Totally real number field
= Totally real number field
{wiki=Totally_real_number_field}
A totally real number field is a type of number field, which is defined as a finite extension of the field of rational numbers \\( \\mathbb\{Q\} \\). Specifically, a number field \\( K \\) is called totally real if every embedding of \\( K \\) into the complex numbers \\( \\mathbb\{C\} \\) maps \\( K \\) into the real numbers \\( \\mathbb\{R\} \\).