A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics, 84)

Ireland, Kenneth

ISBN 10: 1441930949 / ISBN 13: 9781441930941

Edité par Springer, 2010

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Détails bibliographiques

• Titre: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics, 84)
• Éditeur: Springer
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 1441930949
• ISBN à 13 chiffres: 9781441930941
• Reliure: paperback
• État de l'article: New

A propos de ce titre

Synopsis

A CLASSICAL INTRODUCTION TO MODERN NUMBER THEORY is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical developement is stressed throughout, along with wide-ranging coverage of significant results with comparitively elementary proofs, some of them new. This second edition has been corrected and contains two new chapters which 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.

Présentation de l'éditeur

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.