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picture1_Calculus Pdf 170290 | 503 268


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File: Calculus Pdf 170290 | 503 268
J. Math. Study Vol. 50, No. 3, pp. 268-276 doi: 10.4208/jms.v50n3.17.04 September2017 OntheChangeofVariablesFormulafor MultipleIntegrals 1,∗ 2 ShiboLiu andYashanZhang 1 Department of Mathematics, Xiamen University, Xiamen ...

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

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...J math study vol no pp doi jms vn september onthechangeofvariablesformulafor multipleintegrals shiboliu andyashanzhang department of mathematics xiamen university p r china macau receivedjanuary accepted revised may abstract wedevelopanelementaryproofofthechangeofvariablesformulainmulti ple integrals our proof is based on an induction argument assuming the formula for m we dene integral over hypersurface in rm establish diver genttheoremandthenusethedivergenttheoremtoprovetheformulaform addition to its simplicity advantage approachis that it yields brouwer fixed point theorem as a corollary amssubjectclassications b keywords changeofvariables surfaceintegral divergenttheorem cauchy binetformula introduction thechangeofvariables multiple fundamental mul tivariable calculus can be stated follows let d and bounded open domains with piece wise c boundaries suchthat disac diffeomorphism if f then z df y dy x dx where det jacobian determinant at usual proofs this one nds advanced textbooks v...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 26 Jan 2023 | 2 years ago
										
										
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