MATH3301/3401 -References

The following references are included only for interest -- you are under no obligation to look at any of them. If you have time to look at only one book, I would recommend William LeVeque's Fundamentals of Number Theory or An Introduction to the Theory of Numbers by Niven, Zuckerman and Montgomery.
References on Cryptography are here.

Introductory texts on Number Theory

Andrews G. E., Number Theory
Archibald R. G., An Introduction to the Theory of Numbers
Beiler A., Recreations in the Theory of Numbers
Burton D. M., Elementary Number Theory
Davenport H., The Higher Arithmetic(7th ed.)
Jones G. A., Elementary Number Theory
LeVeque W., Elementary Theory of Numbers
LeVeque W., Fundamentals of Number Theory
Niven I., Zuckerman H. S., Montgomery H. L., An Introduction to the Theory of Numbers(5th ed.)
Rose H. E., A Course in Number Theory
Silverman J. H., A Friendly Introduction to Number Theory
Tattersall J. J., Elementary Number Theory in Nine Chapters
Weil A., Number Theory: an Approach through History
Weil A., Number Theory for Beginners

Specialised/Advanced texts on Number Theory

Bashmakova I. G., Diophantus and Diophantine Equations
Cohn H., Advanced Number Theory
Dajani K., Kraaikamp C., Ergodic Theory of Numbers
Edwards H. M., Riemann's Zeta Function
Iosifescu M., Kraaikamp C., Metrical Theory of Continued Fractions
Ireland K., Rosen M., A Classical Introduction to Modern Number Theory
Jameson G. J. O., The Prime Number Theorem
Khinchin A., Continued Fractions
Khinchin A., Three Pearls of Number Theory
Mazur B., Arithmetic on Curves(A paper in Bull. Amer. Math. Soc., April 1986)
Nathanson M., Elementary Methods in Number Theory
Olds C. D., Lax A., The Geometry of Numbers
Walker J. L., Codes and Curves
Washington L. W., Elliptic Curves: Number Theory and Cryptography

On-line material

On-campus --
Some basic algorithms
Congruent numbers (pdf file)
Cryptography
The Gaussian integers
HCF tables
Jacobi's Symbol
p-adic numbers
Quadratic irrationalities (new)
Quadratic Reciprocity
Serret's method

Off-campus --
ABC conjecture (Abderrahmane Nitaj, Université de Caen)
Continued fractions (Ron Knott, University of Surrey)
Fermat's Last Theorem (University of St Andrews)
The Mathematical Atlas
Number Theory (mathworld)
Number Theory Web (maintained by Keith Matthews)
planetmath.org
MATH3301/3401 home page