1. The Factorization of Integers --; 2. Congruences --; 3. Quadratic Residues --; 4. Properties of Polynomials --; 5. The Distribution of Prime Numbers --; 6. Arithmetic Functions --; 7. Trigonometric Sums and Characters --; 8. On Several Arithmetic Problems Associated with the Elliptic Modular Function --; 9. The Prime Number Theorem --; 10. Continued Fractions and Approximation Methods --; 11. Indeterminate Equations --; 12. Binary Quadratic Forms --; 13. Unimodular Transformations --; 14. Integer Matrices and Their Applications --; 15. p-adic Numbers --; 16. Introduction to Algebraic Number Theory --; 17. Algebraic Numbers and Transcendental Numbers --; 18. Waring's Problem and the Problem of Prouhet and Tarry --; 19. Schnirelmann Density --; 20. The Geometry of Numbers.