the number system where 1+2+4+8+⋯ really is −1
37:11
the number system where 1+2+4+8+⋯ really is −1
7.9K views2 weeks ago
YouTubeMichael Penn
the famous goat problem
24:34
the famous goat problem
5K views1 month ago
YouTubeMichael Penn
how "all" function sum identities are related
21:11
how "all" function sum identities are related
9.9K views3 months ago
YouTubeMichael Penn
Your calculus teacher lied to you about limits (here's the proof)
41:15
Your calculus teacher lied to you about limits (here's the proof)
18.4K views3 months ago
YouTubeMichael Penn
2025 AMC 12B -- All problems and solutions!!
1:49:55
2025 AMC 12B -- All problems and solutions!!
5.1K views6 months ago
YouTubeMichael Penn
using wishful thinking to solve a differential equation
20:42
using wishful thinking to solve a differential equation
7K views5 months ago
YouTubeMichael Penn
Lah Numbers and an appearance of exponential generating functions
21:48
Lah Numbers and an appearance of exponential generating functions
12.7K viewsJun 23, 2025
YouTubeMichael Penn
23:22
these three numbers are almost a right triangle
16.8K views2 months ago
YouTubeMichael Penn
20:16
why only some infinite power towers are well defined.
70.8K views8 months ago
YouTubeMichael Penn
20:28
a super nice integral
9.2K views9 months ago
YouTubeMichael Penn
27:45
some mathematics of parallel processing
6K views4 months ago
YouTubeMichael Penn
28:21
How often (Gaussian) integers are relatively prime
7.3K views7 months ago
YouTubeMichael Penn
23:16
any rational power of e is irrational!
14.8K views4 months ago
YouTubeMichael Penn
32:57
the first proof of the irrationality of pi!
18.7K views5 months ago
YouTubeMichael Penn
1:41:30
All problems and solutions to the 2025 AMC 10A
7.8K views7 months ago
YouTubeMichael Penn
22:34
how to count "cycled" permutations -- Stirling Numbers.
4.1K views7 months ago
YouTubeMichael Penn
20:31
the gnarliest integral on the channel in a long time....
6.9K views5 months ago
YouTubeMichael Penn
31:46
Ramanujan's favorite coincidence (it's not a coincidence)
98.6K views3 months ago
YouTubeMichael Penn
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