# exterior derivative

(30 minutes to learn)

## Summary

The exterior function is a generalization of the differential of a function to differential forms. It appears in the statement of Stokes's Theorem for manifolds.

## Context

This concept has the prerequisites:

- differential forms (The exterior derivative is an operator on differential forms.)
- partial derivatives (The exterior derivative is defined in terms of partial derivatives.)

## Goals

- Define the exterior derivative of a function and of a differential form

- Show that d(dw) = 0 for any differential form w

- Be able to manipulate exterior derivatives algebraically

## Core resources (read/watch one of the following)

## -Paid-

→ Multivariable Mathematics

A textbook on linear algebra and multivariable calculus with proofs.

Location:
Section 2.2, "Differential forms on R^n and the exterior derivative," pages 339-341

## See also

-No Additional Notes-