PBS Infinite Series

Season 2017

Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you'll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.

Where to Watch Season 2017

43 Episodes

  • When Pi is Not 3.14
    E1
    When Pi is Not 3.14You’ve always been told that pi is 3.14. This is true, but this number is based on how we measure distance. Find out what happens to pi when we change the way we measure distance.
  • Can a Chess Piece Explain Markov Chains?
    E2
    Can a Chess Piece Explain Markov Chains?In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight returned to its starting square?
  • Singularities Explained
    E3
    Singularities ExplainedMathematician Kelsey Houston-Edwards explains exactly what singularities are and how they exist right under our noses.
  • Kill the Mathematical Hydra
    E4
    Kill the Mathematical HydraMathematician Kelsey Houston-Edwards explains how to defeat a seemingly undefeatable monster using a rather unexpected mathematical proof. In this episode you’ll see mathematician vs monster, thought vs ferocity, cardinal vs ordinal. You won’t want to miss it.
  • How Infinity Explains the Finite
    E5
    How Infinity Explains the FinitePeano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
  • The Mathematics of Quantum Computers
    E6
    The Mathematics of Quantum ComputersWhat is the math behind quantum computers? And why are quantum computers so amazing? Find out on this episode of Infinite Series.
  • Splitting Rent with Triangles
    E7
    Splitting Rent with TrianglesYou can find out how to fairly divide rent between three different people even when you don’t know the third person’s preferences! Find out how with Sperner’s Lemma.
  • Infinite Chess
    E8
    Infinite ChessHow long will it take to win a game of chess on an infinite chessboard?
  • 5 Unusual Proofs
    E9
    5 Unusual Proofs
  • Proving Pick's Theorem
    E10
    Proving Pick's Theorem
  • What is a Random Walk?
    E11
    What is a Random Walk?
  • Solving the Wolverine Problem with Graph Coloring
    E12
    Solving the Wolverine Problem with Graph Coloring
  • Can We Combine pi & e to Make a Rational Number?
    E13
    Can We Combine pi & e to Make a Rational Number?
  • How to Break Cryptography
    E14
    How to Break CryptographyOnly 4 steps stand between you and the secrets hidden behind RSA cryptography. Find out how to crack the world’s most commonly used form of encryption.
  • Hacking at Quantum Speed with Shor's Algorithm
    E15
    Hacking at Quantum Speed with Shor's AlgorithmClassical computers struggle to crack modern encryption. But quantum computers using Shor’s Algorithm make short work of RSA cryptography. Find out how.
  • Building an Infinite Bridge
    E16
    Building an Infinite BridgeUsing the harmonic series we can build an infinitely long bridge. It takes a very long time though. A faster method was discovered in 2009.
  • Topology Riddles
    E17
    Topology RiddlesCan you turn your pants inside out without taking your feet off the ground?
  • The Devil's Staircase
    E18
    The Devil's StaircaseFind out why Cantor’s Function is nicknamed the Devil’s Staircase.
  • Dissecting Hypercubes with Pascal's Triangle
    E19
    Dissecting Hypercubes with Pascal's Triangle
  • Pantographs and the Geometry of Complex Functions
    E20
    Pantographs and the Geometry of Complex Functions
  • Voting Systems and the Condorcet Paradox
    E21
    Voting Systems and the Condorcet ParadoxWhat is the best voting system? Voting seems relatively straightforward, yet four of the most widely used voting systems can produce four completely different winners.
  • Arrow's Impossibility Theorem
    E22
    Arrow's Impossibility TheoremThe bizarre Arrow’s Impossibility Theorem, or Arrow’s Paradox, shows a counterintuitive relationship between fair voting procedures and dictatorships.
  • Network Mathematics and Rival Factions
    E23
    Network Mathematics and Rival FactionsThe theory of social networks allows us to mathematically model and analyze the relationships between governments, organizations and even the rival factions warring on Game of Thrones.
  • Making Probability Mathematical
    E24
    Making Probability MathematicalWhat happened when a gambler asked for help from a mathematician? The formal study of Probability
  • Why Computers are Bad at Algebra
    E25
    Why Computers are Bad at AlgebraThe answer lies in the weirdness of floating-point numbers and the computer's perception of a number line.
  • The Honeycombs of 4-Dimensional Bees ft. Joe Hanson
    E26
    The Honeycombs of 4-Dimensional Bees ft. Joe HansonWhy is there a hexagonal structure in honeycombs? Why not squares? Or asymmetrical blobby shapes? In 36 B.C., the Roman scholar Marcus Terentius Varro wrote about two of the leading theories of the day. First: bees have six legs, so they must obviously prefer six-sided shapes. But that charming piece of numerology did not fool the geometers of day. They provided a second theory: Hexagons are the most efficient shape. Bees use wax to build the honeycombs -- and producing that wax expends bee energy. The ideal honeycomb structure is one that minimizes the amount of wax needed, while maximizing storage -- and the hexagonal structure does this best.
  • Stochastic Supertasks
    E27
    Stochastic SupertasksWhat happens when you try to empty an urn full of infinite balls? It turns out that whether the vase is empty or full at the end of an infinite amount of time depends on what order you try to empty it in. Check out what happens when randomness and the Ross-Littlewood Paradox collide.
  • Your Brain as Math - Part 1
    E28
    Your Brain as Math - Part 1
  • Simplicial Complexes - Your Brain as Math Part 2
    E29
    Simplicial Complexes - Your Brain as Math Part 2
  • Your Mind Is Eight-Dimensional - Your Brain as Math Part 3
    E30
    Your Mind Is Eight-Dimensional - Your Brain as Math Part 3
  • How the Axiom of Choice Gives Sizeless Sets
    E31
    How the Axiom of Choice Gives Sizeless Sets
  • Higher-Dimensional Tic-Tac-Toe
    E32
    Higher-Dimensional Tic-Tac-Toe
  • The Cops and Robbers Theorem
    E33
    The Cops and Robbers Theorem
  • How Many Cops to Catch a Robber?
    E34
    How Many Cops to Catch a Robber?
  • How to Generate Pseudorandom Numbers
    E35
    How to Generate Pseudorandom Numbers
  • Crisis in the Foundation of Mathematics
    E36
    Crisis in the Foundation of Mathematics
  • Hilbert's 15th Problem: Schubert Calculus
    E37
    Hilbert's 15th Problem: Schubert Calculus
  • The Heat Equation + Special Announcement!
    E38
    The Heat Equation + Special Announcement!
  • The Multiplication Multiverse
    E39
    The Multiplication Multiverse
  • Associahedra: The Shapes of Multiplication
    E40
    Associahedra: The Shapes of Multiplication
  • (Almost) Unbreakable Crypto
    E41
    (Almost) Unbreakable CryptoDespite what many believe, the essence of encryption isn’t really about factoring or prime numbers. So what is it about?
  • This Video was Not Encrypted with RSA
    E42
    This Video was Not Encrypted with RSALast time, we discussed symmetric encryption protocols, which rely on a user-supplied number called "the key" to drive an algorithm that scrambles messages. Since anything encrypted with a given key can only be decrypted with the same key, Alice and Bob can exchange secure messages once they agree on a key. But what if Alice and Bob are strangers who can only communicate over a channel monitored by eavesdroppers like Eve? How do they agree on a secret key in the first place?
  • Topology vs 'a' Topology
    E43
    Topology vs 'a' TopologyWhat exactly is a topological space?

 

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