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Introductory algebraic number theory

By: Contributor(s): Material type: TextTextLanguage: English Publication details: New York Cambridge University Press 2004Description: xvii, 428p. illISBN:
  • 0521540119 (PB)
Subject(s):
Contents:
Introduction 1. Integral domains 2. Euclidean domains 3. Noetherian domains 4. Elements integral over a domain 5. Algebraic extensions of a field 6. Algebraic number fields 7. Integral bases 8. Dedekind domains 9. Norms of ideals 10. Decomposing primes in a number field 11. Units in real quadratic fields 12. The ideal class group 13. Dirichlet's unit theorem 14. Applications to diophantine equations.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.2 ALA (Browse shelf(Opens below)) Checked out 10/06/2026 50428

Includes index

Includes bibliography(p. 423-424) and references.

Introduction
1. Integral domains
2. Euclidean domains
3. Noetherian domains
4. Elements integral over a domain
5. Algebraic extensions of a field
6. Algebraic number fields
7. Integral bases
8. Dedekind domains
9. Norms of ideals
10. Decomposing primes in a number field
11. Units in real quadratic fields
12. The ideal class group
13. Dirichlet's unit theorem
14. Applications to diophantine equations.

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The Institute of Mathematical Sciences, Chennai, India