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

Jeffrey Chasnov 16,060 3 years ago
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Discover the fascinating history behind the Cartesian unit vectors i, j, and k, and their connection to the world of quaternions! Join Prof. Jeff Chasnov as he takes you on a journey through the history of mathematics, revealing how quaternions spurred the development of vector calculus. Don't miss this captivating story that combines math, history, and the intense vector algebra wars of the late 1800s resulting in the banishment of quaternions from physics! 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 Subscribe to my YouTube channel: http://www.youtube.com/user/jchasnov?... Join me on Coursera: Mathematics for Engineers Specialization https://imp.i384100.net/mathematics-for-engineers Fibonacci Numbers and the Golden Ratio https://imp.i384100.net/fibonacci-numbers-and-the-golden-ratio

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