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What is Algebra and Geometry of Quaternions about?

This document summarizes the history and development of quaternions by mathematician William Rowan Hamilton. [1] Hamilton was inspired by complex numbers and sought an algebra that could multiply triples of numbers to represent 3D geometry. [2] Unable to multiply triples directly, in 1843 Hamilton invented quaternions by defining multiplication rules for quadruples of numbers using i, j, k such that i^2 = j^2 = k^2 = ijk = -1. [3] Quaternions allowed representation of rotations in three dimensions and were

Author

Loubnan

Language

EN