Elementary Number Theory with Applications

Rating:
Summary: The best Elementary Number Theory textbook for students
Review: I recommend it for all College and University students taking number theory classes.
The book is concise, well documented, easily understandable, up to date with the last developments in the field, and with very nice examples and attractive proposed problems.
I read this textbook without letting if off my hands - like a detective novel or an exciting story.

Rating:
Summary: Excellent book for beginning courses
Review: This book is ideal for an undergraduate course in number theory. The combination of theory, problems and biographical sketches of the principals who made it what it is today is an excellent pedagogical technique. It allows an instructor to show how number theory began very early in mathematical history and how it has progressed over the centuries. Number theory holds the distinction as being the reservoir of most of the easily stated yet difficult problems. As Paul Erdös said, "If it is a simply stated problem that has remained unsolved for centuries, it is almost certainly one in number theory." In this book, you learn the reasons for this situation.
It is also well-suited for anyone with an interest in number theory who wishes to learn more about it. The explanations are well-written and a large number of exercises are included. Solutions to the odd numbered problems are given at the end. Review, supplementary and computer exercises are also included at the end of each chapter. The bulk of the explanatory text consists of examples worked out in complete detail.
This is the book that I would use if I were teaching a course in beginning number theory. It is a complete package, not only demonstrating what is known and unknown, but the path to how it got that way.

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