Introduction to Modern Number Theory

by: Yuri Ivanovic Manin Alexei A. Panchishkin

The present book is a new revised and updated version of “Number Theory
I. Introduction to Number Theory” by Yu.I.Manin and A.A.Panchishkin, appeared
in 1989 in Moscow (VINITI Publishers) [Ma-PaM], and in English
translation [Ma-Pa] of 1995 (Springer Verlag).
The original book had been conceived as a part of a vast project, “Encyclopaedia
of Mathematical Sciences”. Accordingly, our task was to provide
a series of introductory essays to various chapters of number theory, leading
the reader from illuminating examples of number theoretic objects and
problems, through general notions and theories, developed gradually by many
researchers, to some of the highlights of modern mathematics and great, sometimes
nebulous designs for future generations.