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Peter Guthrie Tait

 
Peter Guthrie Tait

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Peter Guthrie Tait



 
 
Peter Guthrie Tait (28 April 1831 - 4 July 1901) was a Scottish
Scotland

conventional_long_name = ScotlandAlba|common_name= Scotland|image_flag = Flag of Scotland.svg|flag_width = 130px...
 mathematical physicist
Mathematical physics

Mathematical physics is the scientific discipline concerned with the interface of mathematics and physics. There is no real consensus about what does or does not constitute mathematical physics....
, best known for the seminal energy physics textbook Treatise on Natural Philosophy
Treatise on Natural Philosophy

Treatise on Natural Philosophy was an 1867 text book by William Thomson, 1st Baron Kelvin and Peter Guthrie Tait, published by Oxford University Press, that did much to define the modern discipline of physics....
, which he co-wrote with Kelvin
William Thomson, 1st Baron Kelvin

William Thomson, 1st Baron Kelvin , Order of Merit , Royal Victorian Order, Privy Council of the United Kingdom, Presidents of the Royal Society, Royal Society of Edinburgh, was an Ireland-born United Kingdom of Great Britain and Ireland Mathematical physics and engineer....
.

Early years
He was born at Dalkeith
Dalkeith

Dalkeith is a town in Midlothian, Scotland, lying on the River Esk, Lothian. It was granted a burgh of barony in 1401 and a burgh of regality in 1540....
. After attending the Edinburgh Academy
Edinburgh Academy

The Edinburgh Academy is an independent school. It is self-governed and financed, though it remains subject to inspection by Her Majesty's Inspectorate of Education most recently in 2006....
 and University of Edinburgh
University of Edinburgh

The University of Edinburgh founded in 1582, is an internationally renowned centre for teaching and research in Edinburgh, Scotland, United Kingdom....
, he went up to Peterhouse, Cambridge
Peterhouse, Cambridge

Peterhouse is the oldest college in the University of Cambridge. It was founded in 1284 by Hugo de Balsham, Bishop of Ely. Peterhouse has 284 undergraduates, 130 graduate students and 45 fellows, making it the smallest University_of_Cambridge/Colleges in Cambridge, except for certain colleges that admit only women, graduates, or mature studen...
, graduating as senior wrangler and first Smith's prize
Smith's Prize

The Smith's Prize was the name of each of two prizes awarded annually awarded to two research students in theoretical Physics, mathematics and applied mathematics at the University of Cambridge, Cambridge, England....
man in 1852. 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
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
 at Queen's College, Belfast.






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Encyclopedia


Peter Guthrie Tait (28 April 1831 - 4 July 1901) was a Scottish
Scotland

conventional_long_name = ScotlandAlba|common_name= Scotland|image_flag = Flag of Scotland.svg|flag_width = 130px...
 mathematical physicist
Mathematical physics

Mathematical physics is the scientific discipline concerned with the interface of mathematics and physics. There is no real consensus about what does or does not constitute mathematical physics....
, best known for the seminal energy physics textbook Treatise on Natural Philosophy
Treatise on Natural Philosophy

Treatise on Natural Philosophy was an 1867 text book by William Thomson, 1st Baron Kelvin and Peter Guthrie Tait, published by Oxford University Press, that did much to define the modern discipline of physics....
, which he co-wrote with Kelvin
William Thomson, 1st Baron Kelvin

William Thomson, 1st Baron Kelvin , Order of Merit , Royal Victorian Order, Privy Council of the United Kingdom, Presidents of the Royal Society, Royal Society of Edinburgh, was an Ireland-born United Kingdom of Great Britain and Ireland Mathematical physics and engineer....
.

Early years


He was born at Dalkeith
Dalkeith

Dalkeith is a town in Midlothian, Scotland, lying on the River Esk, Lothian. It was granted a burgh of barony in 1401 and a burgh of regality in 1540....
. After attending the Edinburgh Academy
Edinburgh Academy

The Edinburgh Academy is an independent school. It is self-governed and financed, though it remains subject to inspection by Her Majesty's Inspectorate of Education most recently in 2006....
 and University of Edinburgh
University of Edinburgh

The University of Edinburgh founded in 1582, is an internationally renowned centre for teaching and research in Edinburgh, Scotland, United Kingdom....
, he went up to Peterhouse, Cambridge
Peterhouse, Cambridge

Peterhouse is the oldest college in the University of Cambridge. It was founded in 1284 by Hugo de Balsham, Bishop of Ely. Peterhouse has 284 undergraduates, 130 graduate students and 45 fellows, making it the smallest University_of_Cambridge/Colleges in Cambridge, except for certain colleges that admit only women, graduates, or mature studen...
, graduating as senior wrangler and first Smith's prize
Smith's Prize

The Smith's Prize was the name of each of two prizes awarded annually awarded to two research students in theoretical Physics, mathematics and applied mathematics at the University of Cambridge, Cambridge, England....
man in 1852. 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
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
 at Queen's College, Belfast. There he made the acquaintance of Thomas Andrews
Thomas Andrews (scientist)

Thomas Andrews Royal Society , was a chemistry and physics who did important work on phase transitions between gases and liquids....
, whom he joined in researches on the density of ozone
Ozone

Ozone or trioxygen is a triatomic molecule, consisting of three oxygen atoms. It is an allotrope of oxygen that is much less stable than the diatomic O2....
 and the action of the electric discharge on oxygen
Oxygen

Oxygen no O2 produced; 2) O2 produced, but absorbed in oceans & seabed rock; 3) O2 starts to gas out of the oceans, but is absorbed by land surfaces and formation of ozone layer; 4-5) O2 sinks filled and the gas accumulates]]...
 and other gases, and by whom he was introduced to Sir William Rowan Hamilton
William Rowan Hamilton

Sir William Rowan Hamilton was an Ireland physicist, astronomer, and mathematician, who made important contributions to classical mechanics, optics, and algebra....
 and quaternion
Quaternion

Quaternions, in mathematics, are a non-commutative number system that extends the complex numbers. The quaternions were first described by Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space....
s.

Middle years

In 1860, Tait was chosen to succeed his old master, JD Forbes
James David Forbes

James David Forbes Royal Society was a Scotland physicist who worked extensively on the heat conduction, seismology and glaciology. Forbes was a resident of Edinburgh for most of his life, educated at the University of Edinburgh and a professor there from 1833 until he became principal of the United College of St....
, as professor of natural philosophy
Natural philosophy

Natural philosophy or the philosophy of nature , is a term applied to the Objectivity study of nature and the physical universe that was dominant before the development of modern science....
 at Edinburgh, and this chair he occupied till within a few months of his death. The first scientific paper that appears under Tait's name only was published in 1860. His earliest work dealt mainly with mathematical subjects, and especially with quaternions, of which he may be regarded as the leading exponent after their originator, Hamilton. He was the author of two text-books 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
Philip Kelland

Philip Kelland was a United Kingdom mathematician. He was known mainly for his great influence on the development of education in Scotland....
 (1808-1879), who had been one of his teachers at Edinburgh. In addition, quaternions was one of the themes of his address as president of the mathematical section of the British Association for the Advancement of Science
British Association for the Advancement of Science

The British Association for the Advancement of Science or the British Science Association, formally known as the BA, is a learned society with the object of promoting science, directing general attention to scientific matters, and facilitating interaction between scientific workers....
 in 1871.

But he also produced original work in mathematical and experimental physics. In 1864 he published a short paper on thermodynamics
Thermodynamics

In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
, and from that time his contributions to that and kindred departments of science became frequent and important. In 1871 he emphasized the significance and future importance of the principle of the dissipation of energy (second law of thermodynamics
Second law of thermodynamics

The second law of thermodynamics is an expression of the universal law of increasing entropy, stating that the entropy of an isolated system which is not in Thermodynamic equilibrium will tend to increase over time, approaching a maximum value at equilibrium....
). In 1873 he took thermoelectricity
Thermoelectricity

Thermoelectricity refers to a class of phenomena in which a temperature difference creates an electric potential or an electric potential creates a temperature difference....
 for the subject of his discourse as Rede lecturer at Cambridge
University of Cambridge

The University of Cambridge , located in Cambridge, England, is the List of oldest universities in continuous operation university in the Anglosphere....
, and in the same year he presented the first sketch of his well-known thermoelectric diagram before the Royal Society of Edinburgh
Royal Society of Edinburgh

The Royal Society of Edinburgh is Scotland's national academy of science and letters. The membership consists of over 1400 peer-elected fellows, who are known as Fellows of the Royal Society of Edinburgh, denoted FRSE in official titles....
.

Two years later researches on "Charcoal Vacua" with James Dewar
James Dewar

Sir James Dewar Fellow of the Royal Society was a Scottish chemist and physicist. He is probably best-known today for his invention of the Dewar flask, which he used in conjunction with extensive research into the liquefaction of gases....
 led him to see the true dynamical explanation of the Crookes radiometer
Crookes radiometer

The Crookes radiometer, also known as the light mill, consists of an airtight glass bulb, containing a partial vacuum. Inside are a set of vanes which are mounted on a spindle....
 in the large mean free path
Mean free path

In physics the mean free path of a particle is the average distance covered by a particle between subsequent impacts....
 of the molecule
Molecule

In chemistry, a molecule is defined as a sufficiently stable, electric charge neutral group of at least two atoms in a definite arrangement held together by very strong chemical bonds....
 of the highly rarefied air. From 1879 to 1888 he was engaged on difficult experimental investigations, which began with an inquiry into the corrections required, owing to the great pressures to which the instruments had been subjected, in the readings of the thermometers employed by the Challenger expedition
Challenger expedition

The Challenger Expedition of 1872-76 was a scientific expedition that made many discoveries to lay the foundation of oceanography.Prompted by the Scotland, Charles Wyville Thomson—of the University of Edinburgh and Merchiston Castle School—the Royal Society of London obtained the use of a ship, HMS Challenger , from the Roy...
 for observing deep-sea temperatures, and which were extended to include the compressibility of water
Water

Water is a common chemical substance that is essential for the survival of all known forms of life. In typical usage, water refers only to its liquid form or States of matter, but the substance also has a solid state, ice, and a gaseous state, water vapor or steam....
, glass
Glass

Glass generally refers to a Hardness, brittle, transparency amorphous solid, such as that used for windows, many Glass Bottles, or eyewear, including, but not limited to, soda-lime glass, borosilicate glass, acrylic glass, sugar glass, Muscovite , or aluminium oxynitride....
 and mercury
Mercury (element)

Mercury , also called quicksilver or hydrargyrum , is a chemical element with the symbol Hg and atomic number 80. A heavy, silvery d-block metal, mercury is one of six elements that are liquid at or near room temperature and pressure....
. 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 Waterston
John James Waterston

John James Waterston was a Scotland physicist, a neglected pioneer of the kinetic theory of gases....
-Maxwell
James Clerk Maxwell

James Clerk Maxwell was a Scotland Mathematical physics. His most significant achievement was the development of the classical electromagnetic theory, synthesizing all previous unrelated observations, experiments and equations of electricity, magnetism and even optics into a consistent theory....
 theorem
Theorem

In mathematics, a theorem is a statement Mathematical proof on the basis of previously accepted or established statements such as axioms.In formal mathematical logic, the concept of a theorem may be taken to mean a formula that can be formal proof according to the deductive system of a fixed formal system....
 (equipartition theorem
Equipartition theorem

In classical physics statistical mechanics, the equipartition theorem is a general formula that relates the temperature of a system with its average energy....
) 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
Cambridge University Press

Cambridge University Press is a printer and publisher granted a Royal Letters Patent by Henry VIII of England in 1534. It is the world's oldest continually operating book publisher....
, fills three large volumes. This mass of work was done in the time he could spare from his professorial teaching in the university.

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
Thermodynamics

In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
, 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 well-known Treatise on Natural Philosophy
Treatise on Natural Philosophy

Treatise on Natural Philosophy was an 1867 text book by William Thomson, 1st Baron Kelvin and Peter Guthrie Tait, published by Oxford University Press, that did much to define the modern discipline of physics....
. "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 all-comprehensive treatise on physical science, the foundations being laid in kinematics
Kinematics

Kinematics is a branch of classical mechanics which describes the motion of objects without consideration of the causes leading to the motion....
 and dynamics
Dynamics (mechanics)

In physics the term dynamics customarily refers to the time evolution of physical processes. These processes may be microscopic as in particle physics, kinetic theory, and chemical reactions, or macroscopic as in the predictions of statistical mechanics and nonequilibrium thermodynamics....
, and the structure completed with the properties of matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
, heat
Heat

In physics and thermodynamics, heat is any transfer of energy from one body or thermodynamic system to another due to a difference in temperature....
, light
Light

Light, or visible light, is electromagnetic radiation of a wavelength that is Visible spectrum to the human eye , or up to 380?750 nm. In the broader field of physics, light is sometimes used to refer to electromagnetic radiation of all wavelengths, whether visible or not....
, electricity
Electricity

Electricity is a general term that encompasses a variety of phenomena resulting from the presence and flow of electric charge. These include many easily recognizable phenomena such as lightning and static electricity, but in addition, less familiar concepts such as the electromagnetic field and electromagnetic induction....
 and magnetism
Magnetism

In physics, magnetism is one of the phenomena by which materials exert attractive or repulsive forces on other materials. Some well-known materials that exhibit easily detectable magnetic properties are nickel, iron, cobalt, and their alloys; however, all materials are influenced to greater or lesser degree by the presence of a magnetic fiel...
. 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 twenty-three years which yet remained of Tait's life.

Tait collaborated with Balfour Stewart
Balfour Stewart

Balfour Stewart was a Scotland physicist.Stewart was born in Edinburgh, and was educated at the University of Edinburgh. The son of a tea merchant, he was for some time engaged in business in Leith and in Australia, but, returning to his studies of physics at Edinburgh, he became assistant to James David Forbes in 1856....
 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
Will to believe doctrine

"The Will to Believe" is a lecture by William James, published in 1897, which defended the adoption of beliefs as hypotheses and self-fulfilling prophecies even without prior evidence of their truth....
. Among Tait's articles may be mentioned those which he wrote for the ninth edition of the Encyclopaedia Britannica on Light, Mechanics, Quaternions, Radiation and Thermodynamics, besides the biographical notices of Hamilton and Clerk Maxwell.

Chronological order of books


to Tait.]]

  • Dynamics of a Particle (1865)
  • Natural Philosophy (1867); and (PDF/DjVu at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    ).
  • An elementary treatise on quaternions (1867); Copy of the 3rd ed. at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Thermodynamics (1868); Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Recent Advances in Physical Science (1876); Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Heat (1884); Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Light (1884); Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Properties of Matter (1885); Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Dynamics (1895); Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • The Unseen Universe (1875; new edition, 1901)
  • Scientific papers vol. 1 (1898-1900) Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .
  • Scientific papers vol. 2 (1898-1900) Copy at the Internet Archive
    Internet Archive

    The Internet Archive is a nonprofit organization dedicated to building and maintaining a free and openly accessible online digital library, including an archive site of the World Wide Web....
    .


Private life

Tait was an enthusiastic golf
Golf

Golf is a sport in which players using many types of Golf club including wood , iron , and putter , attempt to hit golf ball into each hole on a golf course in the lowest possible number of strokes....
er and, of his seven children, two, Frederick Guthrie Tait
Frederick Guthrie Tait

Frederick Guthrie Tait was a Scotland soldier and amateur golfer.Born in Edinburgh, the third son of eminent physicist and fanatical amateur golfer Peter Guthrie Tait, Frederick was educated at the Edinburgh Academy and Sedbergh School....
 (1870-1900) and John Guthrie Tait (1861-1945) went on to become gifted amateur champions. Tait himself had, in 1891, invoked the Magnus effect
Magnus effect

The Magnus effect is the phenomenon whereby a spinning object flying in a fluid creates a whirlpool of fluid around itself, and experiences a force perpendicular to the line of motion and away from the direction of spin....
 to explain the influence of spin
Rotation

A rotation is a movement of an object in a circular motion. A two-dimensional object rotates around a center of rotation. A Three-dimensional space object rotates around a line called an axis....
 on the flight of a golf ball
Golf ball

A golf ball is a ball designed to be used in the game of golf.Under the Rules of Golf, a golf ball weighs no more than 1.620 ounces , has a diameter not less than 1.680 in , and performs within specified velocity, distance, and symmetry limits....
.

External links

  • Pritchard, Chris. "". British Society for the History of Mathematics.