Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.
While specifically meaning to teach tricks of problem-solving based on how many competition problems are posed, a byproduct of reading this book is a wide introduction to topics of elementary number theory. Undergraduates struggling with this area, or any interested reader, will benefit from following through this book’s examples and exercises.