A Quick and Dirty Introduction to Exterior Calculus — Part I: Vectors and 1-Forms

(Original author Keenan Crane) Many important concepts in differential geometry can be nicely expressed in the language of exterior calculus. Initially these concepts will look exactly like objects you know and love from vector calculus, and you may question the value of giving them funky new names. For instance, scalar fields are no longer called scalar fields, … Continue reading A Quick and Dirty Introduction to Exterior Calculus — Part I: Vectors and 1-Forms