Elementary Number Theory, Sixth Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps readers explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professors' feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.
- The lntegers
- lnteger Representaion and Operations
- Primes and Greatest Common Divisors
- Congruences
- Application of Congruences
- Some Special Congruences
- Multplicative Functions
- Cryptology
- Primitive Roots
- Applications of Primitive Roots and the Order of an lnteger
- Quadratic Residues
- Decimal Fractions and Continued Fractions
- Some Nonlinear Diophantine Equations
- The Gaussian Integers