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Differential forms : a complement to vector calculus /

Bibliographic Details
Main Author: Weintraub, Steven H (Author)
Format: Book
Language:English
Published: San Diego : Academic Press, [1997]
Subjects:
Differential forms.
Formes différentielles.
Differential forms
Differentialform
Differential equations
Online Access:Table of contents
Table of contents
Table of contents
Publisher description
Table of Contents:
  • The Algebra of Differential Forms
  • Exterior Differentiation
  • The Fundamental Correspondence
  • The Notion of a Manifold (with Boundary)
  • Orientation
  • [Iota]-Forms
  • [Kappa]-Forms
  • Push-forwards and Pull-backs
  • The Integral of a 0-Form over a Point (Evaluation)
  • The Integral of a 1-Form over a Curve (Line Integrals)
  • The Integral of a 2-Form over a Surface (Flux Integrals)
  • The Integral of a 3-Form over a Solid Body (Volume Integrals)
  • Integration via Pull-backs
  • Statement of the Theorem
  • The Fundamental Theorem of Calculus and Its Analog for Line Integrals
  • Green's and Stokes's Theorems
  • Gauss's Theorem
  • Proof of the GST
  • Differential Forms in R[superscript eta] and Poincare's Lemma
  • Manifolds, Tangent Vectors, and Orientations
  • The Basics of de Rham Cohomology
  • Appendix: Why Does a Mirror Reverse Left and Right?