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

Ireland, Kenneth; Rosen, Michael

ISBN 10: 1441930949 / ISBN 13: 9781441930941

Published by Springer, 2010

About this Item

Seller Inventory # I-9781441930941

Bibliographic Details

• Title: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics, 84)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 1441930949
• ISBN 13: 9781441930941
• Binding: Soft cover
• Condition: New

About this title

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.

Review

From the reviews of the second edition:

K. Ireland and M. Rosen

A Classical Introduction to Modern Number Theory

"Many mathematicians of this generation have reached the frontiers of research without having a good sense of the history of their subject. In number theory this historical ignorance is being alleviated by a number of fine recent books. This work stands among them as a unique and valuable contribution."

― MATHEMATICAL REVIEWS

"This is a great book, one that does exactly what it proposes to do, and does it well. For me, this is the go-to book whenever a student wants to do an advanced independent study project in number theory. ... for a student who wants to get started on the subject and has taken a basic course on elementary number theory and the standard abstract algebra course, this is perfect." (Fernando Q. Gouvêa, MathDL, January, 2006)