Advanced calculus : vector analysis, volume II / Tunc Geveci.

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Bibliographic Details
Main Author: Geveci, Tunc (Author)
Format: eBook
Language:English
Published: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2016.
Subjects:
Online Access:Click for online access
Table of Contents:
  • 1. Using surface integrals
  • Surface area
  • Surface integrals of scalar functions
  • Flux integrals
  • Alternative notations and some proofs (optional).
  • 2. Understanding and using Green's theorem
  • Green's theorem in simply connected regions
  • Green's theorem in multiply connected regions
  • Interpretations of Green's theorem
  • Irrotational and incompressible flow
  • Sufficient conditions for the existence of a potential function.
  • 3. Understanding and using Stoke's theorem
  • The meaning and plausibility of Stokes' theorem
  • A plausibility argument for Stokes' theorem (optional).
  • 4. Understanding and using Gauss' theorem
  • The meaning and plausibility of Gauss' theorem
  • A plausibility argument for Gauss' theorem (optional).