Edward Sang

Quick Info

30 January 1805
Kirkcaldy, Fife, Scotland
23 December 1890

Edward Sang was a Scottish mathematician who wrote extensively on mathematical, mechanical, optical and actuarial topics as well as publishing astronomical and logarithmic tables.


Edward Sang, mathematician, engineer and actuary, was the 6th of 11 children of Edward Sang (1771-1862), nurseryman and sometime Provost of Kirkcaldy, and his wife Jean Nicol (b.1773) a relative of William Nicol (b.1770) who invented the Nicol prism. He attended a subscription school, founded by his father and others, under a gifted headmaster Edward Irving. At Edinburgh University during 1818 - 1824, he impressed professors William Wallace and John Leslie in mathematics and natural philosophy, despite periods of illness. Small for his age, he was first mocked by fellow-students, then admired for his precocious talent.

Sang first worked in Edinburgh as surveyor, civil engineer and mathematics teacher and lectured on natural philosophy. During 1841-43 he was Professor of Mechanical Sciences at the nonconformist Manchester New College, then went to Constantinople to establish engineering schools, plan railways and an ironworks. He lectured (in Turkish) at the Imperial School, Muhendis-hana Berii and gained fame by predicting the solar eclipse of 1847, thereby dispelling superstition. He resigned against the Sultan's wishes, returning to Edinburgh in 1854 to teach mathematics.

An active Fellow of the Royal Scottish Society of Arts and the Royal Society of Edinburgh, he received awards from both and from the Institution of Civil Engineers, London (1879). He was a founder member and first official lecturer of the Faculty of Actuaries in Scotland, a corresponding member of the Royal Tunis Academy, an Ll.D. of Edinburgh University and an honorary member of the Franklin Institute, Philadelphia. He married Isabella Elmslie in 1832 and had at least three daughters and at least one son.

Mainly in Edinburgh-based journals, Sang wrote extensively on mathematical, mechanical, optical and actuarial topics including vibration of wires, a theory of toothed wheels, an improved lighthouse light, railways, bridges, manufacturing and life insurance. He published actuarial, annuity and astronomical tables, books on Elementary and Higher Arithmetic and much-used tables of 7-place logarithms (1871). But his most remarkable achievement is his massive unpublished compilation of 26- and 15-place logarithmic, trigonometric and astronomical tables, filling 47 manuscript volumes. Compiled over forty years, latterly with assistance from two daughters Flora and Jane, these perhaps surpass in accuracy the (also unpublished) French 'Cadastre' tables of 1801. They were gifted to the nation in 1907 by Anna and Flora Sang.

References (show)

  1. A R Davidson, The History of the Faculty of Advocates in Scotland 1856-1956 (1956).
  2. Anon. (possibly C G Knott), Dr Edward Sang's Logarithmic, Trigonometrical, and Astronomical Tables, Proceedings of the Royal Society of Edinburgh (1907-8), 183-196.
  3. D Bruce Peebles, Edward Sang (with list of writings), Proceedings of the Royal Society of Edinburgh (Obituary Notices), 21 (1897), xvii-xxxii.
  4. A D D Craik, Edward Sang (1805-1890): calculator extraordinary, British Soc. for the History of Mathematics Newsletter 45 (Spring 2002), 32-45.
  5. A D D Craik, The logarithmic tables of Edward Sang and his daughters, Historia Mathematica 30 (2003), 47-84 .
  6. Edward Sang MSS and related papers, The National Library of Scotland, Edinburgh, Acc. 10780. (89 volumes/items of tables, correspondence etc., previously held by the Royal Society of Edinburgh).
  7. Edward Sang MSS, Edinburgh University Library 40 vols. Gen. 310-349.
  8. C G Knott, Edward Sang and his logarithmic calculations, in C G Knott (ed.), Napier Tercentenary Memorial Volume (1915), 261-268.
  9. Microfiche Index of Old Parish Records (Scotland).
  10. W Swan, Presidential Address for 1882, Transactions of the Royal Scottish Society of Arts XI (1887), 1-7.
  11. The Royal Society Catalogue of Scientific Papers 1800-1900.
  12. C D Waterston, Notes on portraits in oils, busts and statuettes, the property of the Royal Society of Edinburgh, displayed in the rooms of the Society, The Royal Society of Edinburgh Yearbook (1994), 83-117.

Additional Resources (show)

Other pages about Edward Sang:

  1. Edward Sang on his tables

Honours (show)

Honours awarded to Edward Sang

  1. Fellow of the Royal Society of Edinburgh 1836

Written by Alex D D Craik, University of St Andrews.
Last Update January 1997