지면 실업자가 되는 수학 배틀 : 허수는 어떻게 만들어 졌을까?

진 사람은 직업을 뺏기는 수학배틀!
허수는 대체 어쩌다 생긴 것일까요? 그리고 어디에 쓰일까요? 수학을 싫어해도 이 영상은 재미있을 겁니다...!

저는 고등학교 때 허수가 과연 어디에 어떻게 쓰이는지, 대체 이런 수를 왜 만들었는지 궁금했었습니다. 그리고 그 질문의 답을 찾아보려 했었는데 참 어려웠던 기억이 납니다. 이 영상을 통해 같은 호기심을 품으신 분들이 더 쉽게 알 수 있을 것 같네요.


Thanks to Dr Amir Alexander, Dr Alexander Kontorovich, Dr Chris Ferrie, and Dr Adam Becker for the helpful advice and feedback on the earlier versions of the script.

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References:
Some great videos about the cubic:

500 years of not teaching the cubic formula. --    • 500 years of NOT teaching THE CUBIC FORMUL...  

Imaginary Numbers are Real --    • Imaginary Numbers Are Real [Part 1: Introd...  

Dunham, W. (1990). Journey through genius: The great theorems of mathematics. New York. -- https://ve42.co/Dunham90

Toscano, F. (2020). The Secret Formula. Princeton University Press. -- https://ve42.co/Toscano2020

Bochner, S. (1963). The significance of some basic mathematical conceptions for physics. Isis, 54(2), 179-205. -- https://ve42.co/Bochner63

Muroi, K. (2019). Cubic equations of Babylonian mathematics. arXiv preprint arXiv:1905.08034. -- https://ve42.co/Murio21

Branson, W. Solving the cubic with Cardano, -- https://ve42.co/Branson2014

Rothman, T. (2013). Cardano v Tartaglia: The Great Feud Goes Supernatural. arXiv preprint arXiv:1308.2181. -- https://ve42.co/Rothman

Vali Siadat, M., & Tholen, A. (2021). Omar Khayyam: Geometric Algebra and Cubic Equations. Math Horizons, 28(1), 12-15. -- https://ve42.co/Siadat21

Merino, O. (2006). A short history of complex numbers. University of Rhode Island. -- https://ve42.co/Merino2006

Cardano, G (1545), Ars magna or The Rules of Algebra, Dover (published 1993), ISBN 0-486-67811-3

Bombelli, R (1579) L’Algebra https://ve42.co/Bombelli

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Written by Derek Muller, Alex Kontorovich, Stephen Welch and Petr Lebedev
Animation by Fabio Albertelli, Jakub Misiek, Iván Tello and Jesús Rascón
Mathematical animations done with Manim -- thanks Grant Sanderson and the Manim community!
SFX by Shaun Clifford
Filmed by Derek Muller and Emily Zhang
Edited by Derek Muller and Petr Lebedev
Additional video supplied by Getty Images
Music from Epidemic Sound
Additional Music By Jonny Hyman
Produced by Derek Muller, Petr Lebedev and Emily Zhang
Dubbed by Mingi Kwon
Additional Edited by Jaehyuk Jung