Lemmermeyer, Franz creator author Cham, Switzerland Springer 2021-R2026 Reprint 2026. eng xi, 343 p. : ill. ; 22 cm. An undergraduate introduction to algebraic number theory through quadratic number fields, covering rings of integers, ideals, class groups, Pell equations, quadratic reciprocity, modularity, and applications to Diophantine equations. Prehistory -- Quadratic number fields -- The modularity theorem -- Divisibility in integral domains -- Arithmetic in some quadratic number fields -- Ideals in quadratic number fields -- The Pell equation -- Catalan's equation -- Ambiguous ideal classes and quadratic reciprocity -- Quadratic Gauss sums -- Computing with Pari and Sage -- Solutions. Franz Lemmermeyer. Includes bibliographical references, exercises with solutions, and indexes. Mathematics Quadratic fields Algebraic number theory Diophantine equations Ideal theory (Mathematics) 512.74 LEM 9783032206770 (pbk.) 260729 20260729163909.0