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Look Inside The Collected Mathematical Papers of James Joseph Sylvester

The Collected Mathematical Papers of James Joseph Sylvester

Volume 2. 1854–1873


  • Date Published: August 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107683297

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About the Authors
  • 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 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.

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    Product details

    • Date Published: August 2012
    • format: Paperback
    • isbn: 9781107683297
    • length: 748 pages
    • dimensions: 244 x 170 x 38 mm
    • weight: 1.17kg
    • availability: Available
  • Table of Contents

    Prefatory note
    1. On the double square representation of prime and composite numbers
    2. A probationary lecture on geometry, 1854
    3. Note on Sir John Wilson's theorem
    4. On the calculus of forms, otherwise the theory of invariants
    5. Théorème sur les déterminants
    6. Note on a point of notation
    7. Note on the 'enumeration of the contacts of lines and surfaces of the second order
    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
    9. On some new theorems in arithmetic
    10. Note on Burman's law for the inversion of the independent variable
    11. On differential transformation and the reversion of serieses
    12. A trifle on projectiles
    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
    14. Letter on professor Galbraith's construction for a range of projectiles
    15. Recherches sur les solutions en nombres entiers positifs ou négatifs de l'equation cubique homogène á trois variables
    16. On the change of systems of independent variables
    17. On a discovery in the partition of numbers
    18. On the partition of numbers
    19. Note on a formal property of a latent integer
    20. Note on a principle in the theory of numbers and the resolubility of any number into the sum of four squares
    21. Development of an idea of Eisenstein
    22. Note on the algebraical theory of derivative points of curves of the third degree
    23. Note on the equation in numbers of the first degree between any number of variables with positive coefficients
    24. On the problem of the virgins, and the general theory of compound partition
    25. On a generalization of Poncelet's theorems for the linear representation of quadratic radicals
    26. Outlines of seven lectures on the partitions of numbers
    27. Théorie des nombres
    28. Théorie des nombres
    29. Note sur certaines séries qui se presentent dans la théorie des nombres
    30. Sur la fonction E (x)
    , 31. On Poncelet's approximate linear valuation of surd forms
    32. Meditation on the idea of Poncelet's theorem
    33. Notes to the meditation on Poncelet's theorem, including a valuation of two new definite integrals
    34. On the pressure of earth on revetment walls
    35. On an equation in the theory of numbers
    36. Sur une propriété des nombres premiers qui se rattache au théorème de Fermat
    37. Addition á la note insérée dans la précédent compte rendu
    38. Note relative aux communications faites dans les séances des 28 Janvier et 4 Février 1861
    39. Sur l'involution des lignes droites dand l'espace considérées comme des axes de rotation
    40. Note sur l'involution de six lignes dans l'espace
    41. Note sur les 27 droites d'une surface du 3e degré
    42. Generalisation d'un théorème de M. Cauchy
    43. Addition á la note intitulée: 'Généralisation d'un théorème de M. Cauchy'
    44. Démonstration directe du théorème de Lagrange, sur les valeurs numériques minima d'une fonction linéaire á coefficients entiers d'une quantité irrationelle
    45. Note on the numbers of Bernoulli and Euler and a new theorem concerning prime numbers
    46. Note on the historical origin of the unsymmetrical six-valued function of six letters
    47. On a problem in tactic which serves to disclose the existence of a four-valued function of three sets of three letters each
    48. Concluding paper on tactic
    49. Remark on the tactic of nine elements
    50. On a generalization of a theorem of Cauchy on arrangements
    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
    52. Note on certain definite integrals
    53. On the involution of axes of rotation
    54. Addition á l

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