Topic: Jacobians and General Substitutions

Mapping a Rectangle onto a Triangle

Linear Substitutions for Elliptic Regions

Sum-and-Difference Substitutions for Symmetric Integrands

Product-And-Ratio Substitutions for Positive Regions

Affine Substitutions for Shifted Solids

A Reliable Setup for General Substitution

Linear Changes of Variables in the Plane

Absolute Jacobians and Orientation

Multiplicity in Noninjective Coordinate Maps

Singular Sets and Valid Coordinate Patches