Bertram Martin Wilson Explained
Prof Bertram Martin Wilson FRSE (14 November 1896, London – 18 March 1935, Dundee, Scotland) was an English mathematician, remembered primarily as a co-editor, along with G. H. Hardy and P. V. Seshu Aiyar, of Srinivasa Ramanujan's Collected Papers.[1] [2] [3] (It seems probable that Wilson did not know about Ramanujan's lost notebook, which was probably passed by G. H. Hardy to G. N. Watson some years after Wilson's death.[4])
Life
He was born in London on 14 November 1896 the son of Rev Alfred Henry Wilson and his wife, Ellen Elizabeth Vincent.[5]
Wilson was educated at King Edward's School, Birmingham and then studied Mathematics at Trinity College, Cambridge, graduating MA. In 1920 he was appointed as a Lecturer in Mathematics at the University of Liverpool, and was promoted to Senior Lecturer in 1926. He remained there for slightly more than thirteen years, working under three professors, Frank Stanton Carey (1860–1928), J. C. Burkhill, and E. C. Titchmarsh. In 1933 Wilson was appointed Professor of Pure and Applied Mathematics at University College, Dundee[2] as successor to John Edward Aloysius Steggall, who retired.[6]
Wilson was elected on 5 March 1934 a Fellow of the Royal Society of Edinburgh. His proposers were Sir Edmund Taylor Whittaker, James Hartley Ashworth, Nicholas Lightfoot and Edward Thomas Copson.[7]
In 1934 he gave a talk Ramanujan's Note-Books and their Place in Modern Mathematics at the third Colloquium of the Edinburgh Mathematical Society at the University of St Andrews.[8]
Wilson died on 18 March 1935 following a brief illness.[2]
Family
In 1930 he married Margaret Fancourt Mitchell.[9]
Subsequent history for Ramanujan's Notebooks
G. N. Watson and B. M. Wilson never completed their project of editing Ramanujan's notebooks (not including the "lost" notebook), but Bruce C. Berndt completed their project in a 5-volume publication Ramanujan's Notebooks, Parts I—V. The following quote refers to the three notebooks involved in Watson and Wilson's project:
Berndt benefited substantially from Wilson's considerable efforts in editing Ramanujan's second notebook. Because some journals require the permission of each author when an article is to be published, for some of Berndt's work he was not permitted to put Wilson or Watson as a coauthor. However, Berndt published several articles with Wilson as a coauthor.[10] [11] [12] [13] [14]
Selected publications
- Proofs of some formulae enunciated by Ramanujan. Proceedings of the London Mathematical Society. 1923. 2. 21. 1. 235–255. 10.1112/plms/s2-21.1.235. Wilson. B. M..
- On the manner of divergence of the Legendre series of an integrable function. Proceedings of the London Mathematical Society. 2. 21. 1. 1923. 389–400. 10.1112/plms/s2-21.1.389. Wilson. B. M..
- 1924. An Application of Pfeiffer's Method to a Problem of Hardy and Littlewood. Proceedings of the London Mathematical Society. 2. 22. 1. 248–253. 10.1112/plms/s2-22.1.248. Wilson. B. M..
- On Pseudo‐Orthogonal Systems of Functions Arising as Solutions of an Integral Equation. Proceedings of the London Mathematical Society. 2. 25. 1. 1926. 59–102. 10.1112/plms/s2-25.1.59. Wilson. B. M..
- 1930. S. Ramanujan. The Mathematical Gazette. 15. 207. 89–94. 3607411. Wilson. B. M.. 10.2307/3607411. 250432530 .
Notes and References
- Bell. E. T.. E. T. Bell. Review of Collected Papers of Srinivasa Ramanujan, edited by G. H. Hardy,. Wilson. 1928. Bull. Amer. Math. Soc.. 34. 6. 783–784. 10.1090/S0002-9904-1928-04651-7. free.
- Haslam-Jones, U. S.. Bertram Martin Wilson, M.A., D.Sc., F.R.S.E.. Proceedings of the Edinburgh Mathematical Society . Series 2. 4. 4. 1936. 268–269. 10.1017/S0013091500027553.
- Berndt, Bruce C.. Bruce C. Berndt. Lecture given by B. M. Wilson, University of Leeds, May, 1927. Mathematics Newsletter, Ramanujan Mathematical Society. 24. 1. 2013. 1–6. 21 February 2017. 16 November 2017. https://web.archive.org/web/20171116015023/http://mat.iitm.ac.in/home/samy/public_html/MNL-June-13-issue-full-31stJuly13.PDF. dead.
- Book: George E. Andrews
. Andrews, George E.. George E. Andrews. Berndt, Bruce C.. Ramanujan's Lost Notebook, Part 1. limited. 2005. Springer. 1. 9780387255293.
- Book: Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002. July 2006. The Royal Society of Edinburgh. 978-0-902198-84-5. 7 July 2019. https://web.archive.org/web/20160304074135/https://www.royalsoced.org.uk/cms/files/fellows/biographical_index/fells_indexp2.pdf. 4 March 2016. dead.
- http://www-history.mcs.st-andrews.ac.uk/Biographies/Steggall.html John Edward Aloysius Steggall, MacTutor biography
- Book: Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002. July 2006. The Royal Society of Edinburgh. 978-0-902198-84-5. 7 July 2019. https://web.archive.org/web/20160304074135/https://www.royalsoced.org.uk/cms/files/fellows/biographical_index/fells_indexp2.pdf. 4 March 2016. dead.
- http://www-history.mcs.st-and.ac.uk/Extras/EMS_1934_Colloquium.html Edinburgh Mathematical Society St Andrews Colloquium 1934, MacTutor History of Mathematics archive
- Book: Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002. July 2006. The Royal Society of Edinburgh. 978-0-902198-84-5. 7 July 2019. https://web.archive.org/web/20160304074135/https://www.royalsoced.org.uk/cms/files/fellows/biographical_index/fells_indexp2.pdf. 4 March 2016. dead.
- B. C. Berndt, P. T. Joshi, and B. M. Wilson, Chapter 2 of Ramanujan's second notebook, Glasgow Math. J. 22 (1981), 199–216
- B. C. Berndt, R. J. Evans, and B. M. Wilson, Chapter 3 of Ramanujan's second notebook, Advances in Mathematics 49 (1983), 123–169
- B. C. Berndt and B. M. Wilson, Chapter 4 of Ramanujan's second notebook, Proc. Royal Soc. Edinburgh (A) 89 (1981), 87–109
- B. C. Berndt and B. M. Wilson, Chapter 5 of Ramanujan's second notebook, in Analytic Number Theory, Lecture Notes in Mathematics No. 899, M. I. Knopp, ed., Springer-Verlag, Berlin, 1981, pp. 49–78
- B. C. Berndt, R. L. Lamphere, and B. M. Wilson, Chapter 12 of Ramanujan's second notebook: Continued fractions, Rocky Mountain J. Math. 15 (1985), 235–310