Picture of linear transformation

620-142 Mathematics B

First Semester, 2008

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620-142 Contents

Interesting Links

You may find the following links to be of use during semester.

Modular arithmetic:

Some online references

http://en.wikipedia.org/wiki/Modular_arithmetic
http://www.cut-the-knot.org/blue/Modulo.shtml
General article on primes

Online tutorials from University of Saskatchewan (these seem to work best with Internet Explorer).
Have a look at Number Theory 1 & 2, Encryption 1 & 2.

http://www.cs.usask.ca/resources/tutorials/csconcepts/index.html

A very good collection of material on the history of mathematics:

History of Mathematics archive

Mathematical Induction:

Some online tutorials:

http://www.otal.umd.edu/drweb/induction/tutorial.html (Try lessons 1 and 2)
http://www.themathpage.com/aPreCalc/mathematical-induction.htm
http://www.acts.tinet.ie/induction_645.html

Cryptography:

BBC webpage on the enigma code

Breaking Germany's Enigma Code

An introduction to Cryptography with applets for RSA encryption/decryption:

http://williamstallings.com/Crypt-Tut/Crypto%20Tutorial%20-%20JERIC.html

Some other references


http://en.wikipedia.org/wiki/RSA
Prime Number Hide-and-Seek: How the RSA Cipher Works
General article on Public Key Codes

The RSA Factoring Challenge

http://www.rsasecurity.com/rsalabs/node.asp?id=2092

Shor's Algorithm for factorization (using a quantum computer):

http://en.wikipedia.org/wiki/Shors_algorithm

Linear algebra:

If you feel that you need to revise solutions of linear equations try the following:

http://www.tutor.ms.unimelb.edu.au/frame.html

There are online tutorials on linear algebra from Harvey Mudd College at:

http://www.math.hmc.edu/calculus/tutorials/

This web site has two games which are applications of linear algebra:

http://aix1.uottawa.ca/~jkhoury/game.html

Linear Transformations:

http://www.7stones.com/Homepage/Publisher/linAlgMenu.html

Coding Theory:

The following web sites contains some interesting background on coding theory:

Barry Cipra, The Ubiquitous Reed-Solomon Codes
Richard Pinch, Coding theory: the first 50 years