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An Introduction to the Theory of Numbers


This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text.

Audience: This book is appropriate for a second undergraduate course in Number Theory, or as an introduction to the subject for beginning graduate students.

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Tags: Numbers, Theory, include, problems, which, Introduction, elementary