<p>Excerpt from The Collected Mathematical Papers of James Joseph Sylvester, Vol. 2To account for the manifold short-comings of the annexed Lecture, it may be excusable and is indeed needful to state the circumstances under which it was written and delivered.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.</p>

The Collected Mathematical Papers of James Joseph Sylvester, Vol. 2 (Classic Reprint)

James Joseph Sylvester

History

Forgotten Books

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 and investigations as to the Transformation of Quadratic Forms and the recognition of the Invariant factors of a matrix."

The Collected Mathematical Papers of James Joseph Sylvester

Science & Math

Mathematics

American Mathematical Society

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The Collected Mathematical Papers of James Joseph Sylvester, Volume 2

The Collected Mathematical Papers of James Joseph Sylvester, Volume 3

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 and investigations as to the Transformation of Quadratic Forms and the recognition of the Invariant factors of a matrix. ``Among the Papers contained in Volume 2 are the author's Lecture on Geometry, delivered before the Gresham Committee, the author's seven lectures on the Partition of Numbers, in outline, the long memoir on Newton's Rule, the Presidential Address to the Mathematical and Physical section of the British Association at Exeter, and a set of papers `Nugae Mathematicae.' ``Volume 3 deals very largely with the author's enumerative method of obtaining the complete system of concomitants of a system of quantics, with the help of generating functions; the brief but very luminous papers ... on the Constructive Theory of Partitions ... his Commemoration Day Address at Johns Hopkins University (1877) ... investigations on chemistry and algebra, the paper on Certain Ternary Cubic-Form Equations, and the paper on Subinvariants and Perpetuants. ``Volume 4 contains Sylvester's Constructive Theory of Partitions, papers on Binary Matrices, and the Lectures on the Theory of Reciprocants. There is an added Index to the four volumes, and Biographical Notice of Sylvester.'' James Joseph Sylvester (1814-1897), a mathematician, poet, and wit, was one of the contributors to the nineteenth-century English tradition in algebra. He was also an early figure in the establishment of graduate education in mathematics in the United States. One of his main contributions, with Arthur Cayley, was to initiate the theory of algebraic invariants. Among Sylvester's classic results are his theory of elementary divisors and his law of inertia of quadratic forms. This four-volume set contains his collected works.

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Books by James Joseph Sylvester

See the best price to sell, buy, or rent books by James Joseph Sylvester. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Collected Mathematical Papers of James Joseph Sylvester, Vol. 2 (Classic Reprint)

The Collected Mathematical Papers of James Joseph Sylvester

The Collected Mathematical Papers of James Joseph Sylvester, Volume 2

The Collected Mathematical Papers of James Joseph Sylvester, Volume 3

The Collected Mathematical Papers of James Joseph Sylvester