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Unformatted text preview: * ( ) = ( 1 2 2 1 ) dz( 1 3 3 1 ) dy + ( 2 3 3 2 ) dx , * [ ( * )] = 1 1 + 2 2 + 3 3 , or * ( ) = , * [ ( * )] = . 3.5.2 Vector Analysis in R 3 ZeroForms. For a 0form f we have ( d f ) i = i f , so that d f = grad f . OneForms. For a 1form = 1 dx + 2 dy + 3 dz we have ( d ) i j = i j j i that is, d = ( 1 2 2 1 ) dx dy + ( 2 3 3 2 ) dy dz + ( 3 1 1 3 ) dz dx . di geom.tex; April 12, 2006; 17:59; p. 88...
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 Spring '10
 Wong
 Algebra, Geometry

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