What contribution did William rowan hamilton make to maths?

William Rowan Hamilton made significant contributions to mathematics, particularly in the fields of algebra and mechanics. He is best known for his formulation of Hamiltonian mechanics, which reformulated classical mechanics and laid the groundwork for modern physics. Additionally, he introduced quaternions, a number system that extends complex numbers and has applications in three-dimensional rotations and computer graphics. Hamilton's work has had a lasting impact on both mathematics and physics.