"Mathematics is the queen of the sciences and number theory is the queen of mathematics." - Carl Friedrich Gauss
0. Preface
1. Preliminaries
2. Divisibility Theory in the Integers
3. Primes and Their Distribution
4. The Theory of Congruences
5. Fermat's Theorem
6. Number Theoretic Functions
7. Euler's Generalization of Fermat's Theorem
8. Primitive Roots and Indices
9. The Quadratic Reciprocity Law
10. Introduction to Cryptography
11. Numbers of Special Form
12. Certain Nonlinear Diophantine Equations
13. Representation of Integers as Sums of Squares
14. Fibonacci Numbers
15. Continued Fractions
16. Some Modern Developments
0. Preface
1. Preliminaries
2. Divisibility Theory in the Integers
3. Primes and Their Distribution
4. The Theory of Congruences
5. Fermat's Theorem
6. Number Theoretic Functions
7. Euler's Generalization of Fermat's Theorem
8. Primitive Roots and Indices
9. The Quadratic Reciprocity Law
10. Introduction to Cryptography
11. Numbers of Special Form
12. Certain Nonlinear Diophantine Equations
13. Representation of Integers as Sums of Squares
14. Fibonacci Numbers
15. Continued Fractions
16. Some Modern Developments