An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers

By Leo Moser
Book Description

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.

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Table of Contents
  • An Introduction to the Theory of Numbers
  • Terms and Conditions
  • Contents
  • Preface
  • 1 Compositions and Partitions
  • 2 Arithmetic Functions
  • 3 Distribution of Primes
  • 4 Irrational Numbers
  • 5 Congruences
  • 6 Diophantine Equations
  • 7 Combinatorial Number Theory
  • 8 Geometry of Numbers
  • Classical Unsolved Problems
  • Miscellaneous Problems
  • Unsolved Problems and Conjectures
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