A classical introduction to modern number theory
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.
22 pages matching Bernoulli numbers in this book
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Review: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (v. 84)User Review - Joecolelife - Goodreads
The book is great. The problems are fun and interesting, and the book gradually generalizes which makes the abstraction easier to conceptualize. If you need something with tons of really baisc ... Read full review
Review: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (v. 84)User Review - Goodreads
I just read the chapter about the elliptic curve y^2 = x^3 + Dx, it was pretty good.