A Classical Introduction to Modern Number Theory: Vol 84 (Graduate Texts in Mathematics) - Tapa dura

Bridging the gap between elementary number theory and the systematic study of advanced topics. This text requires a familiarity with basic abstract algebra. Historical development is stressed throughout, along with coverage of significant results with comparatively elementary proofs, some of them new. An bibliography and several exercises are also included and this edition offers two new chapters that give a complete proof of Mordell's fundamental theorem and an overview of Flating's proof of the Mordell conjecture. Also included is material on the recent progress on the arithmetic of elliptic curves.