ABSTRACT

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T

chapter 1|24 pages

Quadratic irrationals

chapter 2|38 pages

Continued fractions

chapter 3|36 pages

Quadratic residues and Gauss sums

chapter 5|76 pages

Quadratic orders

chapter 6|66 pages

Binary quadratic forms

chapter 7|64 pages

Cubic and biquadratic residues

chapter 8|38 pages

Class groups