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...Math week integration along curves march table of contents references arc length n c in r de nition and properties calculation i line integral scalar functions ii vector advanced topics notes comments green s theorem proofs some theorems proof parametrization the cauchy crofton formula more exercises problems basic rst type kind function second brand louis analysis dover publications inc do carmo manfredo p di erential geometry surfaces chapter demidovich b etal mathematical mir publishers moscow section vii efimov e mov a v higher mathematics worked examples with elements theory folland gerald calculus prentice hall olmsted john m h new york appleton century crofts chapters pku shen xiechang shuxuefenxi iii education press pkub lin yuanqu eds shuxuefenxixitiji problem book for ustc he chen shi jihuan xu senlin definition parametrized curve trace aparametrized is continuous mapping x t thevariable called parameter representation xn are let be its image example consider cost sint they t...