5. Integration over Regions in Several Dimensions
Published Online: 15 AUG 2011
DOI: 10.1002/9781118033234.ch5
Copyright © 1988 John Wiley & Sons, Inc. All rights reserved.
Book Title
Differential and Integral Calculus, Volume 2
Additional Information
How to Cite
Courant, R. and McShane, E. J. (1988) Integration over Regions in Several Dimensions, in Differential and Integral Calculus, Volume 2, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118033234.ch5
Publication History
- Published Online: 15 AUG 2011
- Published Print: 9 FEB 1988
Book Series:
ISBN Information
Print ISBN: 9780471608400
Online ISBN: 9781118033234
- Summary
- Chapter
Keywords:
- line integrals;
- integration;
- integral theorems;
- surface integrals;
- Gauss's theorem
Summary
This chapter contains sections titled:
Line Integrals
Connexion between Line Integrals and Double Integrals in the Plane. (The Integral Theorems of Gauss, Stokes, and Green)
Interpretation and Applications of the Integral Theorems for the Plane
Surface Integrals
Gauss's Theorem and Green's Theorem in Space
Stokes's Theorem in Space
The Connexion between Differentiation and Integration for Several Variables
Remarks on Gauss's Theorem and Stokes's Theorem
Representation of a Source-free Vector Field as a Curl