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Math Help - Analysis Marsden Question

  1. #1
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    Analysis Marsden Question

    Show that the system of equations
    X1 = (1/4)x1- (1/4)x2 +(2/15)x3 +3
    X2=(1/4)x1 + (1/5)x2 + (1/2)x3-1
    X3 = (-1/4)x1+(1/3)x2-(1/3)x3+2
    Has a unique solution, using the contraction mapping principle. (Hint: Choose a clever norm on R3 or estimate using the Schwarz inequality)
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  2. #2
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    ny
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    Re: Analysis Marsden Question

    by the way are the Marsden texts good? it seems some people like Spivack and Courant because they introduce manifolds earlier
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