Hosted by Gabriel Hesch and Autumn Phaneuf, who have advanced degrees in EE and industrial engineering/operations research respectively, come together to discuss mathematics as a pure field al in its own as well as how it describes the language of science, engineering, and even creativity. Breaking Math brings you the absolute best in interdisciplinary science discussions - bringing together experts in varying fields including artificial intelligence, neuroscience, evolutionary biology, physics, chemistry and materials-science, and more - to discuss where humanity is headed. website: breakingmath.io linktree: linktree.com/breakingmathmedia email: breakingmathpodcast@gmail.com
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Gesamtlänge aller Episoden: 3 days 16 hours 54 minutes
64: What Projection Is This? (Map Projections)
The world is a big place with a lot of wonderful things in it. The world also happens to be spherical, which can make getting to those things a challenge if you don't have many landmarks. This is the case when people are navigating by sea. For this...
RR36: The Most Boring Episode Ever (Rerun: Math Games)
This is a rerun of one of our favorite episodes! We hope that you enjoy it if you haven't listened to it yet. We'll be back next week with new content! Thank you so much for listening to Breaking Math! Math is a gravely serious topic which has been...
63: Broken Voting Systems (Voting Systems and Paradoxes)
Voting systems are, in modern times, essential to the way that large-scale decisions are made. The concept of voicing an opinion to be, hopefully, considered fairly is as ancient and well-established as the human concept of society in general. But, as...
62: The Atom Bomb of Information Operations (An Interview with John Fuisz of Veriphix)
Forecasting is a constantly evolving science, and has been applied to complex systems; everything from the weather, to determining what customers might like to buy, and even what governments might rise and fall. John Fuisz is someone who works with...
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...
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...
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...
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,...
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...
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...