Chapters: Ch 1 · Ch 2 · Ch 3 · Ch 4 · Ch 5
Research-Level Mathematics
Terence Tao (YouTube) https://www.youtube.com/channel/UCCGfqB7qtWIktmPyf5UMcbw
The YouTube channel of Fields Medalist Terence Tao — widely considered the most gifted living mathematician. Content includes lectures on analytic number theory, harmonic analysis, compressed sensing, and the structure of mathematical research. His blog posts and public discussions on mathematical intuition, the role of rigor, and how mathematicians actually think are essential reading. [→ mathematics; research]
N N Taleb’s Probability & Statistics (YouTube) https://www.youtube.com/channel/UC8uY6yLP9BS4BUc9BSc0Jww
Nassim Nicholas Taleb’s probability and statistics problems channel — accompanying his Incerto series (The Black Swan, Antifragile, Skin in the Game). Covers fat-tailed distributions, the ludic fallacy, ergodicity, and why classical statistics fails for extreme events. Taleb’s critique of naive probabilism is directly relevant to AI/ML risk modeling. [→ mathematics; probability; risk]
Pavel Mavrin — Competitive Programming & Algorithms (YouTube) https://www.youtube.com/channel/UC9WDkCyUlNTncq1Y-mFSgLQ
High-rated competitive programmer covering advanced algorithmic problem-solving — segment trees, flow networks, number theory algorithms, and the mathematical structures underlying competitive programming. Competitive programming is a demanding form of applied mathematics with strict time constraints. [→ mathematics; algorithms; competitive-programming]
CRASSH Cambridge (YouTube) https://www.youtube.com/channel/UCnJcyCF7IrcT3Lyufu_nr-A
The Centre for Research in the Arts, Social Sciences, and Humanities at Cambridge — interdisciplinary lecture series where mathematicians, historians, philosophers, and scientists meet. Notable for mathematical history content and the philosophy of mathematics. [→ mathematics; history-of-science]