Ireland, Kenneth F.
A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen.
— 2nd ed. — New York : Springer-Verlag, c1990. xiv, 389 p. ; 25 cm. — (Graduate texts in mathematics ; 84)
"A revised and expanded version of Elements of number theory, published in 1972 by Bogden & Quigley."—Dorso port.
Incluye referencias bibliográficas (p. 375-384) e índice.
Contenido: 1. Unique factorization — 2. Applications of unique factorization — 3. Congruence — 4. The structure of U(Z/nZ) — 5. Quadratic reciprocity — 6. Quadratic Gauss sums — 7. Finite fields — 8. Gauss and Jacobi sums — 9. Cubic and biquadratic reciprocity — 10. Equations over finite fields — 11. The Zeta function — 12. Algebraic number theory — 13. Quadratic and cyclotomic fields — 14. The Stickelberger relation and the Eisenstein reciprocity law — 15. Bernoulli numbers — 16. Dirichlet $L$-functions — 17. Diophantine equations — 18. Elliptic curves — 19. The Mordell-Weil theorem — 20. New progress in arithmetic geometry.
ISBN 038797329X. — ISBN 354097329X (Berlin)
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