Classical Vector Algebra (textbooks In Mathemat... Site

The traditionalists were furious. , Hamilton’s successor, called Gibbs’s new algebra a "hermaphrodite monster." He believed that by removing the "quaternion" structure, Gibbs and Heaviside were destroying the mathematical soul of physics.

Hamilton believed quaternions were the ultimate language of the universe. However, they were incredibly difficult to use. To do simple physics, you had to drag around a complicated four-part number when you really only cared about three-dimensional space. 2. The Great Schism (1880s) Classical Vector Algebra (Textbooks in Mathemat...

The (measuring the area between them and their perpendicular direction). 3. The "Vector Wars" The traditionalists were furious

The (measuring how much vectors go in the same direction). However, they were incredibly difficult to use

They split quaternion multiplication into two distinct operations:

The history of isn’t just a dry sequence of formulas; it’s the story of a hundred-year "math war" over how to describe the physical world. 1. The Shadow of Hamilton (1840s)

In 1843, the Irish mathematician was walking across a bridge in Dublin when he had a "eureka" moment. He carved the formula for Quaternions into the stone. Quaternions were four-dimensional numbers (