33 episodes

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

The Art of Mathematics Carol Jacoby

    • Science
    • 5.0 • 4 Ratings

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

    The Art of Definitions

    The Art of Definitions

    Brian Katz of CSULB joins us once again to discuss mathematical definitions. Students often see them as cast in stone. Prof. Katz helps them see that they're artifacts of human choices. The student has the power to create mathematics through definitions. This is illustrated by the definitions of "sandwich" and "approaching a limit." What makes a good definition? How is mathematics like a dream?


    ---

    Send in a voice message: https://anchor.fm/the-art-of-mathematics/message

    • 19 min
    Math Exploration for Kids

    Math Exploration for Kids

    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://anchor.fm/the-art-of-mathematics/message

    • 17 min
    Is Mathematics an Art?

    Is Mathematics an Art?

    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://anchor.fm/the-art-of-mathematics/message

    • 12 min
    Math as a way of thinking

    Math as a way of thinking

    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. The mathematical theories are often so bizarre that you wouldn't find them if you started with the real-world problem.


    ---

    Send in a voice message: https://anchor.fm/the-art-of-mathematics/message

    • 19 min
    Symmetries in 3 and 4 Dimensions

    Symmetries in 3 and 4 Dimensions

    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://anchor.fm/the-art-of-mathematics/message

    • 19 min
    Symmetry, Shapes and Groups

    Symmetry, Shapes and Groups

    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: https://anchor.fm/the-art-of-mathematics/message

    • 19 min

Customer Reviews

5.0 out of 5
4 Ratings

4 Ratings

Top Podcasts In Science

Hidden Brain
Alie Ward
CBS News Radio
Bret Weinstein & Heather Heying
Sam Harris
Neil deGrasse Tyson

You Might Also Like

Breaking Math Podcast
Intellectual Mathematics
Quanta Magazine
Neil deGrasse Tyson
BBC World Service
Vox