Algebraic Theory of Quadratic Numbers

• Main Author: Trifković, Mak (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Universitext,
• Subjects: Mathematics.; Algebra.; Number theory.; Number Theory.

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...

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.