Theory of Algebraic Integers

Dedekind's groundbreaking ideals from the 1870s laid the foundation for modern algebraic number theory. His memoir, originally published in installments in 1877, offers an insightful narrative of his mathematical journey, detailing the challenges he faced and the elegant theories he developed. This translation by John Stillwell includes a comprehensive introduction that contextualizes Dedekind's work within its historical framework and highlights the mathematical obstacles he aimed to surmount, providing readers with a deeper understanding of his contributions.