Recent content by SomeBody

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    Undergrad Apparent counterexample to Cauchy-Goursat theorem (Complex Analysis)

    Yes I think this is the (obvious) answer. I was confused by the definition of ##Ln(z)## with branch cut on the negative real axis. In order to be analytic, a branch cut is necessary (and it does not have to be at##\pi##, its angle can be chosen) but in fact ##Ln(z)## is a multi-valued function...
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    Undergrad Apparent counterexample to Cauchy-Goursat theorem (Complex Analysis)

    I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon...
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    Area surface of revolution (rotating this astroid curve around the x-axis)

    Hello, I am studying arc lengths and areas for parametric curves from the Adams & Essex Calculus book and I am a bit baffled by example 2 in the image attached. I understand the solution in the book where they integrate from t=0 to t=pi/2 (first quadrant) and multiply by two to get the full...