A classical introduction to modern number theory /
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| Autor Principal: | |
|---|---|
| Otros Autores: | |
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Springer-Verlag,
c1990.
|
| Edición: | 2nd ed. |
| Series: | Graduate texts in mathematics ;
84 |
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| LEADER | 01763nam a22002895a 4500 | ||
|---|---|---|---|
| 001 | MAT.inmabb000256 | ||
| 008 | 900501s1990####nyu######b####001#0#eng## | ||
| 005 | 20130227162633.0 | ||
| 245 | 1 | 2 | |a A classical introduction to modern number theory / |c Kenneth Ireland, Michael Rosen. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York : |b Springer-Verlag, |c c1990. | ||
| 300 | |a xiv, 389 p. ; |c 25 cm. | ||
| 440 | 0 | |a Graduate texts in mathematics ; |v 84 | |
| 500 | |a "A revised and expanded version of Elements of number theory, published in 1972 by Bogden & Quigley."--Dorso port. | ||
| 504 | |a Incluye referencias bibliográficas (p. 375-384) e índice. | ||
| 505 | 0 | |a 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. | |
| 510 | 4 | |a MR, |c 92e:11001 | |
| 020 | |a 038797329X | ||
| 020 | |a 354097329X (Berlin) | ||
| 100 | 1 | |a Ireland, Kenneth F. | |
| 700 | 1 | |a Rosen, Michael I. |q (Michael Ira), |d 1938- | |
| 700 | 1 | |a Ireland, Kenneth F. |t Elements of number theory. |4 ant | |
| 084 | |a 11-01 (11-02) |2 msc2000 |9 2000 | ||
| 010 | |a 90009848 | ||
| 859 | |h 11 |i Ir65 |p A-6523 |b BIB. MATEMATICA | ||
| 859 | |h 11 |i Ir65 |p A-6570 |t Ej. 2 |b BIB. MATEMATICA | ||
| 859 | |h 11 |i Ir65 |p A-7987 |t Ej. 3 |b BIB. MATEMATICA | ||