Notation; Introduction; 1. Algebraic foundations; 2. Dedekind domains; 3. Extensions; 4. Classgroups and units; 5. Fields of low degree; 6. Cyclotomic fields; 7. Diophantine equations; 8. L-functions; Appendices; Exercises; Glossary of theorems; Index.

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A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory.

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'It promises to become a classic.' Monatshefte fur Mathematik '... very nice and carefully written ... many excellent exercises...' European Mathematical Society Newsletter

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