## James Joseph Sylvester: Life and Work in LettersIn the folklore of mathematics, James Joseph Sylvester (1814-1897) is the eccentric, hot-tempered, sword-cane-wielding, nineteenth-century British Jew who, together with the taciturn Arthur Cayley, developed a theory and language of invariants that then died spectacularly in the 1890s as a result of David Hilbert's groundbreaking, `modern' techniques. This, like all folklore, has some grounding in fact but owes much to fiction. The present volume brings together for the first time 140 letters from Sylvester's correspondence in an effort to establish the true picture. It reveals - through the letters as well as through the detailed mathematical and historical commentary accompanying them - Sylvester the friend, man of principle, mathematician, poet, professor, scientific activist, social observer, traveller. It also provides a detailed look at Sylvester's thoughts and thought processes as it shows him acting in both personal and professional spheres over the course of his eighty-two year life. The Sylvester who emerges from this analysis - unlike the Sylvester of the folkloric caricature - offers deep insight into the development of the technical and social structures of mathematics. |

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ahout ahove Algebra American Journal American Mathematical Arthur Cayley Baltimore Barhara British calculation Calculus of Forms Cambridge Cayley's Charles Charles Hermite coefficients Coit Gilman Papers commentary to Sylvester's Comptes rendus covariants Daniel Coit Gilman Dear Cayley dear Sir degree Eisenhower Library equations evectant Felix Klein function Geometry Gordan heen Henry Hirst Histor9 hoth invariant theory James Joseph Sylvester Johas Jolms Hopkins University Journal of Mathematics Karen Hunger Parshall lectures letter to Cayley letter to Gilman letter to Sylvester London Mathematical Society Math Papers JJS Mathematical Journal mathematician matrix method minimum generating set noted ohtain Oxford Papers AC partition Paul Gordan Peirce Philosophical Magazine previous letter Professor professorship proof published Quantics recall the commentary Reciprocants result Salmon Science St Jolm's College Sturm's theorem Sylvester Papers Sylvester to Arthur Sylvester's letter symholic tbree tbrough ternary theorem truly J. J. Sylvester University Press variables vols William Woolwich