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Date: 2006-12-03 02:10:19 Complex dynamics Complex number Branch point Complex plane Holomorphic function Pierre Fatou Julia set Mathematical analysis Complex analysis Fractals		Add to Reading List Source URL: www.math.nsysu.edu.tw Download Document from Source Website File Size: 117,90 KB Share Document on Facebook

	QUATERNION ALGEBRAS KEITH CONRAD 1. Introduction A complex number is a sum a+bi with a, b ∈ R and i2 = −1. Addition and multiplication are given by the rules DocID: 1v0QV - View Document
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	EULER’S RELATION 5 minute review. Review Euler’s relation, eiθ = cos θ + i sin θ, commenting briefly on how it follows from the Maclaurin series of exp, sin and cos. Discuss how this means that any complex number DocID: 1tFGt - View Document
	THE ARGAND DIAGRAM 5 minute review. Review the argand diagram (aka argand plane, aka complex plane), the modulus and argument and the polar form of a complex number as z = r(cos θ + i sin θ). Also cover the geometric DocID: 1tB8n - View Document
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