A Classical Introduction to Modern Number Theory /

Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along w...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Ireland, Kenneth
Other Authors: Rosen, Michael
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York, 1990.
Edition:Second edition.
Series:Graduate texts in mathematics ; 84.
Subjects:
Mathematics.
Number theory.
Mathematics
Mathématiques.
Théorie des nombres.
Number theory
Online Access:Texto completo
Table of Contents:
  • Unique Factorization
  • Applications of Unique Factorization
  • Congruence
  • The Structure of U(Z/nZ)
  • Quadratic Reciprocity
  • Quadratic Gauss Sums
  • Finite Fields
  • Gauss and Jacobi Sums
  • Cubic and Biquadratic Reciprocity
  • Equations Over Finite Fields
  • The Zeta Function
  • Algebraic Number Theory
  • Quadratic and Cyclotomic Fields
  • The Stickelberger Relation and the Eisenstein Reciprocity Law
  • Bernoulli Numbers
  • Dirichlet L-Functions
  • Diophantine Equations
  • Elliptic Curves
  • The Mordell-Weil Theorem
  • New Progress in Arithmetic Geometry
  • Selected Hints for the Exercises
  • Bibliography
  • Index.

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