MichaelMaths @michaelmaths_
The official X account for MichaelMaths — interesting math videos covering a range of different topics, mainly analysis focused (studying Data Sci @ UWaterloo) youtube.com/@MichaelMaths_ Canada Joined April 2021-
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There is a lot about Euclid’s Elements that is easily misunderstood. Some proofs seem to have logical gaps. Some constructions seem pointless, others seem needlessly convoluted. Each of these provides a window into how the ancient Greeks thought about math and the philosophical…
New video on fractional calculus, a branch of calculus that generalizes derivatives and integrals to any real (or complex) number order, been a long time coming since I had actually learned about and took notes on it as early as 2022 lol. youtu.be/BD8v5fAd3Rk
Let M be the n by n matrix with 1 on the main diagonal and i on the two adjacent diagonals. Then the determinant of M is the nth Fibonacci number.
Happy New Year! 🎉 2025 will be the only square year (45²) in many of our lifetimes.
Someone input 0 into the Dirac delta
Black Friday sale on complex derivatives: Buy one, get infinitely many more free.
disproving the infinite monkeys theorem by observing that there are in fact only finitely many monkeys
Mathematicians' costumes are so abstract, what do you mean you're a sporadic simple group of order 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000?
"It wasn't easy grading all these induction proofs, but I just kept telling myself that if I could get through this one, I could get through the next one." -- Patrick Honner
Mathematicians: we introduce notation to simplify complex ideas Also mathematicians: 5!! < 5!
A fascinating essay by Michael Atiyah about problem solving in math:
Sir Michael Atiyah on the 𝗶𝗺𝗽𝗼𝗿𝘁𝗮𝗻𝗰𝗲 𝗼𝗳 𝗜𝗻𝘁𝘂𝗶𝘁𝗶𝗼𝗻 in Mathematics
New video on solving a general trinomial equation using generalized hypergeometric functions. This is an extension from the Bring-Jerrard quintic from a previous video that covers more details on the series reversion process and determining GHF parameters. youtu.be/u4Hm3YGE-dY
#Fibonacci Numbers have fascinated mathematicians for centuries. The Fibonacci rabbit hole goes so deep that even to this day new insights are being gained from them and more properties, generalizations and applications in #NumberTheory are being discovered. #mathType #math
Fun is overrated. Do math.
why do so many textbooks give lots of details, but so little insight or motivation? here's a quote from mathematician Mikhael Gromov (who won the Abel Prize in 2009) that explains the situation:
How Lewis Carroll calculated determinants johndcook.com/blog/2023/07/1…
The Dirac comb and its significance johndcook.com/blog/2015/12/2…
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