Niels Henrik Abel

A portrait traces the life and work of a brilliant but short-lived mathematician, outlining family origins, personal hardships including household alcoholism and financial struggle, and a close sister's support. It summarizes major mathematical achievements—rigorous advances in algebra, foundational work on elliptic functions, an influential treatment of series, and a celebrated general theorem—along with the publication history and contemporary recognition. The narrative balances technical exposition of mathematical ideas with biographical detail, showing how intense creativity and unfulfilled potential produced a legacy of rigorous exposition, original methods, and growing posthumous esteem.