Title Statements
- Full title :Differential forms : a complement to vector calculus / Steven H. Weintraub.
Edition Statements
- Publication Date:©1997.
Publication Statements
- Publisher(s):Academic Press
- Place of Publication:San Diego
- Language:eng
- Publication Date:©1997.
Notes
Includes index.
The Physical Object
- Description:xii, 256 pages : : illustrations ; : 23 cm
Edition Identifiers
- ISBN:0127425101, 9780127425108
- oclc:ocm34191601
- LC Classification:QA381
- Dewey Decimal:515/.37
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?
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