The Collected Mathematical Papers Of James Joseph Sylvester Volume 2 1854 1873

This 1908 book forms the second in four volumes of James Joseph Sylvester's mathematical papers, covering 1854 to 1873.

Features a paper 'On the Theory of the Syzygetic Relations of Two Rational Integral Functions, comprising an application to the Theory of Sturm's Functions'. This title also contains Sylvester's Constructive Theory of Partitions, papers on Binary Matrices, and the Lectures on the Theory of Reciprocants.

This 1909 book forms the third in four volumes of James Joseph Sylvester's mathematical papers, covering 1870 to 1883.

From the Preface: ``The longest paper in volume 1 is ``On the Theory of the Syzygetic Relations of two Rational Integral Functions, comprising an application to the Theory of Sturm's Functions'', and to this many of the shorter papers in the volume are contributory ... the volume contains also Sylvester's dialytic method of elimination, his Essay on Canonical Forms, and early investigations in the theory of Invariants. It also contains celebrated theorems as to Determinants andinvestigations as to the Transformation of Quadratic Forms and the recognition of the Invariant factors of a matrix.''

This 1912 book forms the fourth in four volumes of James Joseph Sylvester's mathematical papers, covering 1882 to 1897.