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Number Theory with Computer Applications / Edition 1

Number Theory with Computer Applications / Edition 1

by Ramanujachary Kumanduri, Christina Romero


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Number Theory with Computer Applications / Edition 1

This book effectively integrates computing concepts into the number theory curriculum using a heuristic approach and strong emphasis on rigorous 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 in the undergraduate curriculum.

Product Details

ISBN-13: 9780138018122
Publisher: Pearson
Publication date: 08/18/1997
Series: Featured Titles for Number Theory Series
Edition description: New Edition
Pages: 543
Product dimensions: 6.37(w) x 8.97(h) x 1.18(d)

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.


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