Book:David M. Burton/Elementary Number Theory/Revised Printing

Subject Matter

 * Number Theory

Contents

 * Preface


 * Chapter 1. Some Preliminary Considerations


 * Chapter 2. Divisibility Theorey in the Integers


 * Chapter 3. Primes and Their Distribution


 * Chapter 4. The Theory of Congruences


 * Chapter 5. Fermat's Theorem


 * Chapter 6. Number Theoretic Functions


 * Chapter 7. Euler's Generalization of Fermat's Theorem


 * Chapter 8. Primitive Roots and Indices


 * Chapter 9. The Quadratic Reciprocity Law


 * Chapter 10. Perfect Numbers


 * Chapter 11. The Fermat Conjecture


 * Chapter 12. Representation of Integers as Sums of Squares


 * Chapter 13. Fibonacci Numbers and Continued Fractions


 * Appendices.
 * The Prime Number Theorem
 * References
 * Suggestions for Further Reading
 * Tables
 * Answers to Selected Problems
 * Index