Description: Developed to support a first course in number theory, this text features the use of algebraic methods for studying arithmetic functions. Unlike most other texts, it emphasizes the algebraic structure of the set of functions under Dirichlet convolution. In Chapter 8 the author presents the Erdos-Selberg proof of the Prime Number Theorem -- an elementary proof that will come as an easy application of methods used earlier in the book. The text also introduces algebraic and geometric number theory -- the former by the study of the Gaussian integers and the Jacobian integers, the latter by the use of geometric methods in the proof of the Quadratic Reciprocity Law and in the proofs of certain asymptotic formulas for summatory functions. The book is most suitable for students who have studied calculus and had an introduction to linear algebra. This inexpensive new edition, augmented by solutions for selected exercises, will be welcomed by math teachers, students, and anyone interested in number theory.

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