The+Emergence+of+the+System+of+Complex+Numbers

** Mathematics expresses the art of analogy, exploring how one system is like another. The mathematician creates entirely abstract worlds, governed by the logic devised by mathematicians. Mathematics can be applied to concrete reality because its structures, like Euclid’s Geometry, can be designed to model the world in which we live. At the same time, even our most seemingly concrete icons, the counting numbers, are the absolutely abstract product of the human imagination. This chapter invites you to explore the system of complex numbers as an emergent phenomenon, with each new set created to solve problems arising from the invention of inverse operations. The most significant irrational and transcendental numbers are also discussed within their historical contexts. ** || ||
 * **The Emergence of the System of Complex Numbers**

Exploration 1: Sets of Numbers
Find your name associated with a number set from the list below. Your group will answer each of the questions on your group's wiki page. Follow the link to your group's wiki page. 2. 3. 4. 5.
 * **@Integers** Names: 1.

|| **@Rational Numbers** Names: 1. 2. 3. 4. 5. || Real Algebraic Irrational Numbers Names:  1. 2. 3. 4. 5. || @Real Transcendental Irrational Numbers Names 1. 2. 3. 4. 5. || @Complex Numbers Names 1. 2. 3. 4. 5. || 