Gioia A. The Theory of Numbers. An Introduction 2001

Textbook in PDF format

Support text for a first course in number theory features the use of algebraic methods for studying arithmetic functions. Subjects covered include the Erdös-Selberg proof of the Prime Number Theorem, an introduction to algebraic and geometric number theory—the former by studying Gaussian and Jacobian integers, the latter through geometric methods in proving the Quadratic Reciprocity Law and in proofs of certain asymptotic formulas for summatory functions