01456 a2200289 4500 OSt 20260729163909.0 260729b |||||||| |||| 00| 0 eng d 9783032206770 (pbk.) PU 512.74 LEM Lemmermeyer, Franz, author Quadratic number fields / Franz Lemmermeyer. Reprint 2026. Cham, Switzerland : Springer, 2021-R2026. xi, 343 p. : ill. ; 22 cm. Springer Undergraduate Mathematics Series Includes bibliographical references, exercises with solutions, and indexes. 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. 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. Mathematics Quadratic fields. Algebraic number theory. Diophantine equations Ideal theory (Mathematics) BK ddc 393252 393252 0 0 ddc 0 0 NFIC PU PU GEN 2026-07-24 3758 2722.00 0 512.74 LEM 236216 2026-07-24 00:00:00 2722.00 2026-07-24 BK NBHM BOOKS 2026-2027