Rosen K.H. Elementary Number Theory And Its Applications

5th ed. — Addison Wesley, 2004. — 744 pages.Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises. Instructor's Solutions Manual to accompany Elementary Number Theory And Its ApplicationsThe Integers.
Integer Representations and Operations.
Primes and Greatest Common Divisors.
Congruences.
Applications of Congruences.
Some Special Congruences.
Multiplicative Functions.
Cryptology.
Primitive Roots.
Applications of Primitive Roots and the Order of an Integer.
Quadratic Residues.
Decimal Fractions and Continued Fractions.
Some Nonlinear Diophantine Equations.
The Gaussian Integers.