Gaskin spent the latter part of his career as a private coach, moving to Cheltenham in 1855.[1][5]
Works
Gaskin is now remembered for his work on the equation for the figure of the Earth, of Pierre-Simon Laplace. While it was important for geodesy, from a Cambridge point of view its introduction to the syllabus of the Tripos, as intended by William Whewell, proved troublesome. Whewell had George Biddell Airy write on it in his 1826 Tracts, but the solution of the equation appeared unmotivated. John Henry Pratt in Mathematical Principles of Mechanical Philosophy (1836) returned to the topic, clarifying it. Alexander John Ellis worked on the solution of the equation in 1836, as an undergraduate. Then in 1839 Gaskin produced a solution procedure by a differential operator method, setting the result of his investigation as a Tripos question. It immediately gained textbook status in the Differential Equations of John Hymers. The work proved seminal, influencing Robert Leslie Ellis to further developments of symbolic methods; and is credited with a stimulus to the On A General Method of Analysis (1844), the paper making the reputation of George Boole.[6]
Gaskin published little original mathematics by the conventional route of the learned journal; but made his research public in Tripos questions (he was an examiner six times between 1835 and 1851). Later Edward Routh commented on the extensive adoption of Gaskin's problems into the common fund of understanding of the subject.[7]