{"product_id":"the-collected-mathematical-papers-of-james-joseph-sylvester-volume-2-1854-1873-paperback-9781107683297","title":"The Collected Mathematical Papers of James Joseph Sylvester: Volume 2, 1854–1873 (Paperback \/ softback) 9781107683297","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Collected Mathematical Papers of James Joseph Sylvester: Volume 2, 1854–1873\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis 1908 book forms the second in four volumes of James Joseph Sylvester's mathematical papers, covering 1854 to 1873.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJames Joseph Sylvester (Author), H. F. Baker (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107683297, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 16 February 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e748 pages\u003cbr\u003e24.4 x 17 x 3.8 cm, 1.17 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eJames Joseph Sylvester (1814–97) was an English mathematician who made key contributions to numerous areas of his field and was also of primary importance in the development of American mathematics, both as inaugural Professor of Mathematics at Johns Hopkins University and founder of the American Journal of Mathematics. Originally published in 1908, this book forms the second in four volumes of Sylvester's mathematical papers, covering the period from 1854 to 1873. Together these volumes provide a comprehensive resource that will be of value to anyone with an interest in Sylvester's theories and the history of mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePrefatory note\u003cbr\u003e 1. On the double square representation of prime and composite numbers\u003cbr\u003e 2. A probationary lecture on geometry, 1854\u003cbr\u003e 3. Note on Sir John Wilson's theorem\u003cbr\u003e 4. On the calculus of forms, otherwise the theory of invariants\u003cbr\u003e 5. Théorème sur les déterminants\u003cbr\u003e 6. Note on a point of notation\u003cbr\u003e 7. Note on the 'enumeration of the contacts of lines and surfaces of the second order\u003cbr\u003e 8. Note on the formula by aid of which and of a table of single entry the continued product of any set of numbers (or at least a given constant multiple thereof) may be effected by additions and subtractions only without the use of logarithms\u003cbr\u003e 9. On some new theorems in arithmetic\u003cbr\u003e 10. Note on Burman's law for the inversion of the independent variable\u003cbr\u003e 11. On differential transformation and the reversion of serieses\u003cbr\u003e 12. A trifle on projectiles\u003cbr\u003e 13. A note on an intuitive proof of the existence of twenty-seven conics of the closest contact with a curve of the third degree\u003cbr\u003e 14. Letter on professor Galbraith's construction for a range of projectiles\u003cbr\u003e 15. Recherches sur les solutions en nombres entiers positifs ou négatifs de l'equation cubique homogène á trois variables\u003cbr\u003e 16. On the change of systems of independent variables\u003cbr\u003e 17. On a discovery in the partition of numbers\u003cbr\u003e 18. On the partition of numbers\u003cbr\u003e 19. Note on a formal property of a latent integer\u003cbr\u003e 20. Note on a principle in the theory of numbers and the resolubility of any number into the sum of four squares\u003cbr\u003e 21. Development of an idea of Eisenstein\u003cbr\u003e 22. Note on the algebraical theory of derivative points of curves of the third degree\u003cbr\u003e 23. Note on the equation in numbers of the first degree between any number of variables with positive coefficients\u003cbr\u003e 24. On the problem of the virgins, and the general theory of compound partition\u003cbr\u003e 25. On a generalization of Poncelet's theorems for the linear representation of quadratic radicals\u003cbr\u003e 26. Outlines of seven lectures on the partitions of numbers\u003cbr\u003e 27. Théorie des nombres\u003cbr\u003e 28. Théorie des nombres\u003cbr\u003e 29. Note sur certaines séries qui se presentent dans la théorie des nombres\u003cbr\u003e 30. Sur la fonction E (x)\u003cbr\u003e, 31. On Poncelet's approximate linear valuation of surd forms\u003cbr\u003e 32. Meditation on the idea of Poncelet's theorem\u003cbr\u003e 33. Notes to the meditation on Poncelet's theorem, including a valuation of two new definite integrals\u003cbr\u003e 34. On the pressure of earth on revetment walls\u003cbr\u003e 35. On an equation in the theory of numbers\u003cbr\u003e 36. Sur une propriété des nombres premiers qui se rattache au théorème de Fermat\u003cbr\u003e 37. Addition á la note insérée dans la précédent compte rendu\u003cbr\u003e 38. Note relative aux communications faites dans les séances des 28 Janvier et 4 Février 1861\u003cbr\u003e 39. Sur l'involution des lignes droites dand l'espace considérées comme des axes de rotation\u003cbr\u003e 40. Note sur l'involution de six lignes dans l'espace\u003cbr\u003e 41. Note sur les 27 droites d'une surface du 3e degré\u003cbr\u003e 42. Generalisation d'un théorème de M. Cauchy\u003cbr\u003e 43. Addition á la note intitulée: 'Généralisation d'un théorème de M. Cauchy'\u003cbr\u003e 44. Démonstration directe du théorème de Lagrange, sur les valeurs numériques minima d'une fonction linéaire á coefficients entiers d'une quantité irrationelle\u003cbr\u003e 45. Note on the numbers of Bernoulli and Euler and a new theorem concerning prime numbers\u003cbr\u003e 46. Note on the historical origin of the unsymmetrical six-valued function of six letters\u003cbr\u003e 47. On a problem in tactic which serves to disclose the existence of a four-valued function of three sets of three letters each\u003cbr\u003e 48. Concluding paper on tactic\u003cbr\u003e 49. Remark on the tactic of nine elements\u003cbr\u003e 50. On a generalization of a theorem of Cauchy on arrangements\u003cbr\u003e 51. Note on a  direct method of obtaining the expansion of the sine or cosine of multiple arcs in terms of powers of the sines or cosines of the simple arc by means of De Moivre's theorem\u003cbr\u003e 52. Note on certain definite integrals\u003cbr\u003e 53. On the involution of axes of rotation\u003cbr\u003e 54. Addition á l\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265881723160,"sku":"9781107683297","price":60.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107683297i_bfc28849-9b58-4c72-aa6e-9b6406ce59eb.jpg?v=1694509180","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-collected-mathematical-papers-of-james-joseph-sylvester-volume-2-1854-1873-paperback-9781107683297","provider":"Freshly Printed Books","version":"1.0","type":"link"}