Complex numbers
Well... not that complex.
A web app | Complex Actions
Inspired by 3Blue1Brown videos, an app to think of complex numbers as actions
on a space called 'complex plane'. Made using MathJS, MathQuill, latextoMath.
The app is under development and might take weeks to finish.
Some features work fine. There's more work though.
WEEK 0 | Lateral Numbers
On the historical motivation to use complex numbers. It's history and applications.
Useful Links
Welch Labs : Imaginary numbers are real.
WEEK 1 | Visualizing
Complex numbers
Plotting complex numbers and understanding what different 'actions' do to them.
Lecture Notes
Useful Links
3Blue1Brown : Understanding e to the pi i
3Blue1Brown : Euler's formula with introductory group theory
Mathologer : Euler's real identity NOT e to the i pi = -1
WEEK 2 | Well, isn't it "undefined"?
An attempt to dig more and look into the algebra of complex numbers.
Sorry for the delay in the uploads. Keeping this page up has been difficult.
The presentation of week 2 is uploaded as a pdf below. It's temporary and will be updated once I have enough time.
Current one might contain mistakes. The course is taking shape and will take time.
Presentation PDF
The format of the course was inspired by the work of Welch labs.
Click here to check it out.