TY  - GEN
AU  - Lemmermeyer, Franz,
TI  - Quadratic number fields
T2  - Springer Undergraduate Mathematics Series
SN  - 9783032206770 (pbk.)
U1  - 512.74 LEM 
PY  - 2021///-R2026
CY  - Cham, Switzerland
PB  - Springer, 
KW  - Mathematics
KW  - Quadratic fields
KW  - Algebraic number theory
KW  - Diophantine equations
KW  - Ideal theory (Mathematics)
N1  - 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
N2  - 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

ER  -