Lemmermeyer, Franz, <br/><br/>
Quadratic number fields / 
Franz Lemmermeyer. 
 - Reprint 2026. 
 - Cham, Switzerland :  Springer,   2021-R2026. 
 - xi, 343 p. :  ill. ;   22 cm. 
 - Springer Undergraduate Mathematics Series .
<br/><br/>Includes bibliographical references, exercises with solutions, and indexes. 
<br/><br/>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. 
<br/><br/> 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.<br/> 
<br/><br/><label>ISBN: </label>9783032206770 (pbk.) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics<br/>Quadratic fields.<br/>Algebraic number theory.<br/>Diophantine equations<br/>Ideal theory (Mathematics)
<br/><br/><label>Dewey Class. No.: </label>512.74 LEM