Includes bibliographical references (p. 353-354) and index.
Algebraic integers -- Completions -- The different and discriminant -- Cyclotomic fields -- Parallelotopes -- The ideal function -- Ideles and adeles -- Elementary properties of the zeta function and L-series -- Norm index computations -- The Artin symbol, reciprocity law, and class field theory -- The existence theorem and local class field theory -- L-series again -- Functional equation of the zeta function, Hecke's proof -- Functional equation, Tate's thesis -- Density of primes and Tauberian theorem -- The Brauer-Siegel theorem -- Explicit formulas.