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William Rowan Hamilton: Inventor of Quaternions & Irish Math Genius

Discover the extraordinary life of William Rowan Hamilton (1805–1865), the Irish mathematician and physicist who transformed science and mathematics. This documentary explores how Hamilton’s brilliance reshaped classical mechanics, optics, and algebra, while also giving the world one of the most powerful mathematical tools ever created: quaternions.

From his early days as a child prodigy fluent in multiple languages to becoming Royal Astronomer of Ireland at just 21, Hamilton’s story is one of genius, creativity, and determination. He predicted groundbreaking phenomena in optics, redefined physics with Hamiltonian mechanics, and had his famous “eureka moment” in 1843 when he carved the quaternion formula into Dublin’s Broom Bridge.

Learn how Hamilton’s concepts of scalar and vector laid the foundation for modern mathematics, 3D graphics, navigation, and even quantum mechanics. This is the story of Ireland’s Quaternion Genius, whose legacy continues to influence science and technology today.

0:00 – Introduction: Ireland’s Mathematical Genius
6:00 – Early Life of William Rowan Hamilton
12:00 – Trinity College and Rising Fame
18:00 – Royal Astronomer of Ireland
24:00 – Breakthroughs in Optics
30:00 – Hamiltonian Mechanics Explained
36:00 – The Invention of Quaternions
42:00 – Impact of Quaternion Algebra
48:00 – Later Years and Personal Struggles
54:00 – Legacy of Hamilton’s Genius

SOURCES
Graves, R. P. (1882). Life of Sir William Rowan Hamilton. Hodges, Figgis, & Co.
Hankins, T. L. (1980). Sir William Rowan Hamilton. The Johns Hopkins University Press.
O'Donnell, S. (1983). William Rowan Hamilton: Portrait of a Prodigy. Boole Press.
Puchta, M. (2005). The Aleph of Time: A Commentary on William Rowan Hamilton’s Theory of Algebra. Philosophia Mathematica, 13(2), 141–160.
Wilkins, D. R. (2000). William Rowan Hamilton: His Life and Work. Trinity College Dublin School of Mathematics.

#WilliamRowanHamilton #Quaternions #MathHistory

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