The Collected Mathematical Papers of James Joseph Sylvester: Volume 4, 1882–1897
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The Collected Mathematical Papers of James Joseph Sylvester: Volume 4, 1882–1897

The Collected Mathematical Papers of James Joseph Sylvester: Volume 4, 1882–1897


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About the Book

James 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 1912, this book forms the fourth in four volumes of Sylvester's mathematical papers, covering the period from 1882 to 1897. 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.

Table of Contents:
Biographical notice; 1. A constructive theory of partitions, arranged in three acts, an interact and an exodion; 2. Sur les nombres de fractions ordinaires inégales qu'on peut exprimer en se servant de chiffres qui n'excèdent pas un nombre donné; 3. Note sur le théorème de Legendre cité dans une note insérée dans les Comptes Rendus; 4. Sur le produit indéfini 1 - x. 1 - x2. 1 - x3; 5. Sur une théorème de partitions; 6. Preuve graphique du théorème d'Euler sur la partition des nombres pentagonaux; 7. Démonstration graphique d'un théorème d'Euler concernant les partitions des nombres; 8. Sur un théorème de partitions de nombres complexes contenu dans un théorème de Jacobi; 9. On the number of fractions contained in any 'Farey series' of which the limiting number is given; 10. On the equation to the secular inequalities in the planetary theory; 11. On the involution and evolution of quaternions; 12. On the involution of two matrices of the second order; 13. Sur les quantités formant un groupe de nonions analoques aux quaternions de Hamilton; 14. On quaternions, nonions, sedenions, etc.; 15. On involutants and other allied species of invariants to matrix systems; 16. On the three laws of motion in the world of universal algebra; 17. Equations in matrices; 18. Sur les quantités formant un groupe de nonions analoques aux quaternions de Hamilton; 19. Sur une note récente de M. D. André; 20. Sur la solution d'une classe très étendue d'équations en quaternions; 21. Sur la correspondence entre deux espèces differentes de fonctions de deux systèmes de quantités, corrélatifs et également nombreux; 22. Sur le théorème de M. Brioschi, relatif aux fonctions symétriques; 23. Sur une extension de la loi de Harriot relative aux équations algébriques; 24. Sur les équations monothétiques; 25. Sur l'équation en matrices px = xq; 26. Sur la solution du cas le plus général des équations linéaires en quantitiés binaires, c'est-à-dire en quaternions ou en matrices du second ordre; 27. Sur les deux méthodes, celle de Hamilton en quaternions ou en matrices du second ordre; 29. Sur la résolution générale de l'équation linéaire en matrices d'un ordre quelconque; 30. Sur l'équation linéaire trinôme en matrices d'un ordre quelconque; 31. Lectures on the principles of universal algebra; 32. On the solution of a class of equations in quaternions; 33. On Hamilton's quadratic equation and the general unilateral equation in matrices; 34. Note on Captain MacMahon's transformation of the theory of invariants; 35. On the D'Alembert–Carnot geometrical paradox and its resolution; 36. Sur une nouvelle théorie de formes algébriques; 37. Note on Schwarzian derivatives; 38. On reciprocants; 39. Note on certain elementary geometrical notions and determinations; 40. On the trinomial unilateral quadratic equation in matrices of the second order; 41. Inaugural lecture at Oxford, on the method of reciprocants; 42. Lectures on the theory of reciprocants; 43. Sur les réciprocants purs irréductibles du quatriè me ordre; 44. Sur une extension du théorème relatif au nombre d'invariants asyzygétiques d'un type donné à une classe de formes analogues; 45. Note sur les invariants différentiels; 46. Sur l'équation différéntielle d'une courbe d'ordre quelconque; 47. Sur une extension d'un théorème de Clebsch relatif aux courbes du quatrième degré; 48. On the differential equation to a curve of any order; 49. On the so-called Tschirnhausen transformation; 50. Sur une découverte de M. James Hammond relative à une certaine série de nombres qui figurent dans la théorie de la transformation Tschirnhausen; 51. On Hamilton's numbers; 52. Sur les nombres dits de Hamilton; 53. Note on a proposed addition to the vocabulary of ordinary arithmetic; 54. On certain inequalities relating to prime numbers; 55. Sur les nombres parfaits; 56. Sur une classe spéciale des diviseurs de la somme d'un


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Product Details
  • ISBN-13: 9781107644182
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 244 mm
  • No of Pages: 798
  • Returnable: N
  • Returnable: N
  • Weight: 1296 gr
  • ISBN-10: 1107644186
  • Publisher Date: 16 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 40 mm
  • Width: 170 mm


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