Elementary Number Theory and Its Applications & Solutions Manual, 6th Edition

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.

Table of Contents

Chapter 1. The Integers
Chapter 2. Integer Representations and Operations
Chapter 3. Primes and Greatest Common Divisors
Chapter 4. Congruences
Chapter 5. Applications of Congruences
Chapter 6. Some Special Congruences
Chapter 7. Multiplicative Functions
Chapter 8. Cryptology
Chapter 9. Primitive Roots
Chapter 10. Applications of Primitive Roots and the Order of an Integer
Chapter 11. Quadratic Residues
Chapter 12. Decimal Fractions and Continued Fractions
Chapter 13. Some Nonlinear Diophantine Equations
Chapter 14. The Gaussian Integers

Appendix A. Axioms for the Set of Integers
Appendix B. Binomial Coefficients
Appendix C. Using Maple and Mathematica for Number Theory