An Introduction to the Theory of Numbers
Leo Moser
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Chapter 1. Compositions and Partitions -- Chapter 2. Arithmetic Functions -- Chapter 3. Distribution of Primes -- Chapter 4. Irrational Numbers -- Chapter 5. Congruences -- Chapter 6. Diophantine Equations -- Chapter 7. Combinatorial Number Theory -- Chapter 8. Geometry 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.