2021-01-28  31m