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Quadratic number fields / Franz Lemmermeyer.

By: Series: Springer Undergraduate Mathematics SeriesPublication details: Cham, Switzerland : Springer, 2021-R2026.Edition: Reprint 2026Description: xi, 343 p. : ill. ; 22 cmISBN:
  • 9783032206770 (pbk.)
Subject(s): DDC classification:
  • 512.74 LEM
Contents:
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.
Summary: 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.
List(s) this item appears in: New Arrival 2026
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Books Central Library General stacks Non-fiction 512.74 LEM (Browse shelf(Opens below)) Available NBHM BOOKS 2026-2027 236216

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.

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