The collected mathematical papers

著者

• Sylvester, James Joseph

書誌事項

The collected mathematical papers

James Joseph Sylvester

Cambridge University Press, 2011, c1909

• v. 1 : pbk
• v. 2 : pbk
• v. 3 : pbk
• v. 4 : pbk

タイトル別名

The collected mathematical papers of James Joseph Sylvester

Mathematical papers

注記

Cover title

Originally published: 1909

V. 2 originally published: 1908

V. 1. 1837-1853 -- v. 2. 1854-1873 -- v. 3. 1870-1883 -- v. 4. 1882-1897

内容説明・目次

巻冊次

v. 4 : pbk ISBN 9781107644182

内容説明

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.

目次

• Biographical notice
• 1. A constructive theory of partitions, arranged in three acts, an interact and an exodion
• 2. Sur les nombres de fractions ordinaires inegales qu'on peut exprimer en se servant de chiffres qui n'excedent pas un nombre donne
• 3. Note sur le theoreme de Legendre cite dans une note inseree dans les Comptes Rendus
• 4. Sur le produit indefini 1 - x. 1 - x2. 1 - x3
• 5. Sur une theoreme de partitions
• 6. Preuve graphique du theoreme d'Euler sur la partition des nombres pentagonaux
• 7. Demonstration graphique d'un theoreme d'Euler concernant les partitions des nombres
• 8. Sur un theoreme de partitions de nombres complexes contenu dans un theoreme 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 quantites 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 quantites formant un groupe de nonions analoques aux quaternions de Hamilton
• 19. Sur une note recente de M. D. Andre
• 20. Sur la solution d'une classe tres etendue d'equations en quaternions
• 21. Sur la correspondence entre deux especes differentes de fonctions de deux systemes de quantites, correlatifs et egalement nombreux
• 22. Sur le theoreme de M. Brioschi, relatif aux fonctions symetriques
• 23. Sur une extension de la loi de Harriot relative aux equations algebriques
• 24. Sur les equations monothetiques
• 25. Sur l'equation en matrices px = xq
• 26. Sur la solution du cas le plus general des equations lineaires en quantities binaires, c'est-a-dire en quaternions ou en matrices du second ordre
• 27. Sur les deux methodes, celle de Hamilton en quaternions ou en matrices du second ordre
• 29. Sur la resolution generale de l'equation lineaire en matrices d'un ordre quelconque
• 30. Sur l'equation lineaire trinome 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 theorie de formes algebriques
• 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 reciprocants purs irreductibles du quatrie me ordre
• 44. Sur une extension du theoreme relatif au nombre d'invariants asyzygetiques d'un type donne a une classe de formes analogues
• 45. Note sur les invariants differentiels
• 46. Sur l'equation differentielle d'une courbe d'ordre quelconque
• 47. Sur une extension d'un theoreme de Clebsch relatif aux courbes du quatrieme degre
• 48. On the differential equation to a curve of any order
• 49. On the so-called Tschirnhausen transformation
• 50. Sur une decouverte de M. James Hammond relative a une certaine serie de nombres qui figurent dans la theorie 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 speciale des diviseurs de la somme d'un

巻冊次

v. 1 : pbk ISBN 9781107650329

内容説明

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 1904, this book forms the first in four volumes of Sylvester's mathematical papers, covering the period from 1837 to 1853. 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.

目次

.

巻冊次

v. 3 : pbk ISBN 9781107661431

内容説明

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.

目次

• 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

巻冊次

v. 2 : pbk ISBN 9781107683297

内容説明

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.

目次

• 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. Theoreme sur les determinants
• 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 negatifs de l'equation cubique homogene a 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. Theorie des nombres
• 28. Theorie des nombres
• 29. Note sur certaines series qui se presentent dans la theorie 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 propriete des nombres premiers qui se rattache au theoreme de Fermat
• 37. Addition a la note inseree dans la precedent compte rendu
• 38. Note relative aux communications faites dans les seances des 28 Janvier et 4 Fevrier 1861
• 39. Sur l'involution des lignes droites dand l'espace considerees 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 degre
• 42. Generalisation d'un theoreme de M. Cauchy
• 43. Addition a la note intitulee: 'Generalisation d'un theoreme de M. Cauchy'
• 44. Demonstration directe du theoreme de Lagrange, sur les valeurs numeriques minima d'une fonction lineaire a coefficients entiers d'une quantite 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 a l

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詳細情報

• NII書誌ID(NCID): BB11406686
• ISBN:
  • 9781107650329
  • 9781107683297
  • 9781107661431
  • 9781107644182
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: v.
• 大きさ: 25 cm
• 分類:
  • DC23 : 510
• 件名:
  • LCSH : Mathematics