A Classical Introduction to Modern Number Theory

Graduate Texts in Mathematics #84

by Kenneth F. Ireland, Michael I. Rosen

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.

Genres: Mathematics, Number Theory, Textbooks, Science, Reference, Nonfiction, Algebra

408 pages, Hardcover

First published January 1, 1982

Reviews

[Lixin · Rating 4 out of 5]

Book takes too long. First chapters are fairly accessible, for a graduate level text.

[Dan · Rating 4 out of 5]

I just read the chapter about the elliptic curve y^2 = x^3 + Dx, it was pretty good.

[Lulu]

Number Theory