College Green, Dublin 2, Ireland
Jerrard entered Trinity College, Dublin, where he was a pupil of T. P. Huddart, on December 4, 1821, but he did not take his Bachelor of Arts degree until the spring of 1827.
College Green, Dublin 2, Ireland
Jerrard entered Trinity College, Dublin, where he was a pupil of T. P. Huddart, on December 4, 1821, but he did not take his Bachelor of Arts degree until the spring of 1827.
https://www.amazon.com/essay-resolution-equations-G-Jerrard/dp/B011AB4FHQ/?tag=2022091-20
1859
George Birch Jerrard was born on November 25, 1804, in Cornwall, England. He was the fifth of seven children of Major General Joseph Jerrard and Charlotte Wilder. His father served in Ireland during the rebellion of 1798, was sent to Egypt in 1805, and served at the siege of Copenhagen in 1807.
Jerrard entered Trinity College, Dublin, where he was a pupil of T. P. Huddart, on December 4, 1821, but he did not take his Bachelor of Arts degree until the spring of 1827.
In 1824 Niels Henrik Abel had shown that the roots of the general quintic equation cannot be expressed in terms of its coefficients by means of radicals. E. W. Tschirnhausen had previously generalized the technique of Viète, Cardano, and others of removing terms from a given equation by a rational substitution. Then, in 1786, E. S. Bring reduced the quintic to a trinomial form by a Tschirnhausen-type transformation with coefficients expressible by one cube root and three square roots (that is, the coefficients defined by equations of degree three or less). Jerrard also obtained this result, independently, and in a more general form.
When Hermite found a solution for quintic equations in terms of elliptic modular functions, he cited only Jerrard. Unaware that Bring had found the result for the case n = 5, Hermite stated that Jerrard’s theorem was the most important step taken in the algebraic theory of equations of the fifth degree since Abel. Bring’s partial priority, later brought to light by C. J. D. Hill in 1861, did not entirely detract from the importance of Jerrard’s research.
George Birch Jerrard went down in history as a noted mathematician. His name is mainly remembered for an important theorem in the theory of equations, relating to the reduction of algebraic equations to normal forms: he found a way of using Tschirnhaus transformations to eliminate three of the terms in an equation, which generalized work of Erland Bring, and is now called Bring-Jerrard normal form.
