How Imaginary Numbers Were Invented | Veritasium

A general solution to the cubic equation was long considered impossible, until we gave up the requirement that math reflect reality. References: Some great videos about the cubic: 500 years of not teaching the cubic formula. — • 500 years of NOT teaching THE CUBIC F... Imaginary Numbers are Real — • Imaginary Numbers Are Real [Part 1: I... Dunham, W. (1990). Journey through genius: The great theorems of mathematics. New York. — Toscano, F. (2020). The Secret Formula. Princeton University Press. — Bochner, S. (1963). The significance of some basic mathematical conceptions for physics. Isis, 54(2), 179-205. — Muroi, K. (2019). Cubic equations of Babylonian mathematics. arXiv preprint arXiv:. — Branson, W. Solving the cubic with Cardano, — Rothman, T. (2013). Cardano v Tartaglia: The Great Feud Goes Supernatural. arXiv preprint arXiv:. — Vali Siadat, M., & Tholen, A. (2021). Omar Khayyam: Geometric Algebra and Cubic Equations. Math Horizons, 28(1), 12-15. — Merino, O. (2006). A short history of complex numbers. University of Rhode Island. — Cardano, G (1545), Ars magna or The Rules of Algebra, Dover (published 1993), ISBN 0-486-67811-3 Bombelli, R (1579) L’Algebra The Manim Community Developers. (2021). Manim – Mathematical Animation Framework (Version ) [Computer software].