10. Stokes' Theorem

  1. Mustafa A. Akcoglu1,
  2. Paul F. A. Bartha2 and
  3. Dzung M. Ha3

Published Online: 23 AUG 2011

DOI: 10.1002/9781118164587.ch10

Analysis in Vector Spaces: A Course in Advanced Calculus

Analysis in Vector Spaces: A Course in Advanced Calculus

How to Cite

Akcoglu, M. A., Bartha, P. F. A. and Ha, D. M. (2009) Stokes' Theorem, in Analysis in Vector Spaces: A Course in Advanced Calculus, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118164587.ch10

Author Information

  1. 1

    University of Toronto

  2. 2

    University of British Columbia

  3. 3

    Ryerson University

Publication History

  1. Published Online: 23 AUG 2011
  2. Published Print: 20 JAN 2009

ISBN Information

Print ISBN: 9780470148242

Online ISBN: 9781118164587

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Keywords:

  • Stokes' theorem;
  • flows;
  • Flux;
  • Jordan set;
  • vector field

Summary

This chapter contains sections titled:

  • Basic Stokes' Theorem

  • Flows

  • Flux and Change of Volume in a Flow

  • Exterior Derivatives

  • Regular and Almost Regular Sets

  • Stokes' theorem on Manifolds