Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular andimportant topic of cryptography, integrating it with traditional topics in number theory.
Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular andimportant topic of cryptography, integrating it with traditional topics in number theory.
Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School. Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland.
Inhaltsangabe
20 1. Introduction 2 Divisibility 3. Linear Diophantine Equations 4. Unique Factorization 5. Applications of Unique Factorization 6. Conguences 7. Classsical Cryposystems 8. Fermat, Euler, Wilson 9. RSA 10. Polynomial Congruences 11. Order and Primitive Roots 12. More Cryptographic Applications 13. Quadratic Reciprocity 14. Primality and Factorization 15. Geometry of Numbers 16. Arithmetic Functions 17. Continued Fractions 18. Gaussian Integers 19. Algebraic Integers 20. Analytic Methods, 21. Epilogue: Fermat's Last Theorem Appendices Answers and Hints for Odd-Numbered Exercises Index
