Quadratic Irrationals An Introduction To Classical Number Theory

Description:

"This work focuses on the number theory of quadratic irrationalities in various forms, including continued fractions, orders in quadratic number fields, and binary quadratic forms. It presents classical results obtained by the famous number theorists Gauss, Legendre, Lagrange, and Dirichlet. Collecting information previously scattered in the literature, the book covers the classical theory of continued fractions, quadratic orders, binary quadratic forms, and class groups based on the concept of a quadratic irrational"--

subjects: Quadratic fields,  Algebraic number theory,  MATHEMATICS / Algebra / General,  MATHEMATICS / Number Theory,  MATHEMATICS / Combinatorics,  Algebraic fields,  Corps quadratiques,  Théorie algébrique des nombres,  MATHEMATICS,  Algebra,  General,  Number Theory,  Combinatorics