Engineering↗
Composition of Binary Quadratic Forms
Gauss composition as the group law on form classes, its practical computation, and reduction between compositions.
Every page in the KEVOS library tagged Group Law. 4 pages.
Gauss composition as the group law on form classes, its practical computation, and reduction between compositions.
What an elliptic curve is, why the group structure exists, and the three distinct roles curves play in this collection.
The chord-and-tangent addition law, its explicit formulas, and the coordinate systems that avoid inversion.
Weierstrass forms, the discriminant and j-invariant, the group law with explicit formulas, torsion, and the structure of the group of points over finite fields.