A Classical Introduction to Modern Number Theory

Ireland, Kenneth F.;Rosen, Michael I.

ISBN 10: 0387906258 / ISBN 13: 9780387906256

Published by Springer-Verlag, 1982

About this Item

hardback book in very good condition.

Seller Inventory # 127461

Bibliographic Details

• Title: A Classical Introduction to Modern Number Theory
• Publisher: Springer-Verlag
• Publication Date: 1982
• Language: English
• ISBN 10: 0387906258
• ISBN 13: 9780387906256
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Very Good
• Seller catalogs:
  • Science
  • technical
  • mathematics

About this title

Synopsis

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.

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)