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Original Articles

A mathematical union: William Henry and Grace Chisholm Young

Pages 105-185 | Published online: 23 Aug 2006

References

  • Chisholm , G.E. 1895 . Algebraisch-gruppentheoretische Untersuchungen zur sphärischen Trigonometrie Göttingen
  • Young , G.C. 1897 . On the curve y = and its connection with an astronomical problem . Monthly Notices of the Royal Astronomical Society , 57 : 379 – 387 .
  • Young , W.H. 1897–98 . On systems of one-vectors in space of n dimensions . Proc. Lond. Math. Soc. , 29 ( 1 ) : 478 – 487 .
  • Young , G.C. 1898–99 . Sulle variet`a razionale normale M4 3 di S6 rappresentante della trigonometria sferica . Atti della Reale Accademia delle Scienze di Torino , 34 : 424 – 438 . W. H. Young, ‘Sulle sizigie che legano le relazioni quadratiche fra le coordinate di retta in S4’, Ibid., 438–441.
  • 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 Grattan-Guinness I. Towards a biography of Georg Cantor Ann. Sci. 1971 27 345 391 (pp. 368–369)
  • Schönflies , A. 1898–1904 . “ Mengenlehre ” . In Encyclopaedie der Mathematischen Wissenschaften. Arithmetik und Analysis Vol. i , 185 – 207 . Leipzig part 1
  • Schönflies , A. 1900 . Die Entwicklung der Lehre von der Punkmannigfaltigkeiten . Jahresbericht der Deutschen Mathematiker-Vereinigung , 8 part 2
  • Young , W.H. 1905 . On the general theory of integration . Phil. Trans. R. Soc. , 204 ( A ) : 221 – 252 . Read 19 May 1904.
  • Young , W.H. and Young , G.C. 1906 . The Theory of Sets of Points Cambridge
  • Young , G.C. 1905 . Bimbo. A little real story for Jill and Molly by Auntie Will London
  • Young , G.C. and Young , W.H. 1905 . A First Book of Geometry London Reprinted New York, 1970.
  • Young , G.C. 1907 . Bimbo and the Frogs London
  • Young , G.C. and Young , W.H. 1908 . Der kleine Geometer Leipzig trans. S. and F. Bernstein In later years translations of the book were published in Swedish, Italian and Magyar.
  • Young , W.H. 1910 . The fundamental theorems of the differential calculus Cambridge Reprinted New York, 1960.
  • Young , W.H. 1910 . On a new method in the theory of integration . Proc. Lond. Math. Soc. , 9 ( 2 ) : 15 – 50 .
  • Young , W.H. 1910 . On the analytical basis of non-Euclidean geometry . Amer. J. Math. , 33 : 249 – 286 .
  • Young , G.C. 1905 . On the form of a certain Jordan curve . Quart. J. P. and A. Math. , 37 : 87 – 91 .
  • Young , G.C. 1914 . A note on derivates and differential coefficients . Acta Mathematica , 37 : 141 – 154 .
  • Young , G.C. 1913 . On infinite derivates . Quart. J. of P. and A. Math. , 47 : 127 – 175 .
  • See Grattan-Guinness I. University mathematics at the turn of the century. Unpublished recollections of W. H. Young Ann. Sci. 1972 28 369 384
  • These extracts have been translated from the German. On this affair and its context see Ringer F.K. The Decline of the German Mandarins Cambridge, Mass. 1969 100 189
  • Sutton , Graham . 1965 . The centenary of the birth of W. H. Young (20th October 1863) . Math. Gaz. , 49 : 16 – 21 . The extracts used here are quoted with permission of Sir Graham and the editor of The Mathematical Gazette.
  • Valiron , G. 1923 . Lectures on the general theory of functions Cambridge
  • Young , G.C. 1925 . On the solution of a pair of simultaneous Diophantine equations connected with the nuptial number of Plato . Proc. Lond. Math. Soc. , 23 ( 1 ) : 27 – 44 .
  • Young , W.H. Some characteristic features of twentieth century pure mathematical research . Proceedings of the International Congress of Mathematics … . Edited by: Fields , J.C. Vol. i , pp. 155 – 169 . Toronto 2 vols.
  • Young , W.H. 1925 . The progress of mathematical analysis in the twentieth century . Proc. Lond. Math. Soc. , 24 ( 1 ) : 421 – 434 .
  • Young , L.C. 1926 . The Theory of Integration Cambridge Reprinted New York, 1964.
  • Knopp , K. 1928 . Theory and Application of Infinite Series London and Glasgow (trans. R. C. H. Young) 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.
  • Young , W.H. 1928 . Christian Felix Klein 1849–1925 . Proc. R. Soc. , 121 ( A ) : i – xix .
  • Young , G.C. 1929 . A time-honoured mystery, from the Meno of Plato . O Instituto , : 78 – 78 .
  • Young , W.H. 1929 . “ The mathematical method and its limitations ” . In Atti del Congresso Internationale dei Matematici Vol. i , 203 – 214 . Bologna
  • Hardy , G.H. 1942 . William Henry Young . J. Lond. Math. Soc. , 17 ( 1 ) : 218 – 237 . (= ‘William Henry Young 1863–1942’, Obituary Notice of Fellows of the Royal Society, 1943, vol. iv, pp. 307–323).
  • The principal obituary is Cartwright M.L. Grace Chisholm Young J. Lond. Math. Soc. 1944 19 1 185 192

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