Srinivasa Ramanujan – The Self-Taught Genius Who Rewrote Mathematics

This episode tells the extraordinary story of Srinivasa Ramanujan, one of the most brilliant and enigmatic mathematicians in history. Born in 1887 in India and largely self-taught, Ramanujan developed profound mathematical insights despite extreme poverty, limited formal education, and lack of access to academic resources. Using a single outdated mathematics book, he filled notebooks with original formulas, identities, and infinite series—many of which were far ahead of their time. His life changed in 1913 when he boldly wrote to British mathematician G.H. Hardy, who immediately recognized his genius and invited him to Cambridge. There, Ramanujan made groundbreaking contributions to number theory, partition functions, infinite series, and approximations of π, producing results that still influence modern mathematics. Even as illness overtook him, Ramanujan continued working, discovering concepts such as mock theta functions, which puzzled mathematicians for decades and later found applications in theoretical physics. Ramanujan died in 1920 at the age of 32, but his legacy endured. His notebooks continue to inspire new research, proving that intuition, imagination, and perseverance can transcend formal training. His life stands as a powerful testament to human creativity and the boundless potential of the mathematical mind.