A Classical Introduction to Modern Number Theory

Front Cover
Springer-Verlag, 1982 - Number theory - 341 pages
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.

From inside the book

Contents

CHAPTER
1
Proof of the Law of Cubic Reciprocity
4
CHAPTER
14
Copyright

51 other sections not shown

Other editions - View all

Common terms and phrases

Bibliographic information