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picture1_Surface Integral Pdf 169691 | Lecture38


picture2_Surface Integral Pdf 169691 | Lecture38 picture3_Surface Integral Pdf 169691 | Lecture38

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File: Surface Integral Pdf 169691 | Lecture38
1 Lecture 38: Stokes’ Theorem AsmentionedinthepreviouslectureStokes’theoremisanextensionofGreen’stheoremtosurfaces. Green’s theorem which relates a double integral to a line integral states that RR ³∂N − ∂M´dxdy ...

icon picture PDF Filetype PDF | Posted on 26 Jan 2023 | 2 years ago

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...Lecture stokes theorem asmentionedinthepreviouslecturestokes theoremisanextensionofgreen stheoremtosurfaces green s which relates a double integral to line states that rr n m dxdy h mdx ndy x y c d where is plane region enclosed by simple closed curve surface we rst rewrite in dierent form as mentioned the previous consider vector eld f r dened i j then curlf k therefore stated follows dr wewill extend this of on having boundary need following denitions smooth let u v be parametric parameter domain t say if and are continuous never zero level z said have already seen vectors normals respectively orientable there exists unit normal function at each point basically oriented orienting its manner practice an with two sides for example spheres planes paraboloids surfaces obious strip not one sided will dealing only see figure since has side respect corresponding dene orientation evaluate involved w formally suppose map parameterdomaint considertheunitnormaln kr assume counterclockwise direc...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 26 Jan 2023 | 2 years ago
										
										
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