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An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers

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.

Table of Contents

  • 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

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About the Contributors

Author

Leo Moser

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