Maths EE ideas library
Maths Extended Essay ideas: algebra and abstract structures
Groups, polynomials, matrices and the structures behind symmetry and equations. These essays reward careful definitions and clean proofs.
Algebra and abstract structures ideas (8)
- The group theory of a twisty puzzleAlgebraAmbitious
- Classifying frieze patternsAlgebraSolid
- Solving the cubic: Cardano's method and its paradoxAlgebraSolid
- Fibonacci numbers by matrices and eigenvaluesAlgebraSolid
- Rotating in 3D with quaternionsAlgebraAmbitious
- Roots of unity and regular polygonsAlgebraSolid
- Latin squares and group tablesAlgebraSolid
- When solving linear systems goes wrongAlgebraSolid
Frequently asked questions
Is algebra and abstract structures a good area for a maths EE?
It can be, if you narrow it to one question you can answer with mathematics you understand. Define every structure you use and work examples by hand before you generalise. Examiners look for understanding of the definitions, not a summary of a textbook chapter.
Can I use one of these research questions as it is?
Use it as a starting point. Change the case, the comparison or the limit until the question is your own, and agree it with your supervisor.
Other areas: Number theory · Analysis & calculus · Geometry · Probability · Statistics · Modelling · Graph theory · Codes & algorithms · Optimisation & games · History of maths