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The Collected Mathematical Papers of James Joseph Sylvester: Volume 3, 1870-1883 James Joseph Sylvester

The Collected Mathematical Papers of James Joseph Sylvester: Volume 3, 1870-1883 By James Joseph Sylvester

The Collected Mathematical Papers of James Joseph Sylvester: Volume 3, 1870-1883 by James Joseph Sylvester


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Summary

Originally published in 1909, this book forms the third in four volumes of James Joseph 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.

The Collected Mathematical Papers of James Joseph Sylvester: Volume 3, 1870-1883 Summary

The Collected Mathematical Papers of James Joseph Sylvester: Volume 3, 1870-1883 by James Joseph Sylvester

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.

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 degre; 7. Sur une methode algebrique 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 elementaires d'un systeme de deux formes biquadratiques binaires; 9. Theorie pour trouver le nombre des covariants et des contrevariants d'ordre et de degre donnes lineairement independants d'un systeme quelconque de formes simultanees 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 reciprocite pour les invariants et covariants des quantics binaires; 16. Sur la therie des formes associees de MM. Clebsch et Gordan; 17. Determination d'une limite superieure au nombre total des invariants et covariants irreducibles des formes binaires; 18. Proof of the hitherto undemonstrated fundamental theorem of invariants; 19. Sur les covariants fondamentaux d'un systeme cubo-biquadratique binaire; 20. Sur le vrai nombre des formes irreductibles du systeme cubo-biquadratique; 21. Determination du nombre exact des covariants irreductibles du systeme cubo-biquadratique binaire; 22. Sur les covariants irreduct ibles du quantic du septieme ordre; 23. Sur la forme binaire du septieme 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 derivees; 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 propriete arithmetique d'une certaine serie de nombres entiers; 31. Sur la valeur moyenne des coefficients dans le developpement d'un determinant gauche ou symetrique d'un ordre infiniment grand et sur les determinants doublement gauches; 32. Table des nombres de derivees invariantives d'ordre et de degre donnes, appartenant a la forme binaire du dixieme ordre; 33. Sur la valeur moyenne des coefficients numeriques dans un determinant gauche d'un ordre infiniment grand; 34. Sur le vrai nombre des covariants fondamentaux d'un systeme 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 propriete des equations dont toutes les racines sont reelles; 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 reciprocite dans la theorie des no

Additional information

NLS9781107661431
9781107019355
1107019354
The Collected Mathematical Papers of James Joseph Sylvester: Volume 3, 1870-1883 by James Joseph Sylvester
New
Paperback
Cambridge University Press
2012-02-16
706
N/A
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