This undergraduate textbook is meant basically for a transition direction into greater arithmetic, even though it is written with a broader viewers in mind.  the center and soul of this booklet is challenge fixing, the place every one challenge is thoroughly selected to explain an idea, exhibit a strategy, or to enthuse.  The workouts require quite broad arguments, artistic techniques, or either, hence supplying motivation for the reader.  With a unified method of a various number of issues, this article issues out connections, similarities, and ameliorations between topics each time possible.  This publication exhibits scholars that arithmetic is a colourful and dynamic human firm through together with ancient views and notes at the giants of arithmetic, through pointing out present job within the mathematical group, and by means of discussing many recognized and no more recognized questions that stay open for destiny mathematicians.

Ideally, this article can be used for a semester path, the place the 1st path has no necessities and the second one is a more difficult path for math majors; but, the versatile constitution of the ebook permits it for use in various settings, together with as a resource of assorted independent-study and learn projects.