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.
The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years.
2: Integer Representations and Operations
3: Primes and Greatest Common Divisors
5: Applications of Congruences
6: Some Special Congruences
7: Multiplicative Functions
9: Primitive Roots
10: Applications of Primitive Roots and the Order of an Integer
14: Quadratic Residues
12: Decimal Fractions and Continued Fractions
13: Some Nonlinear Diophantine Equations
14: The Gaussian Integers
Appendix A: Axioms for the Set of Integers
Appendix B: Binomial Coefficients