Algebraic Theory of Quadratic Numbers

Algebraic Theory of Quadratic Numbers by Mak Trifković.

By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove importan...

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Bibliographic Details
Main Author: Trifković, Mak (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Universitext,
Springer eBook Collection.
Subjects:
Number theory.
Algebra.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Examples
  • 2 A Crash Course in Ring Theory
  • 3 Lattices
  • 4 Arithmetic in Q[√D]
  • 5 The Ideal Class Group and Geometry of Numbers
  • 6 Continued Fractions
  • 7 Quadratic Forms
  • Appendix
  • Hints to Selected Exercises
  • Index.

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