ISU Department of Mathematics

Gladly We Learn and Teach

Elementary Abstract Algebra

 

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Title

Project Description

RSA code

Public key encryption 

Quaternions

Derive vector operations from quaternion operations; historical perspective

Constructions with straightedge and compass

Euclidean geometry, polynomial arithmetic, irreducibility of rational polynomials

Construction of real numbers from rationals

Dedekind cuts

How many factors?

The number of factors of an integer; when is it a square?

Cardinality

An opportunity to introduce cardinality, and answer questions such as: how many real numbers are there? How many polynomials with integer coefficients?

All horses are the same color

What’s wrong with this induction proof?