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Curated by: DFulks Math (15 videos)
What does it mean to "factor" the sine function? We explore Euler's brilliant infinite product for sine, and show how he used it to solve the Basel Problem. Along the way, we see an infinite product expansion for pi/2 (the Wallis Product). This is some genuinely beautiful math, involving complex analysis, infinite series and infinite products, Weierstrass/Hadamard factorization, and more.