** Instructor: **
Ching-Li Chai

*Office*: DRL 4N36, Ext. 8-8469.

*Office Hours*: MW 11:00-11:50.

Email:`chai@sas.upenn.edu`

Suggested Readings and Home Work Assignments

**Lectures**: MWF 1--2 PM, DRL 4C2.

First meeting: Monday, January 10, 2005.

- Course description

- There will be an
**in-class midterm**, as well as a**report/presentation**at the end of the semester.

**Textbook**: Kenneth Rosen,*Elementary Number Theory*, Addison Wesley, 5th edition, 2005.

**Final Exam**: Tuesday, May 3, 11-1, DRL A5.

**Some References**:- G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers,
5th ed., Oxford University Press, Oxford, 1979.
A classic, and a wonderful introduction to analytic number theory.

- E. Landau,
*Foundations of Analysis*, Chelsea, 1960. Delightful treatment of the construction of integers, rational numbers and real numbers, from the Peano axioms.

- E. Landau,
*Elementary Number Theory*, Chelsea, 1958. English translation of Landau's famous*Elementare Zahlentheorie*. It gives a succinct treatment of number theory, including some advanced topics such as the class number formula for quadratic fields.

- Douglas Stinson, Cryptography,
Theory and Practice, second edition,
Chapman and Hall/CRC, 2002,

- Wade Trappe and Lawrence Washington,
Introduction to Cryptography
with Coding Theory, Prentice Hall, 2003.

- A. Weil,
*Number Theory: An Approach Through History : From Hammurapi to Legendre*. Authoritative history of number theory by a master.

- Douglas Stinson, Cryptography,
Theory and Practice, second edition,
Chapman and Hall/CRC, 2002, and

- Bruce Schneier, Applied
Cryptography, second edition, John Wiley & Sons, 1996.

- G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers,
5th ed., Oxford University Press, Oxford, 1979.
A classic, and a wonderful introduction to analytic number theory.

Suggested Readings and Home Work Assignments

- The Number
Theory Web

- The primes page

- National
Institute of Standards and Technology, Computer Security Resource Center

- Frequently
Asked Questions About Today's Cryptography, from RSA Lab

- cryptography
pointers

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