A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class field theory (11R37) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01)

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