Imaginary Numbers: An Absurd Starting Point or a Mathematical Necessity?
Keywords:
bivariate survival functions, , dependence functions, biomedical applications, econometrics, bivariate Wiener and Pareto stochastic processes construction, dark energy., PLANCK time, age of the universe, Cameroon, inclusiveness, Green infrastructure, ecosystem restorationAbstract
If a negative number multiplied by itself equals a positive number, then it’s hard to understand the square root of a negative number. [1].
I read somewhere, but I cannot find the source: “When we teach complex numbers, we usually start with an absurd assumption. We define i to be the square root of -1. Then, we construct this elegant theory. But since we start with an absurd assumption, many people have this lingering doubt. We don’t have to start from an absurd point.” Yes, the statement is right I think. What is this absurd point that is the starting point for imaginary numbers and hence for complex numbers?
References
Marie Boas (1949) Hero's Pneumatica: A Study of Its Transmission and Influence. 40(1), 38.
M Fierz (1983) Girolamo Cardano, 1501-1576: physician, natural philosopher, mathematician, astrologer, and interpreter of dreams.
M Fierz (1977) Girolamo Cardano (1501-1576): Arzt, Naturphilosoph, Mathematiker, Astronom und Traumdeuter.
Leonard Euler (1748) Introduction in Analysis Infinitorum [Introduction to the Analysis of the Infinite]. 1, 104.
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