Addison-Wesley / Prentice Hall
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Number Theory with Computer Applications
ISBN-10: 013801812X
ISBN-13: 9780138018122
Publisher: Pearson
Copyright: 1998
Format: Paper; 543 pp
Published: 08/04/1997
Status: Instock
Appropriate for most courses in Number Theory.
This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves—a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem.
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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