complex number

Introduction References & Edit History

Images

A diagram of the complex plane with horizontal real axis and vertical imaginary axis, showing a point labeled x + iy and dashed lines connecting it to coordinates x on the real axis and y on the imaginary axis.

Figure 2: The representation of complex numbers and construction of the representation of the sum of two complex numbers (see text).

Quick Facts

Key People:: Carl Friedrich Gauss; Abraham de Moivre

Related Topics:: quaternion; Argand diagram; complex variable; imaginary number; Gaussian integer

Science Mathematics

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External Websites

Pressbooks at Howard Community College - Journal of Research in Progress Vol. 3 - Equivalence Classes of Complex Numbers Modulo a Natural Number
Rutgers University - Department of Mathematics - Complex Numbers: International and Developments
Khan Academy - Intro to complex numbers
OpenStax - College Algebra 2e - Complex Numbers
University of Oxford - Mathematical Institute - Complex Numbers
Mathematics LibreTexts - Complex Numbers
MIT Mathematics - Complex numbers (PDF)
IOPscience - Journal of Physics: Conference Series - Algebraic and Topological Structures of Complex Numbers (PDF)
The University of Rhode Island - Department of Mathematics and Applied Mathematical Sciences - A Short History of Complex Numbers
Story of Mathematics - Complex Numbers ï¿½ Properties, Graph, and Examples
University of California, Davis - Department of Mathematics - Introduction to Complex Numbers. Summary
Clark University - Complex Numbers

complex number

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History

complex number, number of the form x + yi, in which x and y are real numbers and i is the imaginary unit such that i² = -1. See numerals and numeral systems.