Chapter 3 — Abstract Algebra
galois-theory.html
Fermat’s Last Theorem — From Scratch
Fermat’s Last Theorem
Index of Helion demos
Chapter 1 — Basics
Basic set & number theory
Basic calculus & complex analysis
Chapter 2 — Linear Algebra
Linear algebra
Matrices, linear systems, and determinants
Vector spaces, basis, and dimension
Linear transformations, eigenvalues, inner products, and the spectral theorem
Optional further context — Matrix exponentials, determinants, and Lie algebras
Chapter 3 — Abstract Algebra
Abstract algebra
Groups, Homomorphisms, and Group Actions
Rings, Fields, Ideals, and Unique Factorization
galois-theory.html
chapter-3/galois-representations.qmd
chapter-3/p-adic.qmd
Chapter 4 — Elliptic Curves
chapter-4/projective-geometry.qmd
chapter-4/group-law.qmd
chapter-4/reduction-mod-p.qmd
chapter-4/torsion-points.qmd
chapter-4/invariants.qmd
Chapter 5 — Modular Forms
chapter-5/eta-function.qmd
chapter-5/spaces-modular-forms.qmd
chapter-5/hecke-operators.qmd
chapter-5/l-functions.qmd
Chapter 6 — The Endgame
chapter-6/four-clues.qmd
chapter-6/modularity-theorem.qmd
chapter-6/serre-ribet-frey.qmd
chapter-6/final-proof.qmd
Chapter 3 — Abstract Algebra
galois-theory.html
Rings, Fields, Ideals, and Unique Factorization