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        <title>Complex analysis： Exp, log, sin, cos | Richard E Borcherds</title>
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        <description>This lecture is part of an online undergraduate course on complex analys We show how to extend the elementary transcendental functions (exp, log, sin, cos, and so on) to complex numbers. In particular we describe Euler's discovery that exponential and trigonometric functions are essentially the same, and give some applications. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN</description>
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