Imaginary Numbers Are Real [Part 1: Introduction]

Imaginary Numbers Are Real [Part 1: Introduction]
Welch Labs

For early access to new videos and other perks:
  / welchlabs

Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources.

Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the discovery of numbers existing not in one dimension along the number line, but in full two dimensional space.  Accepting this not only gives us more rich and complete mathematics, but also unlocks a ridiculous amount of very real, very tangible problems in science and engineering.

Part 1: Introduction
Part 2: A Little History
Part 3: Cardan's Problem
Part 4: Bombelli's Solution
Part 5: Numbers are Two Dimensional
Part 6: The Complex Plane
Part 7: Complex Multiplication
Part 8: Math Wizardry
Part 9: Closure
Part 10: Complex Functions
Part 11: Wandering in Four Dimensions
Part 12: Riemann's Solution
Part 13: Riemann Surfaces

Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources.


https://youtu.be/T647CGsuOVU

https://heisme.skymoon.info/article/SuggInfo/2225  

사람과 이야기하고 가슴 따뜻한 기쁨을 나눈다면... 술과 색과 오락에 빠져 지낸다면... 그래서 이 거친 바람들에 돌아설 수 있다면 그대의 바람을 이룬 것인지요? [하늘-바람 거친 이 세상에서]