[ANT15] p-adic integers: a primer, and an application (part 1)
The p-adic integers are pretty easy to define, but it's far from obvious what the point of them is, or how we should even think about them. In this video, I describe them as a practical tool: a collection of number systems that are related to the usual integers Z, but where solving equations can be much easier. It would be nice if we could port these results back over from Z_p to Z, but that's a topic for another video...
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The Distance Between Numbers - Numberphile
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How to Wrangle Infinity (an intro to p-adic numbers)
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The bridge between number theory and complex analysis
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What happens if you just keep squaring?
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1 Billion is Tiny in an Alternate Universe: Introduction to p-adic Numbers
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Surreal Numbers (writing the first book) - Numberphile
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The strange cousin of the complex numbers -- the dual numbers.
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Intuition for the p-adic metric
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p adic numbers. Part 1 of 3: 10-adic integers.
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In 2003 We Discovered a New Way to Generate Primes
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What are...p-adic integers?
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Representations of p-adic groups - Jessica Fintzen
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The Calculus Idea I Wish Had Been Explained First
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What is the Riemann Hypothesis REALLY about?
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Mystery of the Quintic
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Intro to p-adic numbers: first definitions
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How The Riemann Zeta Function Encodes The Prime Numbers
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Outside In
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