Engineering↗
Rational Function Fields and Algebraic Curves
How rational functions form fields, how algebraic curves acquire function fields, and why the function-field viewpoint gives a coordinate-independent way to study curves.
Every page in the KEVOS library tagged parametrisation. 2 pages.
How rational functions form fields, how algebraic curves acquire function fields, and why the function-field viewpoint gives a coordinate-independent way to study curves.
Cyclic cubic and pure cubic fields as parametrised families, with closed-form invariants that avoid general algorithms.