(Excerpt from The Quarterly Journal of Pure and Applied Ma...)
Excerpt from The Quarterly Journal of Pure and Applied Mathematics, 1867, Vol. 8 A consequence of Mr. Cayley's Theory of Show Determinants con cerning the Displacement of a Rigid System of an Even Number of Dimensions about a Fixed Origin. By Professor Selim. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
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(James Joseph Sylvester (1814-97) was an English mathemati...)
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.
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(Sylvester sC onstructive Theory of Partitions, papers on ...)
Sylvester sC onstructive Theory of Partitions, papers on Binary Matrices, and theL ectures on the Theory of Reciprocants. There is added an Index to the four volumes, and aB iographical Notice of Sylvester. The Mathematical Questions in theE ducational Times are as yet unedited, but an Index to them is appended here. I have to acknowledge the kindness of Dr J. E. McT aggart, F.B.A., who secured for me the loan of theE ssay on Canonical Forms, from theL ibrary ofT rinity College, Cambridge, for Vol. i, and that of Mr R. F. Scott. M.A., Master of St John sC ollege, Cambridge, for the use of the volume called The Laws of Verse, from which the matter contained in the Appendix to Vol. ii was reprinted, who supplied also the Autograph on the Frontispiece of this Volume. To the latter gentleman, as well as toM ajor P. A. MacM ahon, Professor E. B. Elliott andS ir Joseph Larmor, I owe my best thanks for reading through theB iographical Notice. In carrying through the task of editing the Papers, I have, in general, thought it most fitting not to oflF er any remarks of my own in regard to Sylvester stext, though many times at a loss to know how best to act. In the Appendix to Vol. I I have departed from this rule, giving there an account of Sylvester schief theorems in regard to determinants. For two other cases the reader may find notes, Proceedings of theL ondon Mathematical Society, Vol. iv, Ser. II (1907), pp. 131 135, and Vol. VI (1908), pp. 122 140; these refer respectively to the paperN o. 36, p. 229, and to the paperN o. 74, p. 452, both mV ol. II of the Reprint. Many corrections of errors in the printing of algebraical formulae have been introduced, though many, it is to be feared, still remain; but no alterations of Sylvester sstatements have been made without definite indication, by square brackets or otherwise. To the Readers andS taff of the University Pr (Typographical errors above are due to OCR software and don't occur in the book.)
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(Excerpt from The Quarterly Journal of Pure and Applied Ma...)
Excerpt from The Quarterly Journal of Pure and Applied Mathematics, 1867, Vol. 8 A consequence of Mr. Cayley's Theory of Show Determinants con cerning the Displacement of a Rigid System of an Even Number of Dimensions about a Fixed Origin. By Professor Selim. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
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(This work has been selected by scholars as being cultural...)
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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(Excerpt from The Quarterly Journal of Pure and Applied Ma...)
Excerpt from The Quarterly Journal of Pure and Applied Mathematics, 1858, Vol. 2 N etc on the Relation between the Distances of a Straight Line from Three Given Points. By N. M. Fewer. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
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(This book was originally published prior to 1923, and rep...)
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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(By J. E. Prescott. come of the following propositions, al...)
By J. E. Prescott. come of the following propositions, although not new, may appear in a form interesting to a portion of your readers. Others are, I think, not known. 1. If Z, w, n, ol 7, be a direction cosines of the normal to a wave front ana of the direction of vibration respectively, we have Fresnel swell-known condition and since the vibration is in the plane front .0.+ 0.+-V=o. Eliminating, Im If vbe the velocity of propagation, taV+88 +? ;and these equations assume the form Im np a{tT- )~ fi(f-V)~ V-J)~ P+ VOL. II. (Typographical errors above are due to OCR software and don't occur in the book.) About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology. Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org
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(This book was originally published prior to 1923, and rep...)
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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(Excerpt from The Collected Mathematical Papers of James J...)
Excerpt from The Collected Mathematical Papers of James Joseph Sylvester, Vol. 2 To 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 Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.
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(James Joseph Sylvester (1814-97) was an English mathemati...)
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.
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(James Joseph Sylvester (1814-97) was an English mathemati...)
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.
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(This book was originally published prior to 1923, and rep...)
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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(This book was originally published prior to 1923, and rep...)
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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(This book was originally published prior to 1923, and rep...)
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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(The Laws Of Verse : Or Principles Of Versification Exempl...)
The Laws Of Verse : Or Principles Of Versification Exemplified In Metrical Translations. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
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( This is a reproduction of a book published before 1923....)
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ The Quarterly Journal Of Pure And Applied Mathematics, Volume 33 James Joseph Sylvester, James Whitbread Lee Glaisher J.W. Parker, 1902 Mathematics; General; Mathematics; Mathematics / General; Study Aids / Civil Service
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James Joseph Sylvester was born on September 3, 1814 in London, the youngest of six sons of Abraham Joseph. His father was a merchant. In later years his eldest brother adopted the surname Sylvester, and the rest of the brothers followed suit.
James attended a school for Jewish boys in London and finished with honor his preparation for the university at the Royal Institution, Liverpool. In 1831 he matriculated at St. John's College, Cambridge, but after 1833 "degraded" for two years, returning in 1836. After the Test Act of 1872, he was awarded both bachelor's and master's degrees.
In 1841 he was granted the degrees of B. A. and M. A. by the University of Dublin, and in the same year accepted a call to the chair of mathematics in the University of Virginia.
Returning to London, he was engaged in actuarial work from December 1844 until 1856; at the same time he studied law in the Inner Temple and on November 22, 1850, was called to the bar.
In 1837 James Sylvester succeeded William Ritchie as professor of natural philosophy at University College, London, where he taught for four years. Sensitive, race-conscious, and unable to control his temper, he was ill-fitted to meet the provincial prejudice of some of his students and to handle disciplinary problems.
On February 24, 1842, after about three months of service, he resigned his professorship because of the refusal of the faculty to expel a student with whom he had had difficulty (Bruce, post, III, 73-76). Going first to Washington and then to New York, where he lived with his eldest brother, he endeavored unsuccessfully to get appointments at Columbia and at Harvard.
In 1855 Sylvester was appointed professor of mathematics in the Royal Military Academy at Woolwich, where he taught until he was retired in July 1870.
In 1876, upon the recommendation of Joseph Henry and Benjamin Peirce, he was called to the newly opened Johns Hopkins University in Baltimore. Here he rendered memorable service.
The oldest member of the faculty, he brought to the new institution not only his reputation and ability as one of the greatest mathematicians of his time, but an infectious eagerness for intellectual endeavor which had a stimulating effect upon the whole university.
From the foundation of the American Journal of Mathematics by the University in 1878 until May 1884 he was its editor, giving it at once a distinguished place among the learned journals of the world. In December 1883 he resigned his chair to accept election as Savilian Professor of Geometry at Oxford, in which position he continued for the remainder of his life, although failing health caused him to retire from teaching in 1894.
His death three years later followed an apoplectic stroke.
His work was chiefly in the domain of analysis rather than in that of geometry. In particular he devoted his attention to the theory of numbers--including the partitions of numbers and the distribution of primes; to higher algebra, as in the completion of Newton's work on the number of imaginary roots in an algebraic equation; and--building upon the foundations laid by Boole and Cayley--to the theory of invariants, a subject in which he was recognized as preminent.
Many of his papers, which during his lifetime appeared in various learned journals, were gathered into The Collected Mathematical Papers of James Joseph Sylvester, edited by H. F. Baker.
In 1870 he published The Laws of Verse, in which from his own polished translations of certain odes of Horace and several German poems he illustrated the principle of "phonetic syzygy"--"the apt juncture of syllables. "
James Sylvester 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 professor at Oxford.
He was the recipient of many honors while he lived, and after his death the Royal Society of London gave his name to a triennial award--the Sylvester Medal--for the encouragement of research in pure mathematics, while the Johns Hopkins University in 1901, wishing to do signal honor to two of the greatest living scientists, Lord Kelvin and Simon Newcomb, awarded them each a medallion bearing Sylvester's portrait. In 1880, the Royal Society of London awarded Sylvester the Copley Medal, its highest award for scientific achievement; in 1901.
He had been president of the London Mathematical Society in 1866, and in 1869 presided over the meeting of the mathematical and physical science section of the British Association.
(James Joseph Sylvester (1814-97) was an English mathemati...)
(James Joseph Sylvester (1814-97) was an English mathemati...)
(James Joseph Sylvester (1814-97) was an English mathemati...)
(This book was originally published prior to 1923, and rep...)
(This book was originally published prior to 1923, and rep...)
(This book was originally published prior to 1923, and rep...)
(This book was originally published prior to 1923, and rep...)
(This book was originally published prior to 1923, and rep...)
(This work has been selected by scholars as being cultural...)
(Sylvester sC onstructive Theory of Partitions, papers on ...)
(The Laws Of Verse : Or Principles Of Versification Exempl...)
(Excerpt from The Quarterly Journal of Pure and Applied Ma...)
(Excerpt from The Quarterly Journal of Pure and Applied Ma...)
(Excerpt from The Quarterly Journal of Pure and Applied Ma...)
(Excerpt from The Collected Mathematical Papers of James J...)
( This is a reproduction of a book published before 1923....)
(By J. E. Prescott. come of the following propositions, al...)
book
James Sylvester was second wrangler in the mathematical tripos of 1837, but because of his Jewish faith was barred from a degree, as well as from prizes and a fellowship.
James Sylvester became a member of the London Mathematical Society in 1866. He was also a member of the British Association.
James Sylvester was eccentric and often irritable and had considerable humor; was vivacious in conversation, and greatly enjoyed society.
Quotes from others about the person
"As a source of intellectual enthusiasm, Sylvester stood out above all his colleagues, " wrote one of his associates.
Sylvester has been characterized as "perhaps the mind most exuberant in original ideas of pure mathematics of any since Gauss".
"The most interesting thing about it, " says Professor George Saintsbury, speaking of this little volume, "is the author's agreement, from almost the most opposite preparation and point of view conceivable, with Poe--an agreement which extends to the doctrine that accent creates quantity".
Most of Sylvester's original verse showed more ingenuity than poetic feeling. He was completely at home in English, French, German, Italian, Latin, and Greek; was very fond of music.
James Sylvester never married.
Scottish physicist
During this period he was closely associated with Arthur Cayley (see Dictionary of National Biography), seven years his junior, a gifted mathematician who had also been called to the bar.
