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Portrait of Sir William Rowan Hamilton. In the image, Hamilton is shown as a mature man with a thoughtful, introspective demeanor. His face is marked by high cheekbones, a prominent brow, and deep-set eyes that reflect intellectual depth. His hair, typically dark and wavy, is styled neatly, though in some versions of his portraits it appears slightly receding, signaling the passage of time. His expression is serious, with a slight furrow in his brow, indicative of his deep intellectual pursuits.

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Portrait of Sir William Rowan Hamilton. In the image, Hamilton is shown as a mature man with a thoughtful, introspective demeanor. His face is marked by high cheekbones, a prominent brow, and deep-set eyes that reflect intellectual depth. His hair, typically dark and wavy, is styled neatly, though in some versions of his portraits it appears slightly receding, signaling the passage of time. His expression is serious, with a slight furrow in his brow, indicative of his deep intellectual pursuits.
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Project Gutenberg (gutenberg_org@mastodon.social)'s status on Wednesday, 16-Oct-2024 20:47:24 JST Project Gutenberg

#OTD in 1843.
William Rowan Hamilton invents quaternions, a 3D system of complex numbers.
Important precursors to this work included Euler's four-square identity (1748) & Olinde Rodrigues' parameterization of general rotations by 4 parameters (1840), but neither of these writers treated the four-parameter rotations as an algebra. Carl Friedrich Gauss had discovered quaternions in 1819, but this work was not published until 1900.
https://en.wikipedia.org/wiki/Quaternion
https://www.gutenberg.org/ebooks/9942
#mathematics

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