A mathematical union: William Henry and Grace Chisholm Young

Annals of Science

Volumn 29, Issue 2, 1972, Pages 105-185

  Grattan Guinness, I ^a  

^a MIDDLESEX UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039767983     PISSN: 00033790     EISSN: 1464505X     Source Type: Journal    
DOI: 10.1080/00033797200200431     Document Type: Article

References (40)

1. H. W. Chigholm's reminiscences in ' Recollections of an octogenerian civil servant The Temple Bar, 1890, 91, 33-50, 207-221, 394-410 and 583-597.
2. Sophie Kowalewsky actually died in 1891. She took her doctorate at Gottingenin 1874.
3. G. E. Chisholm, Algebraisch-gruppentheoretische Untersuchungen zur spharischen Trigonometrie (Gottingen, 1895).
4. G. C. Young, ‘On the curve and its connection with an astronomical problem’, Monthly Notices of the Royal Astronomical Society, 1897, 57, 379-387.
5. W. H. Young, ‘On systems of one-vectors in space of n dimensions’, Proc. Lond. Math. Soc, 1897-98, (1) 29, 478-487.
6. G. C. Young, ‘Sulle varieta razionale normale Mdi S6 rappresentante della trigo-nometria sferica’, Atti della Reale Accademia delle Scienze di Torino, 1898-99, 34, 424-438
7. W. H. Young, ‘Sulle sizigie che legano le relazioni quadratiehe fra le coordinate di retta in St’, Atti della Reale Accademia delle Scienze di Torino., 438-441.
8. Cantor's attacks have been grossly misrepresented and exaggerated: it is mistakenly believed that they arose from the controversies over his work and caused him to spend many years in a lunatic asylum. In actual fact, the attacks were basically endogenous and manic depressive, and he spent a total of only about four years in sanatoria and in the Halle Nervenklinik. See I. Grattan-Guinness, ‘Towards a biography of Georg Cantor’, Ann. Set., 1971, 27, 345-391 (pp. 368-369).
9. A. Schnflies, ‘MengenlehreEncyclopaedie der Mathemalischen Wissenschaften’, Arithmetic und Analysis, vol. 1, part 1 (Leipzig, 1898-1904), pp. 185-207.
10. A. Schonflies, Die Entwioklung der Lehre von der Punkmannigfaltigkeiten Jahres-berieht der Deutschen Mathematiker-Vereinigung, 1900, 8, part 2.
11. W. H. Young, ‘On the general theory of integration’ Phil. Trans. B. Soc., 1905, (A) 204, 221-252. Read 19 May 1904.
12. W. H. Young, and G. G. Young, The Theory of Sets of Points (Cambridge, 1906).
13. G. C. Young, Bimbo. A little real story for Jill and Molly by Auntie Will (London, 1905).
14. G. C. Young, and W. H. Young, A First Book of Geometry (London, 1905). Reprinted New York, 1970.
15. G. C. Young, Bimbo and the Frogs (London, 1907).
16. G. C. Young, and W. H. Young, trans. S. and F. Bernstein, Der Heine Geometer (Leipzig, 1908). In later years translations of the book were published in Swedish, Italian and Magyar.
17. W. H. Young, The fundamental theorems of the differential calculus (Cambridge, 1910). Reprinted New York, 1960.
18. W. H. Young, ‘On a new method in the theory of integration’, Proc. Land. Math. Soc, 1910, (2) 9, 15-50.
19. W. H. Young, ‘On the analytical basis of non-Euclidean geometry’, Amer. J. Math., 1910, 33, 249-286.
20. G. G. Young, ‘On the form of a certain Jordan curve’, Quart. J. P. and A. Math., 1905, 37, 87-91.
21. G. G. Young, ‘A note on derivates and differential coefficients’, Acta Mathematica, 1914, 37, 141-154.
22. G. C. Young, ‘On infinite derivates’, Quart. J. of P. and A. Math., 1913, 47, 127-175.
23. I. Grattan-Guinness, ‘University mathematics at the turn of the century’. Unpublished recollections of W. H. Young Ann. Sci., 1972, 28, 369-384.
24. These extracts have been translated from the German. On this affair and its context see F. K. Ringer, The Decline of the German Mandarins, Cambridge, Mass., 1969, pp. 100-189.
25. The letters to Klein are in his papers in the Niedersachische Staats- und Universitats, bibliothek in Gottingen, West Germany. None of them has been quoted here, however.
26. A reprint by the Chelsea Publ. Co. of the original 1906 edition is to appear in 1972, and is to include some of the changes that Grace left marked in her own copy of the book.
27. Graham Sutton, ‘The centenary of the birth of W. H. Young (20th October 1863)’, Math. Gaz., 1965, 49, 16-21. The extracts used here are quoted with permission of Sir Graham and the editor of The Mathematical Gazette.
28. G. Valiron, Lectures on the general theory of functions (Cambridge, 1923).
29. G. C. Young, ‘On the solution of a pair of simultaneous Diophantine equations connected with the nuptial number of Plato’, Proc. Land. Math, Soct 1925, (1) 23, 27-44.
30. W. H. Young, ‘Some characteristic features of twentieth century pure mathematical research’, Proceedings of the International Congress of Mathematics. , 2 vols. (ed. J. C. Fields), (Toronto, 1928), vol. 1, pp. 155-169.
31. W. H. Young, ‘The progress of mathematical analysis in the twentieth century’, Proc. Lond. Math. Soc, 1925, (1) 24, 421-434.
32. L. G. Young, The Theory of Integration (Cambridge, 1926). Reprinted New York, 1964.
33. K. Knopp (trans. R. C. H. Young), Theory and Application of Infinite Series (London and Glasgow, 1928). The translation was of the second (1923) edition: in 1951 Cecily also prepared for Blackie, under the same title, a translation of the fourth (1947) edition. This second edition is still in print, although it is inferior to the first.
34. These extracts from the letter have been translated from the German.
35. W. H. Young, ‘Christian Felix Klein 1849-1925’ Proc. R. Soc, 1928, (A) 121, 1-19.
36. G. C. Young, A time-honoured mystery, from the Meno of Plato Institute, 1929
37. W. H. Young, ‘The mathematical method and. its limitations’, Atti del Congresso Internationale dei Matematici (Bologna, 1929), vol. 1, pp. 203-214.
38. G. H. Hardy, ‘William Henry Young’, J. Lond. Math. Soc., 1942, (1) 17, 218-237
39. ‘William Henry Young 1863-1942’, Obituary Notice of Fellows of the Royal Society, 1943, vol. 4, pp. 307-323.
40. The principal obituary is M. L. Cartwright, ‘Grace Chisholm Young’, J. Lond. Math. Soc, 1944, (1) 19, 185-192.