| Reference number | EC/1913/06 |
| Previous numbers | Cert XIII, 47; A02395 |
| Level | Item |
| Title | Fields, John Charles: certificate of election to the Royal Society |
| Description | Date stamp on reverse |
| Citation | Associate Professor of Mathematics in the University of Toronto. Has established on a new basis the theory of algebraic functions of one complex variable and their integrals (Abelian integrals). This worh has been published in a treatise entitled 'Theory of the Algebraic Functions of a Complex Variable' (4to, Berlin, 1906), and developed in a number of memoirs of which the following may be mentioned: 'On the Reduction of the General Abelian Integral' (Trans Amer Math Soc, vol ii, 1901); 'Algebraic Proofs of the Riemann-Roch Theorem and the Independence of the Conditions of Adjointness' (Acta Math vol xxvi, 1902); 'The Reimann-Roch Theorem and the Independence of the Conditions of Adjointness in the Case of a Curve for which the Tangents at the Multiple Points are Distinct from one another' (Journ fur Math, 1902); 'Forms of the Abelian Integrals of three kinds in the case of a Curve for which the Tangents at the Multiple Points are distinct from one another' (ibid, 1904); 'The Complementary Theorem' (Amer Journ of Math, vol xxxii, 1910). Author also of papers on various subjects of pure mathematics, published in the Proceedings Royal Society of Canada (1911), the American Journal of Mathematics (vols viii, xi, xiv,), the Journ fur Mathematik (Crelle, vol cxii), and Transactions, American Mathematical Society (vol xiii). |
| Proposers | A E H Love; H F Baker; P A MacMahon; E W Hobson; J H Grace; H M Macdonald; A R Forsyth; E B Elliott; T J I'a Bromwich; Robert S Ball |
| Access status | Open |
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Fellows associated with this archive
| Code | Name | Dates |
| NA3582 | Fields; John Charles (1863 - 1932) | 1863 - 1932 |