Number Theory with Computer Applications

By Ramanujachary Kumanduri, Christina Romero

Published by Pearson

Published Date: Aug 4, 1997

Table of Contents



 1. Introduction.


 2. Divisibility and Primes.


 3. Modular Arithmetic.


 4. Fundamental Theorems of Modular Arithmetic.


 5. Cryptography.


 6. Primality Testing and Factoring.


 7. Primitive Roots.


 8. Applications.


 9. Quadratic Congruences.


10. Applications.


11. Continued Fractions.


12. Factoring Methods.


13. Diophantine Approximations.


14. Diophantine Equations.


15. Arithmetical Functions and Dirichlet Series.


16. Distribution of Primes.


17. Quadratic Reciprocity Law


18. Binary Quadratic Forms.


19. Elliptic Curves.


Appendix A: Mathematical Induction.


Appendix B: Binomial Theorem.


Appendix C: Algorithmic Complexity and O-notation.


Answers and Hints.


Index of Notation.


Index.

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Number Theory with Computer Applications

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