The Rise and Fall of Quaternions: Why We Use i, j, and k in Vector Calculus | Deep Dive Maths

The Cartesian unit vectors i, j and k, of Vector Calculus originated as the three imaginary numbers of a four-dimensional number called a Quaternion. Learn about the history of Quaternions and how a vector algebra war among mathematicians and physicists resulted in the banishment of Quaternions from Physics and their replacement by the vector analysis still taught to students today.

00:10 Part 1: Introduction
01:07 Part 2: Real and Complex Numbers
04:36 Part 3: Quaternions
13:26 Part 4: The Vector Algebra War

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Видео The Rise and Fall of Quaternions: Why We Use i, j, and k in Vector Calculus | Deep Dive Maths канала Jeffrey Chasnov