Peter Tait (physicist)
Peter Guthrie Tait  

240px
Peter Guthrie Tait – Scottish physicist, an early pioneer in thermodynamics


Born  28 April 1831 Dalkeith 
Died  4 July 1901 Edinburgh 
Residence  United Kingdom 
Citizenship  United Kingdom 
Nationality  Scottish 
Fields  Mathematical physicist 
Alma mater  University of Edinburgh 
Academic advisors  William Hopkins 
Notable awards  Smith's Prize (1852) Royal Medal (1886) 
Peter Guthrie Tait FRSE (28 April 1831 – 4 July 1901) was a Scottish mathematical physicist, best known for the energy physics textbook Treatise on Natural Philosophy, which he cowrote with Kelvin, and his early investigations into knot theory, which contributed to the eventual formation of topology as a mathematical discipline. His name is known in graph theory mainly for Tait's conjecture.
Contents
Early years
He was born in Dalkeith. After attending the Edinburgh Academy and University of Edinburgh, he went up to Peterhouse, Cambridge, graduating as senior wrangler and first Smith's prizeman in 1852.^{[1]} As a fellow and lecturer of his college he remained in Cambridge for two years longer, and then left to take up the professorship of mathematics at Queen's College, Belfast. There he made the acquaintance of Thomas Andrews, whom he joined in researches on the density of ozone and the action of the electric discharge on oxygen and other gases, and by whom he was introduced to Sir William Rowan Hamilton and quaternions.
Middle years
In 1860, Tait succeeded his old master, James D. Forbes, as professor of natural philosophy at Edinburgh, and occupied that chair until shortly before his death. The first scientific paper under Tait's name only was published in 1860. His earliest work dealt mainly with mathematical subjects, and especially with quaternions, which he was the leading exponent of after their originator, Hamilton. He was the author of two textbooks on them—one an Elementary Treatise on Quaternions (1867), written with the advice of Hamilton, though not published till after his death, and the other an Introduction to Quaternions (1873), in which he was aided by Philip Kelland (1808–1879), one of his teachers at Edinburgh. Quaternions was also one of the themes of his address as president of the mathematical section of the British Association for the Advancement of Science in 1871.
He also produced original work in mathematical and experimental physics. In 1864, he published a short paper on thermodynamics, and from that time his contributions to that and kindred departments of science became frequent and important. In 1871, he emphasised the significance and future importance of the principle of the dissipation of energy (second law of thermodynamics). In 1873 he took thermoelectricity for the subject of his discourse as Rede lecturer at Cambridge, and in the same year he presented the first sketch of his wellknown thermoelectric diagram before the Royal Society of Edinburgh.
Two years later, researches on "Charcoal Vacua" with James Dewar led him to see the true dynamical explanation of the Crookes radiometer in the large mean free path of the molecule of the highly rarefied air. From 1879 to 1888, he engaged in difficult experimental investigations. These began with an inquiry into what corrections were required for thermometers operating at great pressure. This was for the benefit of thermometers employed by the Challenger expedition for observing deepsea temperatures, and were extended to include the compressibility of water, glass, and mercury. This work led to the first formulation of the Tait equation, which is widely used to fit liquid density to pressure. Between 1886 and 1892 he published a series of papers on the foundations of the kinetic theory of gases, the fourth of which contained what was, according to Lord Kelvin, the first proof ever given of the WaterstonMaxwell theorem (equipartition theorem) of the average equal partition of energy in a mixture of two gases. About the same time he carried out investigations into impact and its duration.
Many other inquiries conducted by him might be mentioned, and some idea may be gained of his scientific activity from the fact that a selection only from his papers, published by the Cambridge University Press, fills three large volumes. This mass of work was done in the time he could spare from his professorial teaching in the university. For example, in 1880 he worked on the Four color theorem and proved that it was true if and only if no snarks were planar.
Later years
In addition, he was the author of a number of books and articles. Of the former, the first, published in 1865, was on the dynamics of a particle; and afterwards there followed a number of concise treatises on thermodynamics, heat, light, properties of matter and dynamics, together with an admirably lucid volume of popular lectures on Recent Advances in Physical Science.
With Lord Kelvin, he collaborated in writing the wellknown Treatise on Natural Philosophy. "Thomson and Tait," as it is familiarly called (" T and T' " was the authors' own formula), was planned soon after Lord Kelvin became acquainted with Tait, on the latter's appointment to his professorship in Edinburgh, and it was intended to be an allcomprehensive treatise on physical science, the foundations being laid in kinematics and dynamics, and the structure completed with the properties of matter, heat, light, electricity and magnetism. But the literary partnership ceased in about eighteen years, when only the first portion of the plan had been completed, because each of the members felt he could work to better advantage separately than jointly. The friendship, however, endured for the remaining twentythree years of Tait's life.
Tait collaborated with Balfour Stewart in the Unseen Universe, which was followed by Paradoxical Philosophy. It was in his 1875 review of The Unseen Universe, that William James first put forth his Will to Believe Doctrine. Tait's articles include those he wrote for the ninth edition of the Encyclopædia Britannica on Light, Mechanics, Quaternions, Radiation, and Thermodynamics, and the biographical notices of Hamilton and Clerk Maxwell.
Chronological order of books
 Dynamics of a Particle (1865)
 Treatise on Natural Philosophy (1867); v. 1 and v. 2 (PDF/DjVu at the Internet Archive).
 An elementary treatise on quaternions (1867); PDF/DjVu Copy of the 1st ed. at the Internet Archive and PDF/DjVu Copy of the 3rd ed. at the Internet Archive.
 Elements of Natural Philosophy (1872); [1] (PDF/DjVu at the Internet Archive). A "nonmathematical portion of Treatise on Natural Philosophy".
 Sketch of Thermodynamics (1877); PDF/DjVu Copy at the Internet Archive.
 Recent Advances in Physical Science (1876); PDF/DjVu Copy at the Internet Archive.
 Heat (1884); PDF/DjVu Copy at the Internet Archive.
 Light (1884); PDF/DjVu Copy at the Internet Archive.
 Properties of Matter (1885); PDF/DjVu Copy at the Internet Archive.
 Dynamics (1895); PDF/DjVu Copy at the Internet Archive.
 The Unseen Universe (1875; new edition, 1901)
 Scientific papers vol. 1 (1898–1900) PDF/DjVu Copy at the Internet Archive.
 Scientific papers vol. 2 (1898–1900) PDF/DjVu Copy at the Internet Archive.
Private life
Tait was an enthusiastic golfer and, of his seven children, two, Frederick Guthrie Tait (1870–1900) and John Guthrie Tait (1861–1945) went on to become gifted amateur champions. John was an allround sportsman and represented Scotland at international level in rugby union. Tait himself had, in 1891, invoked the Magnus effect to explain the influence of spin on the flight of a golf ball.
References
 ↑ "Tait, Peter Guthrie (TT848PG)". A Cambridge Alumni Database. University of Cambridge.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
External links
Wikiquote has quotations related to: Peter Tait (physicist) 
Wikisource has original works written by or about: Peter Tait (physicist) 
 O'Connor, John J.; Robertson, Edmund F., "Peter Guthrie Tait", MacTutor History of Mathematics archive, University of St Andrews<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
 Pritchard, Chris. "Provisional Bibliography of Peter Guthrie Tait". British Society for the History of Mathematics.
 An Elementary Treatise on Quaternions, 1890, Cambridge University Press. Scanned PDF, HTML version (in progress)
 This article incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). Encyclopædia Britannica (11th ed.). Cambridge University Press. Missing or empty
title=
(help)CS1 maint: ref=harv (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>  "Knot Theory" Website of Andrew Ranicki in Edinburgh.
 EngvarB from August 2014
 Use dmy dates from August 2014
 Pages with broken file links
 Birthdate transclusions with invalid parameters
 Pages with citations lacking titles
 CS1 maint: ref=harv
 Wikipedia articles incorporating a citation from the 1911 Encyclopaedia Britannica with no article parameter
 Scottish physicists
 Scottish mathematicians
 Thermodynamicists
 Fellows of the Royal Society of Edinburgh
 Alumni of the University of Edinburgh
 Alumni of Peterhouse, Cambridge
 Fellows of Peterhouse, Cambridge
 People educated at Edinburgh Academy
 1831 births
 1901 deaths
 Royal Medal winners
 Senior Wranglers
 People from Dalkeith
 Mathematical physicists
 Academics of Queen's University Belfast
 Academics of the University of Edinburgh
 19thcentury British mathematicians
 20thcentury mathematicians