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Complex Analysis: Holomorphic functions are just rotations and dilations up to the first order.
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Calculus: Differentiation is approximation by a linear map.
Complex Analysis: Holomorphic functions just rotations and dilations up to the first order.
Complex Analysis: Holomorphic functions locally just rotations and dilations up to the first order.
Complex Analysis: Holomorphic functions locally just rotations and dilations.
