Kenneth Ireland, Michael Rosen - A Classical Introduction to Modern Number Theory (2nd edition)
Published: 1998-08-01 | ISBN: 038797329X, 354097329X, 1441930949 | PDF + DJVU | 394 pages | 11.76 MB
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.