Imaginary Numbers Are Real

Overview

This course explores the concept of imaginary numbers and their significance in mathematics. By the end of the course, learners will understand the history of imaginary numbers, their representation on the complex plane, complex multiplication, and their role in complex functions and Riemann surfaces. The course aims to equip learners with the skills to comprehend and work with imaginary numbers effectively. The teaching method involves a series of lectures covering various topics related to imaginary numbers. This course is intended for individuals interested in mathematics, particularly those looking to deepen their understanding of complex numbers and their applications.

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].