Abstract Algebra
All 15 topics on the way, in the order they build on each other.
- Groups, Subgroups and Symmetryages 21 to 22 · on the way
- Homomorphisms, Cosets and Lagrange's Theoremages 21 to 22 · on the way
- Rings, Fields and Their First Propertiesages 21 to 22 · on the way
- Normal Subgroups and Quotient Groupsages 22 to 23 · on the way
- Group Actions, Orbits and the Class Equationages 22 to 23 · on the way
- The Sylow Theorems and Groups of Small Orderages 22 to 23 · on the way
- Ideals and Quotient Ringsages 22 to 23 · on the way
- Polynomial Rings, Irreducibility and Unique Factorisationages 22 to 24 · on the way
- Modules: Linear Algebra Over a Ringages 22 to 24 · on the way
- Field Extensions and Their Degreesages 22 to 24 · on the way
- Group Representations and the Group Algebraages 22 to 23 · on the way
- Maschke's Theorem and Complete Reducibilityages 22 to 23 · on the way
- The Galois Correspondenceages 22 to 24 · on the way
- Characters and the Orthogonality Relationsages 23 to 24 · on the way
- Decomposing a Representation from Its Characterages 23 to 24 · on the way