Algebraic Number Theory

ISBN-13: 9780521438346 / Angielski / Miękka / 1993 / 372 str.

A. Frohlich; M. J. Taylor

Opis

This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Throughout, the authors emphasize the systematic development of techniques for the explicit calculation of the basic invariants such as rings of integers, class groups, and units, combining at each stage theory with explicit computations.

Recenzje

'… very nice and carefully written … many excellent exercises…' European Mathematical Society Newsletter

Spis treści

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.