THE MATHEMATICS OF GAUSS DAVID SAVITT

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Date: 2007-05-15 15:28:25 Polynomials Euclidean plane geometry Cyclotomic fields Number theory Algebraic number theory Root of unity Heptadecagon Complex number Compass and straightedge constructions Mathematics Abstract algebra Algebra		THE MATHEMATICS OF GAUSS DAVID SAVITT Add to Reading List Source URL: www.math.cornell.edu Download Document from Source Website File Size: 294,59 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
	COMPLEX NUMBERS 5 minute review. Remind students what a complex number is, how to add and multiply them, what the complex conjugate is, and how to do division. They will also need to know that a root of a polynomial f (x DocID: 1tMHT - View Document
	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
	Is The Response in Liberia Succeeding? Positive indications Yaneer Bar-Yam New England Complex Systems institute October 17, 2014 The number of cases of Ebola in West Africa has been growing exponentially, and projection DocID: 1tqhz - View Document