A Classical Introduction to Modern Number Theory

Name: A Classical Introduction to Modern Number Theory
Author: Kenneth Ireland

Specificaties

Paperback, 394 blz. | Engels

Springer | 2e druk, 2010

ISBN13: 9781441930941

Rubricering

Hoofdrubriek : Diversen

Springer 2e druk, 2010 9781441930941

Onderdeel van serie Graduate Texts in Mathematics

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Samenvatting

This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

Specificaties

ISBN13:9781441930941

Taal:Engels

Bindwijze:paperback

Aantal pagina's:394

Uitgever:Springer

Druk:2

Verschijningsdatum:1-12-2010

Hoofdrubriek:Diversen

Serie:Graduate Texts in Mathematics

Inhoudsopgave

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.