# James Joseph Sylvester

#2,202

Most Influential Person Across History

English mathematician

## James Joseph Sylvester's AcademicInfluence.com Rankings

James Joseph Sylvestermathematics Degrees

Mathematics

#151

Historical Rank

Algebra

#10

Historical Rank

Geometry

#22

Historical Rank

Number Theory

#55

Historical Rank

## Download Badge

Mathematics

## Why Is James Joseph Sylvester Influential?

(Suggest an Edit or Addition)According to Wikipedia, James Joseph Sylvester was an English mathematician. He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics. He played a leadership role in American mathematics in the later half of the 19th century as a professor at the Johns Hopkins University and as founder of the American Journal of Mathematics. At his death, he was a professor at Oxford University.

## James Joseph Sylvester's Published Works

### Published Works

- LX. Thoughts on inverse orthogonal matrices, simultaneous signsuccessions, and tessellated pavements in two or more colours, with applications to Newton's rule, ornamental tile-work, and the theory of numbers (1867) (325)
- XVIII. On a theory of the syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm’s functions, and that of the greatest algebraical common measure (172)
- A Constructive Theory of Partitions, Arranged in Three Acts, an Interact and an Exodion (162)
- XIX. A demonstration of the theorem that every homogeneous quadratic polynomial is reducible by real orthogonal substitutions to the form of a sum of positive and negative squares (1852) (133)
- On Subvariants, i.e. Semi-Invariants to Binary Quantics of an Unlimited Order (127)
- Chemistry and Algebra (1878) (115)
- On an Application of the New Atomic Theory to the Graphical Representation of the Invariants and Covariants of Binary Quantics, With Three Appendices, [Continued] (113)
- XXXVII. On the relation between the minor determinants of linearly equivalent quadratic functions (1851) (95)
- LX. On a remarkable discovery in the theory of canonical forms and of hyperdeterminants (1851) (80)
- XXIII. A method of determining by mere inspection the derivatives from two equations of any degree (1840) (73)
- On a Point in the Theory of Vulgar Fractions (1880) (69)
- XXV. Proof of the hitherto undemonstrated fundamental theorem of invariants (1878) (64)
- Tables of the Generating Functions and Groundforms for the Binary Quantics of the First Ten Orders (1879) (58)
- XXXIX.On the equation to the secular inequalities in the planetary theory (1883) (49)
- XXVII. On Poncelet's approximate linear Valuation of surd forms (1860) (44)
- XLIV. Elementary researches in the analysis of combinatorial aggregation (1844) (39)
- On a funicular solution of Buffon's “problem of the needle” in its most general form (1890) (39)
- Lectures on the Principles of Universal Algebra (37)
- The collected mathematical papers of James Joseph Sylvester (35)
- Music and Mathematics (1886) (31)
- On Certain Ternary Cubic-Form Equations (1879) (27)
- Tables of the Generating Functions and Groundforms of the Binary Duodecimic, with Some General Remarks, and Tables of the Irreducible Syzygies of Certain Quantics (19)
- LVI. Note on the historical origin of the unsymmetrical sixvalued function of six letters (1861) (16)
- XVII. An enumeration of the contacts of lines and surfaces of the second order (1851) (15)
- Tables of the Generating Functions and Groundforms for Simultaneous Binary Quantics of the First Four Orders, Taken Two and Two Together (1879) (15)
- On the Plagiograph aliter the Skew Pantigraph (1875) (15)
- XXXVII.Note on spherical harmonics (1876) (13)
- A Plea for the Mathematician (1869) (12)
- On Tchebycheff's Theory of the Totality of the Prime Numbers Comprised within Given Limits (12)
- On the Divisors of the Sum of Geometrical Series Whose First Term is Unity and Common Ratio any Positive or Negative Integer (1888) (11)
- LXXI. On a remarkable modification of Sturm's theorem (1853) (10)
- On the Goldbach-Euler Theorem regarding Prime Numbers (1896) (10)
- History of the Plagiograph (1875) (9)
- A Synoptical Table of the Irreducible Invariants and Covariants to a Binary Quintic, with a Scholium on a Theorem in Conditional Hyperdeterminants (9)
- On the so-called Tschirnhausen Transformation. (8)
- Postscript to Note on a Point in Vulgar Fractions (1880) (8)
- On Hamilton's Numbers (1887) (8)
- A Demonstration of the Impossibility of the Binary Octavic Possessing Any Groundform of Deg-Order 10.4 (7)
- The Genesis of an Idea, or Story of a Discovery Relating to Equations in Multiple Quantity (1884) (7)
- LIII. Note on a new continued fraction applicable to the quadrature of the circle (1869) (7)
- XXXVII. On the number of fractions contained in any “Farey series” of which the limiting number is given (1883) (6)
- XLVII. Additions to the articles in the September number of this journal, “On a new class of theorems,” and on Pascal's theorem (1850) (6)
- The laws of verse : or, Principlos of versification exemplified in metrical translation: together with an annotated reprint of the inaugural presidential address to the Mathematical and Physical Section of the British Association at Exeter (6)
- On Certain Inequalities Relating to Prime Numbers (1888) (6)
- Note on a Proposed Addition to the Vocabulary of Ordinary Arithmetic (1887) (6)
- A Plea for the Mathematician (6)
- Syllabus of Lecture Delivered at King's College, London, 1 June 28, 1865 (6)
- L.OnHamilton'squadratic equation and the general unilateral equation in matrices (1884) (5)
- LXIII. Memoir on rational derivation from equations of coexistence, that is to say, a new and extended theory elimination (1839) (5)
- I. On Newton's rule for the discovery of imaginary roots of equations (5)
- XLV. On a fundamental rule in the algorithm of continued fractions (1853) (5)
- LIII. On Staudt's theorems concerning the contents of polygons and polyhedrons, with a note on a new and resembling class of theorems (1852) (5)
- On the Complete System of the "Grundformen" of the Binary Quantic of the Ninth Order (1879) (4)
- XXXII. On Mr. Cayley's impromptu demonstration of the rule for determining at sight the degree of any symmetrical function of the roots of an equation expressed in terms of the coefficients (1853) (4)
- Instantaneous Proof of a Theorem of Lagrange on the Divisors of the Form Ax 2 + By 2 + Cz 2 , with a Postscript on the Divisors of the Functions which Multisect the Primitive Roots of Unity (1880) (4)
- Collected mathematical papers, volume 1 (4)
- Outlines of Seven Lectures on the Partitions of Numbers (1896) (4)
- LXIV. Note on Burman's law for the inversion of the independent variable (4)
- XVIII. On the degree and weight of the resultant of a multipartite system of equations (4)
- LVIII. On a simpel geometrical problem illustrating a conjectured principle in the theory of geometrical method (1852) (4)
- The Late Arthur Buchheim (1888) (4)
- LXXVI. On a problem in tactic which serves to disclose the existence of a four-valued function of three sets of three letters each (3)
- LVII. Note on elimination (1840) (3)
- On Hamilton's Numbers. Part II (3)
- XXIV. On a certain fundamental theorem of determinants (1851) (3)
- XIII. Note on the algebraical theory of derivative points of curves of the third degree (1858) (3)
- LXIX. On a linear method of eliminating between double, treble, and other systems of algebraic equations (1841) (3)
- On the Real and Imaginary Roots of Algebraical Equations (2)
- LVI.On the involution and evolution of quaternions (2)
- XXV. On the motion of a rigid body acted on by no external forces (2)
- XLIV. On the explicit values of Sturm's quotients (1853) (2)
- Tables of Generating Functions, Reduced and Representative for Certain Ternary Systems of Binary Forms (2)
- XLVII. On the equation in numbers Ax3 +By3+Cz3=Dxyz, and its associate system of equations (1847) (2)
- Prof. Sylvester's Article on “A New Example of the Use of the Infinite and Imaginary in the Service of the Finite and Real” (1885) (2)
- II. An inquiry into Newton’s rule for the discovery of imaginary roots (2)
- The Lost Found—Boole Justified and Monge Reinstated in his Rights by Prof. Beman of the University of Michigan, U.S. (1886) (1)
- Note on the Theory of Simultaneous Linear Differential of Difference Equations with Constant Coefficients (1)
- VI. On derivation of coexistence: Part I. Being the theory of simultaneous simple homogeneous equations (1)
- XLII. On the problem of the virgins, and the general theory of compound partition (1858) (1)
- III. On a question of compound arrangement (1)
- Collected mathematical papers, volume 3 (1)
- On differential transformation and the reversion of serieses (1)
- VIII. Concluding paper on tactic (1861) (1)
- XLIII. On the solution of a class of equations in quaternions (1884) (1)
- XX. Note on the numbers of Bernoulli and Euler, and a new theorem concerning prime numbers (1861) (1)
- LXV. Observations on a new theory of multiplicity (1852) (1)
- Note on Sonnet to Pritchard (1886) (1)
- The Motion of a Free Rotating Body (1870) (1)
- Collected mathematical papers, volume 2 (1)
- LVII. On a generalization of the lagrangian theorem of interpolation (1853) (1)
- II. On the theory of probability, applied to random straight lines (1)
- XXXIII. Table of totients, of sum-totients, and of 3π 2 into the squares, of all the numbers from 501 to 1000 inclusive (1883) (1)
- XXIV. On the centre of gravity of a truncated triangular pyramid, and on the principles of barycentric perspective (1863) (1)
- XX. On the conditions necessary and sufficient to be satisfied in order that a function of any number of variables may be linearly equivalent to a function of any less number of variables (1853) (1)
- XX. Remark on the tactic of 9 elements (1861) (1)
- Collected mathematical papers, volume 4 (1)
- XXVI. On some new theorems in arithmetic (1854) (1)
- LXXI. On the general solution (in certain cases) of the equation x3+y3+Az3=Mxyz, &c. (1847) (1)
- On the Solution of a Certain Class of Difference or Differential Equations (1)
- XXXIII. An account of a discovery in the Theory of Numbers relative to the equation Ax3+By3+Cz3=Dxyz (1847) (1)
- XXV. An inslantaneous demonstration of Pascal's theorem by the method of indeterminate coordinates (1850) (0)
- An Inquiry into Newton's Rule for the Discovery of Imaginary Roots. [Abstract] (0)
- IV. On a theorem relating to polar umbræ (0)
- LVII. On a porismatic property of two conics having with one another a contact of the third order (1850) (0)
- LIV. On two remarkable resultants arising out of the theory of rectifiable compound logarithmic waves (1869) (0)
- III. Note on a remarkable modification of Sturm's theorem, and on a new rule for finding superior and inferior limits to the roots of an equation (1853) (0)
- LXIII. On the motion and rest of fluids (1838) (0)
- XXXIII. The algebraical theory of the secular-inequality determinantive equation generalized (1853) (0)
- XXVIII. On Hamilton’s numbers (0)
- Kant's View of Space (0)
- XXXIX. Note on successive involutes to a circle (1868) (0)
- LXVI. On the pressure of earth on revetment walls (0)
- XXIX. Note to the editors of the Philosophical Magazine and Journal (1865) (0)
- LVII. On successive involutes to circles.—Second note (1868) (0)
- An After Dinner Experiment (1870) (0)
- XVIII. On a generalization of Taylor's theorem (1877) (0)
- XLIX. Note on the “Enumeration of the contacts of lines and surfaces of the second order” (1854) (0)
- XXX. The story of an equation in differences of the second order (1869) (0)
- XIV. Note on an equation in finite differences (1879) (0)
- LVII. Notes to analytical development (1838) (0)
- XXVI. On a new class of theorems in elimination between quadratic functions (1850) (0)
- XLVI. A note on definite double integration, supplementary to a former paper on the motion and rest of fluids (1839) (0)
- Remarks on the Tables for Binary Quantics in a Preceding Article (1879) (0)
- Outline of first lecture on the partitions of numbers (0)
- On a theory of the conjugate relations of two rational integral functions, comprising an application to the theory of sturm’s functions, and that of the greatest algebraical common measure (0)
- XIX. On the new rule for finding superior and inferior limits to the real roots of any algebraical equation (1853) (0)
- XXXII. Note on the new rule of limits (1853) (0)
- On the Differential Equation to a Curve of any Order (1886) (0)
- LXI. Note on an intuitive proof of the existence of twenty-seven conics of closest contact with a curve of the third degree (1856) (0)
- XIV. Letter on Professor Galbraith's construction for the range of projectiles (1856) (0)
- LVII. Note on quadratic functions and hyperdeterminants (1851) (0)
- On Multiplication by aid of a Table of Single Entry (0)
- LVIII. On the rotation of a rigid body about a fixed point (1850) (0)
- LVIII. A trifle on projectiles (1856) (0)
- V. On a theorem concerning discriminants (0)
- On the Goldbach-Euler Theorem concerning Primes (0)
- II. On the limits to the order and degree of the fundamental invariants of binary quantics (0)
- LXXIV. On the Existence of absolute criteria for determining the roots of numerical equations (1844) (0)
- IX. Note on a point of notation (0)
- XXXV. On the motion and rest of rigid bodies (1839) (0)
- XLVIII. On the solution of a system of equations in which three homogeneous quadratic functions of three unknown quantities are respectively equaled to numerical multiples of a fourth non-homogeneous function of the same (1850) (0)
- Rotation of a Rigid Body (1870) (0)
- Note on Certain Elementary Geometrical Notions and Determinations (1884) (0)
- Note on the Theorem Contained in Professor Lipschitz's Paper (0)
- XLI. Note on the equation in numbers of the first degree between any number of variables with positive coefficients (1858) (0)
- I. On the motion of a rigid body moving freely about a fixed point (0)
- XXXIII. On extensions of the dialytic method of elimination (1851) (0)
- Note on Mechanical Involution (0)
- LXI. Sequel to the theorems relating to “Canonic roots” given in the last March Number of this Magazine (1863) (0)
- A Correction (0)
- XLVIII. On a generalization of a theorem of Cauchy on arrangements (1861) (0)
- LIX. On the integral of the general equation in differences (1862) (0)
- LXIV. On an extension of Sir John Wilson's theorem to all numbers whatever (1838) (0)
- Note on Determinants and Duadic Disynthemes (1879) (0)
- On the Motion of a Rigid Body Moving Freely about a Fixed Point. [Abstract] (0)
- XXIX. Introduction to an essay on the amount and distribution of the multiplicity of the roots of an algebraic equation (1841) (0)
- LIV. On a remarkable theorem in the theory of equal roots and multiple points (1852) (0)
- Kant's View of Space (0)
- LXXII. Notes to the meditation on Poncelet's theorem, including a valuation of the two new definite integrals (0)
- XLII. A new and more general theory of multiple roots (1841) (0)
- XLVII. A proof that all the invariants to a cubic ternary form are rational functions of Aronhold's invariants and of a cognate theorem for biquadratic binary forms (1853) (0)
- XL.On contrariants, a new species of invariants (1884) (0)
- On Certain New Terms or Terms used in a New or Unusual Sense in Elementary Universal Geometry (1885) (0)
- XXXIX. Meditation on the idea of Poncelet's theorem (1860) (0)
- II. On Hamilton’s numbers. Part II (0)
- LXXVI. Analytical development of Fresnel's optical theory of crystals (1837) (0)
- A New Example of the Use of the Infinite and Imaginary in the Service of the Finite and Real (1885) (0)

This paper list is powered by the following services:

## Other Resources About James Joseph Sylvester

## What Schools Are Affiliated With James Joseph Sylvester?

James Joseph Sylvester is affiliated with the following schools: