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Section 1.4 Complex Numbers

# Section 1.4 Complex Numbers - Outline Imaginary Numbers...

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Outline Imaginary Numbers Complex Numbers The Arithmetic of the Complex Numbers The Complex Number System Math 1050 K. J. Platt, Ph.D. Department of Mathematics Snow College Spring 2014

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Outline Imaginary Numbers Complex Numbers The Arithmetic of the Complex Numbers Outline 1 Imaginary Numbers 2 Complex Numbers 3 The Arithmetic of the Complex Numbers Adding and Subtracting Complex Numbers Multiplying Complex Numbers Dividing Complex Numbers
Outline Imaginary Numbers Complex Numbers The Arithmetic of the Complex Numbers Introduction To solve the equation x 2 + 1 = 0 one must find a value for x satisfying x 2 = - 1. There is no x in the set R that will satisfy this equation. Mathematicians such as Ren´ e Descartes (1596-1650), Leonard Euler (1707-1783), and Carl F. Gauss (1777-1855) introduced a new system of numbers that contain numbers that are solutions to this equation and many others. This system is called the complex number system

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Outline Imaginary Numbers Complex Numbers The Arithmetic of the Complex Numbers Imaginary Numbers
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Section 1.4 Complex Numbers - Outline Imaginary Numbers...

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