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Peter Guthrie Tait

Peter Guthrie Tait FRSE (28 April 1831 – 4 July 1901) was a Scottish mathematical physicist and early pioneer in thermodynamics. He is best known for the mathematical physics textbook Treatise on Natural Philosophy, which he co-wrote with Lord Kelvin, and his early investigations into knot theory.

Peter Guthrie Tait

(1831-04-28)28 April 1831

Dalkeith, Scotland

4 July 1901(1901-07-04) (aged 70)

Edinburgh, Scotland

His work on knot theory contributed to the eventual formation of topology as a mathematical discipline. His name is known in graph theory mainly for Tait's conjecture on cubic graphs. He is also one of the namesakes of the Tait–Kneser theorem on osculating circles.

Early life[edit]

Tait was born in Dalkeith on 28 April 1831 the only son of Mary Ronaldson and John Tait, secretary to the 5th Duke of Buccleuch.[1]


He was educated at Dalkeith Grammar School then Edinburgh Academy. He studied Mathematics and Physics at the University of Edinburgh, and then went to Peterhouse, Cambridge, graduating as senior wrangler and first Smith's prizeman in 1852.[2]


As a fellow and lecturer of his college he remained at the University for a further two years, before leaving 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.

Death[edit]

He died in Edinburgh on 4 July 1901, aged 70. He is buried in the second terrace down from Princes Street in the burial ground of St John's Episcopal Church, Edinburgh.

Topology[edit]

The Tait conjectures are three conjectures made by Tait in his study of knots. The Tait conjectures involve concepts in knot theory such as alternating knots, chirality, and writhe. All of the Tait conjectures have been solved, the most recent being the Flyping conjecture, proved by Morwen Thistlethwaite and William Menasco in 1991.

Dynamics of a Particle (1856)

(1867); v. 1 and v. 2 (PDF/DjVu at the Internet Archive).

Treatise on Natural Philosophy

An elementary treatise on quaternions (1867); Copy of the 1st ed. at the Internet Archive and PDF/DjVu Copy of the 3rd ed. at the Internet Archive.

PDF/DjVu

Elements of Natural Philosophy (1872); (PDF/DjVu at the Internet Archive). A "non-mathematical portion of Treatise on Natural Philosophy".

[4]

Sketch of Thermodynamics (1877); Copy at the Internet Archive.

PDF/DjVu

Recent Advances in Physical Science (1876); Copy at the Internet Archive.

PDF/DjVu

Heat (1884); Copy at the Internet Archive.

PDF/DjVu

Light (1884); Copy at the Internet Archive.

PDF/DjVu

Properties of Matter (1885); Copy at the Internet Archive.

PDF/DjVu

Dynamics (1895); Copy at the Internet Archive.

PDF/DjVu

The Unseen Universe (1875; new edition, 1901)

Scientific papers vol. 1 (1898–1900) Copy at the Internet Archive.

PDF/DjVu

Scientific papers vol. 2 (1898–1900) Copy at the Internet Archive.

PDF/DjVu

Dowker–Thistlethwaite notation

Four color theorem

Homoeoid

Medial graph

Nabla symbol

Knott, C. G. (1911). . Cambridge: University Press. doi:10.5962/bhl.title.17932. OCLC 263035970.

Life and Scientific Work of Peter Guthrie Tait, Supplementing the Two Volumes of Scientific Papers Published in 1898 and 1900

Thomson, W. (1882–1911). . In Larmor, J. (ed.). Mathematical and Physical Papers. Vol. 6. Cambridge: University Press. pp. 363–369. OCLC 72757059. OL 14021866M.

"Obituary Notice of Professor Tait, December 1901"

Wilson, D. B. (1991). "P. G. Tait and Edinburgh natural philosophy, 1860–1901". Annals of Science. 48 (3): 267–287. :10.1080/00033799100200251.

doi

This article incorporates text from a publication now in the : Chisholm, Hugh, ed. (1911). "Tait, Peter Guthrie". Encyclopædia Britannica. Vol. 26 (11th ed.). Cambridge University Press. pp. 364–365.

public domain

at Internet Archive

Works by or about Peter Guthrie Tait

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

Provisional Bibliography of Peter Guthrie Tait

An Elementary Treatise on Quaternions, 1890, Cambridge University Press. , HTML version (in progress)

Scanned PDF

"" Website of Andrew Ranicki in Edinburgh.

Knot Theory

at LibriVox (public domain audiobooks)

Works by Peter Guthrie Tait