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.