Classical Vector Algebra (textbooks In Mathemat... ❲macOS❳

They split quaternion multiplication into two distinct operations:

The (measuring how much vectors go in the same direction). Classical Vector Algebra (Textbooks in Mathemat...

The (measuring the area between them and their perpendicular direction). 3. The "Vector Wars" The "Vector Wars" By the early 1900s, the battle was over

By the early 1900s, the battle was over. In 1901, , a student of Gibbs, published Vector Analysis . This was the first true textbook in the modern sense. It standardized the notation we use in every physics and engineering classroom today ( It standardized the notation we use in every

But Heaviside didn't care about "mathematical elegance." He was a telegraph engineer who wanted tools that worked. He famously said, "Vectors are a great help to a man who has any physics in him." He used this "new" vector algebra to condense Maxwell’s 20 original equations down to the 4 we use today. 4. Victory and the Modern Textbook

By the late 19th century, scientists were frustrated. had written his famous equations for electromagnetism using quaternions, but they were so dense that almost no one could solve them.

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 (