Book:H.E. Rose/A Course in Number Theory/Second Edition

Subject Matter

 * Number Theory

Contents

 * Preface to Second Edition


 * Preface to First Edition


 * 1 Divisibility


 * 2 Multiplicative Functions


 * 3 Congruence Theory


 * 4 Quadratic Residues


 * 5 Algebraic Topics


 * 6 Sums of Squares and Gauss Sums


 * 7 Continued Fractions


 * 8 Transcendental Numbers


 * 9 Quadratic Forms


 * 10 Genera and the Class Group


 * 11 Partitions


 * 12 The Prime Numbers


 * 13 Two Major Theorems on the Primes


 * 14 Diophantine Equations


 * 15 Elliptic Curves: Basic Theory


 * 16 Elliptic Curves: Further Results and Applications


 * Answers and Hints to Problems


 * Tables


 * Bibliography


 * Index of Notation


 * General Index