|Born||17 October 1808
Dunster, Somerset, England
|Died||8 May 1879
Allen, Stirlingshire, Scotland
|Citizenship||United Kingdom of Great Britain and Ireland|
|Institutions||University of Edinburgh|
|Alma mater||Queens' College, Cambridge|
|Academic advisors||William Hopkins|
|Known for||Research on water waves
Development of education in Scotland
|Notable awards||Keith Prize (1849-51)|
Early life 
Kelland was born in 1808 in Dunster, Somerset, England. He was an undergraduate at Queen's College, Cambridge, where he was tutored privately by English mathematician William Hopkins and graduated in 1834 as senior wrangler and first Smith's prizeman. He was ordained in the Church of England. From 1834 to 1838, he was a fellow of Queens' College, Cambridge.
Academic career 
Kelland was appointed Professor of Mathematics at the University of Edinburgh in 1838. He was a successor to Scottish mathematician William Wallace. He became the first English-born and wholly English-educated mathematician to hold that chair.
Kelland joined with Scottish physicist James David Forbes in supporting reforms of the Scottish university system. He was an efficient education reformer. He won the respect of his colleagues, and was regarded highly as a mathematics instructor. He wrote on the reform of the Scottish universities.
Kelland's early research work, undertaken at the University of Cambridge, was influenced by mathematicians Joseph Fourier and Augustin Louis Cauchy. This research is described in his Theory of Heat (1837, 1842) and in some papers. However, this proved not to be based on sound principles.
In all, 28 papers published by Kelland, mainly on heat, light and water waves, are listed in the Royal Society Catalogue of Scientific Papers. His theoretical work on water waves (1840, 1844), published in Transactions of the Royal Society of Edinburgh, tried to explain aspects of the important experiments of John Scott Russell, then being carried out near Edinburgh. Although this work was flawed in some respects, it anticipated some of the results later obtained by George Biddell Airy and George Gabriel Stokes.
Kelland wrote analytical papers on General Differentiation in 1839, and Differential Equations in 1853. He gave a geometrical Theory of Parallels outlining a version of non-Euclidean geometry. He wrote mathematics books and edited works of mathematician John Playfair and polymath Thomas Young.
- Waterston, Charles D; Macmillan Shearer, A (July 2006). Former Fellows of the Royal Society of Edinburgh 1783-2002: Biographical Index II. Edinburgh: The Royal Society of Edinburgh. ISBN 978-0-902198-84-5. Retrieved September 25, 2010.
- O'Connor, John J.; Robertson, Edmund F., "Philip Kelland", MacTutor History of Mathematics archive, University of St Andrews.
- Venn, J.; Venn, J. A., eds. (1922–1958). "Philip Kelland". Alumni Cantabrigienses (10 vols) (online ed.). Cambridge University Press.
- Craik, Alex D.D. (January 2004). "The origins of water wave theory". Annual Review of Fluid Mechanics (Annual Reviews) 36: 1–28. Bibcode:2004AnRFM..36....1C. doi:10.1146/annurev.fluid.36.050802.122118. Retrieved 2008-05-08.
- Birse, Ronald M. (2004). "‘Kelland, Philip (1808–1879)’" (subscription required). Oxford Dictionary of National Biography. Oxford University Press. doi:10.1093/ref:odnb/15284. Retrieved 2008-05-08.