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I am trying to understand the method of steepest descent (complex integral). I looked in some complex analysis books and also on Wikipedia, but I still don't understand the methodology of approximating such integrals nor the name of this method. Could someone give me a step by step example and a way to visualize it?

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    Related post on Phys.SE: http://physics.stackexchange.com/q/14639/24512014-11-15
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    Example: http://math.stackexchange.com/q/777773/111272014-11-15

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