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What is Number Theory?
1. The Integers 2. Integer Representations and Operations 3. Primes and Greatest Common Divisors 4. Congruences 5. Applications of Congruences 6. Some Spectial Congruences 7. Multiplicative Functions 8. Cryptology 9. Primitive Roots 10. Applications of Primitive Roots and the Order of and Integer 11. Quadratic Residues 12. Decimal Fractions and Continued Fractions 13. Some onlinear Diophantine Equations Appendix A. Axioms for the Set of Integers Appendix B. Binomial Coefficients Appendix C. Using Maple and Mathematica for Number Theory Appendix D. Number Theory Web Links Appendix E. Tables Answers to Odd-Numbered Exercises Bibliography |