Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical re…
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical re…
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical re…
An exciting approach to the history and mathematics of number theory & ldquo;. . . the author & rsquo;s style is totally lucid and very easy to read . . .the result is indeed a wonderful story. & rdquo; & mdash; Mathematical Reviews Written in a unique and accessible style for r…
From Fermat to Gauss -- Class field theory -- Complex multiplication -- Additional topics.
"Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat's work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic …
"Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat's work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic …
An exciting approach to the history and mathematics of number theory ". . . the author's style is totally lucid and very easy to read . . .the result is indeed a wonderful story." {u2013} Mathematical Reviews Written in a unique and accessible style for readers of varied mathema…
The basic question of the whole book, which we formulate as follows: Basic Question 0.1. Given a positive integer n, which primes p can be expressed in the form p = x² + ny² where x and y are integers? This book has several goals. The first, to answer the basic question, has alr…
