A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Although it was in print for a short time only, the original edition of Multiplicative Number Theory had a major impact on research and on young mathematicians.
Topics in Multiplicative Number Theory
For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS
Natural numbers are the oldest human invention. This book describes their nature, laws, history and current status. It has seven chapters.
The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.
Number theory was once famously labeled the queen of mathematics by Gauss.
With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.
But this book isn't a "course" in the traditional sense.
A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind ...
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century.