A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
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A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
Infinity in a Finite World: Sequences, Series, and the Power of Convergence
Intellectually Curious
4 minutes
4 days ago
Infinity in a Finite World: Sequences, Series, and the Power of Convergence
In this episode, we untangle the difference between sequences and infinite sums, explore how partial sums reveal convergence or divergence, and uncover why rearranging terms can change the outcome for certain series. We connect Zeno’s paradox to modern math and discuss what these ideas imply for modeling motion and complex systems. Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersilk LLC
Intellectually Curious
A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
