Titlebook: Algebraic Curves and Riemann Surfaces for Undergraduates; The Theory of the Do Anil Nerode,Noam Greenberg Textbook 2022 The Editor(s) (if a

公共汽車

奇怪

Failure Cause Analysis of Machine ToolsThis chapter sketches the historical development of elliptic functions.

Frisky

nascent

冥界三河

Regurgitation

一大群

TangentsTangents of both affine and projective algebraic curves. These are related to multiplicity of intersection of lines with curves, and the notion of singular points, and the order (multiplicity) of a point on a curve.

洞穴

Bézout’s TheoremDefining intersection multiplicity of two curves at a point. Two definitions are given: one is used to show geometric invariance of intersection multiplicity, the other is conceptually simpler. A “categoricity” property of intersection multiplicity is then used for quick computations.

impaction

The Elliptic GroupA study of flexes (points of inflection), using the Hessian curve. Defining the group operation on a nonsingular cubic curve, and showing that it is associative. Normal forms for elliptic curves.

justify