When did Gerolamo Cardano publish Ars Magna?
Gerolamo Cardano published the book Ars Magna in 1545. This publication described numbers that satisfied the equation x squared equals negative one.
Questions about Complex number
Short answers, pulled from the story.
Who first described complex numbers as points in a plane?
Danish-Norwegian mathematician Caspar Wessel described complex numbers as points in a plane in 1799. Jean-Robert Argand issued an independent pamphlet on these numbers in 1806 and Carl Friedrich Gauss published his treatise in 1831.
What is the formula for a complex number?
Every complex number takes the form a plus bi where a is the real part and b is the imaginary part. Both a and b are real numbers and i represents the imaginary unit satisfying i squared equals negative one.
Why do electrical engineers use the symbol j instead of i?
Electrical engineers introduce the symbol j to replace i to avoid confusion with current notation. They use this unified approach to create a single complex number called impedance for analyzing varying electric currents and voltages.
When did Augustin-Louis Cauchy and Bernhard Riemann complete complex analysis?
Augustin-Louis Cauchy and Bernhard Riemann brought fundamental ideas of complex analysis to completion around 1825. This work established the study of functions of a complex variable known as complex analysis.