Book contents
- Frontmatter
- ADVERTISEMENT
- Contents
- CLASSIFICATION
- 888 On a form of quartic surface with twelve nodes
- 889 On a differential equation and the construction of Milner's lamp
- 890 Note on the hydrodynamical equations
- 891 On the binodal quartic and the graphical representation of the elliptic functions
- 892 Note on the orthomorphic transformation of a circle into itself
- 893 The bitangents of the quintic
- 894 An investigation by Wallis of his expression for π
- 895 A theorem on trees
- 896 A transformation in elliptic functions
- 897 Sur les racines d'une équation algébrique
- 898 Sur l'équation modulaire pour la transformation de l'ordre 11
- 899 Sur les surfaces minima
- 900 James Joseph Sylvester
- 901 Note on the sums of two series
- 902 On the focals of a quadric surface
- 903 On Latin squares
- 904 Note on reciprocal lines
- 905 On the equation x17 - 1 = 0
- 906 Note on Schlaefli's modular equation for the cubic transformation; with a correction
- 907 Note on the ninth roots of unity
- 908 On two invariants of a quadri-quadric function
- 909 On a particular case of Kummer's differential equation of the third order
- 910 Note on the involutant of two matrices
- 911 On an algebraical identity relating to the six coordinates of a line
- 912 On the notion of a plane curve of a given order
- 913 On the epitrochoid
- 914 On a soluble quintic equation
- 915 On the partitions of a polygon
- 916 Note on a theorem in matrices
- 917 Note on the theory of rational transformation
- 918 On the substitution-groups for two, three, four, five, six, seven, and eight letters
- 919 On the problem of tactions
- 920 On orthomorphosis
- 921 On some problems of orthomorphosis
- 922 Note on the lunar theory
- 923 Note on a hyperdeterminant identity
- 924 On the non-existence of a special group of points
- 925 On Waring's formula for the sum of the mth powers of the roots of an equation
- 926 Corrected seminvariant tables for the weights 11 and 12
- 927 On Clifford's paper “On syzygetic relations among the powers of linear quantics”
- 928 On the analytical theory of the congruency
- 929 Note on the skew surfaces applicable upon a given skew surface
- 930 Sur la surface des ondes
- 931 On some formulæ, of Codazzi and Weingarten in relation to the application of surfaces to each other
- 932 On symmetric functions and seminvariants
- 933 Tables of pure reciprocants to the weight 8
- 934 Note on the so-called quotient G/H in the theory of groups
- 935 Sur la fonction modulaire χω
- 936 Note on uniform convergence
- 937 Note on the orthotomic curve of a system of lines in a plane
- 938 On two cubic equations
- 939 On a case of the involution AF + BG + CH = 0, where A, B, C, F, G, H are ternary quadrics
- 940 On the development of (1 + n2x)m/n
- 941 Note on the partial differential equation Rr + Ss + Tt + U(s2 - rt) - V = 0
- 942 On seminvariants
- 943 On reciprocants and differential invariants
- 944 On Pfaff-invariants
- 945 Note on lacunary functions
- 946 Note on the theory of orthomorphosis
- 947 On a system of two tetrads of circles: and other systems of two tetrads
- 948 Report of a Committee appointed for the purpose of carrying on the tables connected with the Pellian equation from the point where the work was left by Degen in 1817
- 949 On Halphen's characteristic n, in the theory of curves in space
- 950 On the sextic resolvent equations of Jacobi and Kronecker
- 951 Non-Euclidian geometry
- 952 On the kinematics of a plane, and in particular on threebar motion: and on a curve-tracing mechanism
- 953 On the nine-points circle
- 954 On the nine-points circle of a plane triangle
- 955 The numerical value of Π (i), = Γ(l + i)
- 956 On Richelot's integral of the differential equation
- 957 Illustrations of Sylow's theorems on groups
- 958 On the surface of the order n which passes through a given cubic curve
- 959 Note on Plücker's equations
- 960 On the circle of curvature at any point of an ellipse
- 961 A trigonometrical identity
- 962 Co-ordinates versus quaternions
- 963 Note on Dr Muir's Paper “A problem of Sylvester's in Elimination”
- 964 On the nine-points circle of a spherical triangle
- 965 On the sixty icosahedral substitutions
- 966 Note on a memoir in Smith's Collected Papers
- 967 An elementary treatise on elliptic functions
900 - James Joseph Sylvester
Published online by Cambridge University Press: 05 July 2011
- Frontmatter
- ADVERTISEMENT
- Contents
- CLASSIFICATION
- 888 On a form of quartic surface with twelve nodes
- 889 On a differential equation and the construction of Milner's lamp
- 890 Note on the hydrodynamical equations
- 891 On the binodal quartic and the graphical representation of the elliptic functions
- 892 Note on the orthomorphic transformation of a circle into itself
- 893 The bitangents of the quintic
- 894 An investigation by Wallis of his expression for π
- 895 A theorem on trees
- 896 A transformation in elliptic functions
- 897 Sur les racines d'une équation algébrique
- 898 Sur l'équation modulaire pour la transformation de l'ordre 11
- 899 Sur les surfaces minima
- 900 James Joseph Sylvester
- 901 Note on the sums of two series
- 902 On the focals of a quadric surface
- 903 On Latin squares
- 904 Note on reciprocal lines
- 905 On the equation x17 - 1 = 0
- 906 Note on Schlaefli's modular equation for the cubic transformation; with a correction
- 907 Note on the ninth roots of unity
- 908 On two invariants of a quadri-quadric function
- 909 On a particular case of Kummer's differential equation of the third order
- 910 Note on the involutant of two matrices
- 911 On an algebraical identity relating to the six coordinates of a line
- 912 On the notion of a plane curve of a given order
- 913 On the epitrochoid
- 914 On a soluble quintic equation
- 915 On the partitions of a polygon
- 916 Note on a theorem in matrices
- 917 Note on the theory of rational transformation
- 918 On the substitution-groups for two, three, four, five, six, seven, and eight letters
- 919 On the problem of tactions
- 920 On orthomorphosis
- 921 On some problems of orthomorphosis
- 922 Note on the lunar theory
- 923 Note on a hyperdeterminant identity
- 924 On the non-existence of a special group of points
- 925 On Waring's formula for the sum of the mth powers of the roots of an equation
- 926 Corrected seminvariant tables for the weights 11 and 12
- 927 On Clifford's paper “On syzygetic relations among the powers of linear quantics”
- 928 On the analytical theory of the congruency
- 929 Note on the skew surfaces applicable upon a given skew surface
- 930 Sur la surface des ondes
- 931 On some formulæ, of Codazzi and Weingarten in relation to the application of surfaces to each other
- 932 On symmetric functions and seminvariants
- 933 Tables of pure reciprocants to the weight 8
- 934 Note on the so-called quotient G/H in the theory of groups
- 935 Sur la fonction modulaire χω
- 936 Note on uniform convergence
- 937 Note on the orthotomic curve of a system of lines in a plane
- 938 On two cubic equations
- 939 On a case of the involution AF + BG + CH = 0, where A, B, C, F, G, H are ternary quadrics
- 940 On the development of (1 + n2x)m/n
- 941 Note on the partial differential equation Rr + Ss + Tt + U(s2 - rt) - V = 0
- 942 On seminvariants
- 943 On reciprocants and differential invariants
- 944 On Pfaff-invariants
- 945 Note on lacunary functions
- 946 Note on the theory of orthomorphosis
- 947 On a system of two tetrads of circles: and other systems of two tetrads
- 948 Report of a Committee appointed for the purpose of carrying on the tables connected with the Pellian equation from the point where the work was left by Degen in 1817
- 949 On Halphen's characteristic n, in the theory of curves in space
- 950 On the sextic resolvent equations of Jacobi and Kronecker
- 951 Non-Euclidian geometry
- 952 On the kinematics of a plane, and in particular on threebar motion: and on a curve-tracing mechanism
- 953 On the nine-points circle
- 954 On the nine-points circle of a plane triangle
- 955 The numerical value of Π (i), = Γ(l + i)
- 956 On Richelot's integral of the differential equation
- 957 Illustrations of Sylow's theorems on groups
- 958 On the surface of the order n which passes through a given cubic curve
- 959 Note on Plücker's equations
- 960 On the circle of curvature at any point of an ellipse
- 961 A trigonometrical identity
- 962 Co-ordinates versus quaternions
- 963 Note on Dr Muir's Paper “A problem of Sylvester's in Elimination”
- 964 On the nine-points circle of a spherical triangle
- 965 On the sixty icosahedral substitutions
- 966 Note on a memoir in Smith's Collected Papers
- 967 An elementary treatise on elliptic functions
Summary
James Joseph Sylvester, born in London on September 3, 1814, is the sixth and youngest son of the late Abraham Joseph Sylvester, formerly of Liverpool. He was educated at two private schools in London, and at the Royal Institution, Liverpool, whence he proceeded in due course of time to St John's College, Cambridge. In these early days he manifested considerable aptitude for mathematics, and so it was not matter for surprise that he came out in the Tripos Examination of 1837 as Second Wrangler; being incapacitated, by the fact of his Jewish origin, from taking his degree, he was not able to compete for either of the Smith's Prizes. In more enlightened times (1872), he had the degrees of B.A. and M.A., by accumulation, conferred upon him, and received therewith the honour of a Latin speech from the Public Orator. He himself says: “I am perhaps the only man in England who am a full (voting) Master of Arts for the three Universities of Dublin, Cambridge, and Oxford, having received that degree from these Universities in the order above given: from Dublin, by ad eundem; from Cambridge, ob merita; from Oxford, by decree.” He is now D.C.L. of Oxford, LL.D. of Dublin and Edinburgh, and Hon. Fellow of St John's College, Cambridge. It is still open for him to receive yet higher recognition from his own alma mater.
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- Information
- The Collected Mathematical Papers , pp. 43 - 48Publisher: Cambridge University PressPrint publication year: 2009First published in: 1897