A classical introduction to modern number theory Kenneth Ireland, Michael Rosen.
Series Graduate texts in mathematics ; 84Detalles de publicación: New York Springer-Verlag c1990.Edición: 2nd edDescripción: xiv, 389 pISBN:- 038797329X
- 512.7 20
- QA241 .I667 1990
| Imagen de cubierta | Tipo de ítem | Biblioteca actual | Biblioteca de origen | Colección | Ubicación en estantería | Signatura topográfica | Materiales especificados | Info Vol | URL | Copia número | Estado | Notas | Fecha de vencimiento | Código de barras | Reserva de ítems | Prioridad de la cola de reserva de ejemplar | Reservas para cursos | |
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| Libro | Biblioteca Encarnación Valdés Colección General bev | 512.7 I65c2 (Navegar estantería(Abre debajo)) | Disponible | 80000001201147 |
Descripciones mejoradas de Syndetics:
Bridging the gap between elementary number theory and the systematic study of advanced topics,A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.
Includes bibliographical references (p. 375-384) and index.
Tabla de contenidos provista por Syndetics
- 1 Unique Factorization
- 2 Applications of Unique Factorization
- 3 Congruence
- 4 The Structure of U
- 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