# Chapter 24: Reducing a Surface Integral to a Multiple Integral and the Jacobian

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## Introduction

Surface integrals are of greatest importance from their power in representing important physical concepts, such as flow of a material or charge, or flux of electric or magnetic fields. We also want to be able to compute them and we show here how this is done.

## Topics

24.1 Conceptual Discussion and Main Result

24.2 Implications for Integrals over Area in the Plane: the Jacobian

24.3 Generalizations to Higher Dimensions

24.4 Volume and Surface Integrals as Single Ordinary Integrals