Imaginary Numbers Are Real

This course traces the development of imaginary and complex numbers from Cardano and Bombelli through the complex plane, complex multiplication, and complex functions. It concludes with an introduction to Riemann surfaces.

Syllabus

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