Algebra 78 - Imaginary and Complex Numbers

The concept of imaginary and complex numbers was a powerful innovation that enabled mathematics to progress into previously uncharted territory. Although this concept was not entirely intuitive, extending our number system to include these new types of numbers laid the groundwork for important advances in fields such as electrical engineering and physics. This lecture explains how this extension to our number system follows a long history of other additions, extending natural numbers to include integers, rational numbers, and real numbers.