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Look Inside The Collected Mathematical Papers of James Joseph Sylvester

The Collected Mathematical Papers of James Joseph Sylvester

Volume 3. 1870–1883

$97.99 (R)

  • Date Published: February 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107661431

$ 97.99 (R)

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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 1909, this book forms the third in four volumes of Sylvester's mathematical papers, covering the period from 1870 to 1883. 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: February 2012
    • format: Paperback
    • isbn: 9781107661431
    • length: 706 pages
    • dimensions: 244 x 170 x 36 mm
    • weight: 1.11kg
    • availability: Available
  • Table of Contents

    1. On the rotation of a rigid body
    2. On recent discoveries in mechanical conversion of motion
    3. On the plagiograph aliter the skew pantigraph
    4. On a lady's fan, on parallel motion, and on an orthogonal web of jointed rods
    5. Note on spherical harmonics
    6. Sur les invariants fondamentaux de la forme binaire du huitieme degré
    7. Sur une methode algébrique pour obtenir l'ensemble des invariants et des covariants fondamentaux d'une forme binaire et d'une combinaison quelconque de formes binaires
    8. Sur le vrai nombre des covariants élémentaires d'un système de deux formes biquadratiques binaires
    9. Théorie pour trouver le nombre des covariants et des contrevariants d'ordre et de degré donnés linéairement indépendants d'un système quelconque de formes simultanées contenant un nombre quelconque de variables
    10. Address on Commemoration Day at Johns Hopkins University, 22 February 1877
    11. On a generalization of Taylor's theorem
    12. Sur les invariants
    13. On the limits to the order and degree of the fundamental invariants of binary quantics
    14. Chemistry and algebra
    15. Sur la loi de réciprocité pour les invariants et covariants des quantics binaires
    16. Sur la thérie des formes associées de MM. Clebsch et Gordan
    17. Détermination d'une limite supérieure au nombre total des invariants et covariants irréducibles des formes binaires
    18. Proof of the hitherto undemonstrated fundamental theorem of invariants
    19. Sur les covariants fondamentaux d'un système cubo-biquadratique binaire
    20. Sur le vrai nombre des formes irréductibles du système cubo-biquadratique
    21. Détermination du nombre exact des covariants irréductibles du système cubo-biquadratique binaire
    22. Sur les covariants irréduct ibles du quantic du septième ordre
    23. Sur la forme binaire du septième ordre
    24. On an application of the new atomic theory to the graphical representation of the invariants and covariants of binary quantics - with three appendices
    25. Note on a theorem contained in Professor Lipschitz's paper
    26. A synoptical table of the irreducible invariants and covariants to a binary quintic, with a scholium on a theorem in conditional hyper-determinants
    27. Sur les actions mutuelles des formes invariantives dérivées
    28. On a rule for abbreviating the calculation of the number of in- or co-variants of a given order and weight in the coefficients of a binary quantic of a given degree
    29. Note on continuants
    30. Sur une propriété arithmetique d'une certaine série de nombres entiers
    31. Sur la valeur moyenne des coefficients dans le developpement d'un détérminant gauche ou symétrique d'un ordre infiniment grand et sur les détérminants doublement gauches
    32. Table des nombres de derivées invariantives d'ordre et de degré donnés, appartenant à la forme binaire du dixième ordre
    33. Sur la valeur moyenne des coefficients numériques dans un détérminant gauche d'un ordre infiniment grand
    34. Sur le vrai nombre des covariants fondamentaux d'un système de deux cubiques
    35. Note on an equation in finite differences
    36. Note on determinants and duadic disynthemes
    37. On the complete system of the 'Grundformen' of the binary quantic of the ninth order
    38. Tables of the generating functions and groundforms for the binary quantics of the first ten orders
    39. On certain ternary cubic-form equations
    40. Tables of the generating functions and groundforms for simultaneous binary quantics of the first four orders, taken two and two together
    41. Note sur une propriété des équations dont toutes les racines sont réelles
    42. On the theorem connected with Newton's rule for the discovery of imaginary roots of equations
    43. On the exact relation which resultants and discriminants bear to the product of differences of roots of equations
    44. Sur les diviseurs des fonctions cyclotomiques
    45. Sur la loi de reciprocité dans la théorie des no

  • Author

    James Joseph Sylvester


    H. F. Baker

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