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Introduction to number theory with cryptography / James S. Kraft and Lawrence C. Washington.

By: Contributor(s): Material type: TextTextPublication details: Boca Raton : CRC Press, c2014.Description: xviii, 554 p. ; 25 cmISBN:
  • 9781482214413 (hdbk. : acidfree paper)
Subject(s): DDC classification:
  • 512.7 23 K89
Contents:
1. Divisibility -- 2. Unique factorization -- 3. Applications of unique factorization -- 4. Congruences -- 5. Cryptographic applications -- 6. Polynomial congruences -- 7. Order and primitive roots -- 8. More cryptographic applications -- 9. Quadratic reciprocity -- 10. Primality and factorization -- 11. Geometry of numbers -- 12. Arithmetic functions -- 13. Continued fractions -- 14. Gaussian integers -- 15. Algebraic integers -- 16. Analytic methods -- 17. Epilogue : Fermat's last theorem -- A Supplementary topics -- B. Answers and hints for odd-numbered exercises -- Index.
Summary: An Introduction to Number Theory with Cryptography presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage.
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Includes bibliographical references and index.

1. Divisibility --
2. Unique factorization --
3. Applications of unique factorization --
4. Congruences --
5. Cryptographic applications --
6. Polynomial congruences --
7. Order and primitive roots --
8. More cryptographic applications --
9. Quadratic reciprocity --
10. Primality and factorization --
11. Geometry of numbers --
12. Arithmetic functions --
13. Continued fractions --
14. Gaussian integers --
15. Algebraic integers --
16. Analytic methods --
17. Epilogue : Fermat's last theorem --
A Supplementary topics --
B. Answers and hints for odd-numbered exercises --
Index.

An Introduction to Number Theory with Cryptography presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage.

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