Some characteristics and its applications of the exterior derivative and exterior algebra (Q2735302)
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scientific article; zbMATH DE number 1640318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some characteristics and its applications of the exterior derivative and exterior algebra |
scientific article; zbMATH DE number 1640318 |
Statements
4 November 2001
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Green theorem
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Stokes theorem
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Gauss theorem
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exterior algebra
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exterior product
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exterior differential form
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determinant
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Laplace expansion
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multiple integrals
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Some characteristics and its applications of the exterior derivative and exterior algebra (English)
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This article gives a brief introduction to the concepts of the exterior algebra, exterior product and exterior differential form, and their applications to linear algebra and advanced calculus. In particular, the former two are applied to the computation of the matrix determinant including its Laplace expansion formula, while the latter to the illustration of the change-of-variable formula in multiple integrals, exact differential forms and the theorems of Green, Stokes and Gauss. All these are standard materials.
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