
Calculus, linear algebra, discrete math, probability theory, statistics, and foundational pure mathematics.




The video discusses a historical feud between mathematicians Pavel Nekrasov and Andrey Markov over the nature of probability, juxtaposing their differing views on independent versus dependent events. Markov's work established that dependent events could also follow the law of large numbers, leading to breakthrough applications in fields such as nuclear science and internet search algorithms. The narrative culminates in how Markov chains transformed probability theory and influenced technologies like Google PageRank and modern language models.