John Stillwell, Introduction to Theory of Algebraic Integers by Richard Dedekind.
Hollywood Squares | Liouville's theorem | Chinese remainder theorem | Shannon–Hartley theorem | Quillen–Suslin theorem | Nyquist–Shannon sampling theorem | Hahn–Banach theorem | Fermat's Last Theorem | Fermat point | Buckingham π theorem | Washington Squares | Thue–Siegel–Roth theorem | Szemerédi's theorem | Sum-of-squares optimization | Schottky's theorem | Riemann-Roch theorem | Pythagorean theorem | Pierre de Fermat | Ordinary least squares | Nash embedding theorem | Müntz–Szász theorem | Malgrange–Ehrenpreis theorem | Kleene fixed-point theorem | Kakutani fixed-point theorem | Gauss–Bonnet theorem | Fermat number | Doob's martingale convergence theorem | Dirichlet's theorem on arithmetic progressions | Denjoy theorem | Birch's theorem |