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PODCAST

The Art of Mathematics

Conversations, explorations, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.

science mathematics

All Episodes

00:17:50

Math Exploration for Kids

The Art of Mathematics ·

2021/12/09

Mark Hendrickson, of Beast Academy Playground, talks about how to bring young kids into the joy, creativity and exploration that mathematicians experience. Kids enjoy art because they are free to try things and shun math for its apparent rigidness. He offers subtly mathematical games that invite even very young children to explore and question. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:12:10

Is Mathematics an Art?

The Art of Mathematics ·

2021/11/10

Joshua Sack, mathematics professor at California State University, Long Beach, explores the breadth of art and mathematics and finds much commonality in patterns, emotions and more. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:19:54

Math as a way of thinking

The Art of Mathematics ·

2021/10/13

Ian Stewart, prolific author of popular books about math, discusses how math is the best way to think about the natural world. Often math developed for its own sake is later found useful for seemingly unrelated real-world problems. A silly little puzzle about islands and bridges leads eventually to a theory used for epidemics, transportation and kidney transplants. A space-filling curve, of interest to mathematicians mainly for being counterintuitive, has applications to efficient package delivery

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00:19:03

Symmetries in 3 and 4 Dimensions

The Art of Mathematics ·

2021/09/08

Joseph Bennish joins us once again to continue his discussion of symmetry, this time venturing into higher dimensions. We explore the complex symmetry groups of the Platonic solids and the sphere and their relationships. We then venture into the 4th dimension, where we see that, with a change to the distance the symmetries are maintaining, we get Einstein's Theory of Relativity. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

en

00:19:50

Symmetry, Shapes and Groups

The Art of Mathematics ·

2021/08/14

We are all born with an intuitive attraction to symmetry, through human faces and heartbeats. Joseph Bennish, of California State University Long Beach, explores the mathematical meaning of symmetry, what it means for one shape to be more symmetric than another, how symmetries form mathematical groups and groups form symmetries, and hints at implications for Fourier analysis, astronomy and relativity. --- Send in a voice message:

en

00:18:41

Freshmen and Sophomores Confront Unsolved Problems

The Art of Mathematics ·

2021/07/14

Dana Clahane, Professor of Mathematics at Fullerton College, dispels some of the misconceptions about mathematics and discusses some famous unsolved problems that he has freshmen and sophomores working on, learning what math is really about. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

en

00:18:29

Stereotypes of Mathematics and Mathematicians

The Art of Mathematics ·

2021/06/16

Will Murray, chair of the math department at California State University, Long Beach, discusses popular stereotypes of mathematicians and what they do when they do mathematics. Is it all lone geniuses generating big numbers? If so many people dislike mathematical thinking, why is Sudoku so popular? --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:16:35

Prime numbers and their surprising patterns

The Art of Mathematics ·

2021/06/02

Joseph Bennish talks about prime numbers, a simple concept with surprising characteristics. Are they regular or random? This takes us into unexpected realms--calculus, complex numbers, Fourier transforms and "the music of the primes." --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:18:20

Creativity in Mathematics

The Art of Mathematics ·

2021/05/19

Josh Hallam shares some of the ways he uses story writing and other creative endeavors in his math classes. He also discusses math in popular culture, including an original theorem in the animated show Futurama. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:13:20

The unreasonable effectiveness of mathematics

The Art of Mathematics ·

2021/05/05

Saleem Watson discusses the mysterious way math predicts the natural world. Much of math is invented, and yet there are many examples of cases in which purely abstract math, developed with no reference to the natural world, later is found to make accurate and useful models and predictions of the physical world. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:17:08

Alternative Proofs and Why We Seek Them

The Art of Mathematics ·

2021/04/21

Joseph Bennish discusses two famous theorems, proved long ago, and some modern alternative proofs. Why would we bother reproving something that was confirmed thousands of years ago? The answers are insight, aesthetics, and opening up surprising new areas of investigation. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:13:37

Symmetry--It's More Than You Think

The Art of Mathematics ·

2021/04/07

Scott Crass, Professor of Mathematics at CSULB, expands our vague intuition about symmetry to look at transformations of various kinds and what they leave fixed. This approach finds applications in physics, biology, art and several branches of math. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:17:21

Is Math Discovered or Invented?

The Art of Mathematics ·

2021/03/24

Saleem Watson, Professor Emeritus of Mathematics, CSULB, confronts an ancient mathematical argument. Is math a body of eternal truths waiting for an explorer to uncover them, or an invention or work of art created by the human mind? Or some of each? --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:16:44

That's Impossible. Oh, Yeah? Prove It.

The Art of Mathematics ·

2021/03/10

Paul Eklof, Professor Emeritus UCI, discusses the famous impossible straightedge-and-compass constructions of antiquity that have fascinated mathematicians and attracted cranks for centuries. There are infinitely many possible constructions. How can you prove not one of them will work? --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:16:35

The Joy of Mathematical Discovery

The Art of Mathematics ·

2021/02/24

Joseph Bennish, math professor at California State University, Long Beach, discusses how math is an exploration involving imagination and excitement. Kids get this. Adults can recapture this by generalizing and questioning. For example, a simple barnyard riddle leads to questions about optics. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:14:26

The Monty Hall Problem

The Art of Mathematics ·

2021/02/10

You are a contestant on Let's Make a Deal, hosted by Monty Hall. There are 3 identical doors. Behind only one is the prize car. You make your choice, then Monty Hall opens one of the other doors to reveal a goat and asks whether you want to change your choice. Should you, or does it matter? Paula Sloan talks about the counterintuitive answer, and how she got the Duke MBA students in her math class to believe the answer. --- Send in a voice message:

en

00:20:47

What Is Mathematics? Some Surprising Answers

The Art of Mathematics ·

2021/01/27

Brian Katz, a professor at California State University, Long Beach,approaches math as a philosopher, a linguist and an artist. It is not a science, but a byproduct of consciousness, an expression of humanity and a way to make connections. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

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00:15:53

Being a Mathematician

The Art of Mathematics ·

2021/01/13

We talk with Kathryn McCormick, Assistant Professor at California State University, Long Beach, about why she got into this obscure field, what a mathematician really does, and where we can learn more about being a mathematician. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

en

00:16:29

Math Jokes and What They Say about Mathematicians

The Art of Mathematics ·

2020/12/30

There are a lot of jokes that poke fun at mathematicians, how they think and how they fumble around in the real world. Many of them start, "A mathematician, an engineer and a physicist ..." We'll look at what these jokes say about us. The most telling is a little joke that only a mathematician would enjoy, since it gives surprising insight into how mathematicians think through all this abstraction. --- Send in a voice message:

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00:16:02

The Most Famous (Formerly) Unsolved Problem

The Art of Mathematics ·

2020/12/16

Fermat’s Last Theorem is easy to state but has taken over 300 years to prove. Fermat’s supposed “marvelous proof” has been a magnet for crackpots and obsessed mathematicians, leading through a treasure hunt across almost all branches of mathematics. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

en

72 results

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