The Collected Mathematical Papers of James Joseph Sylvester, Volume 3

Front Cover
American Mathematical Soc., Nov 5, 2008 - Mathematics - 697 pages
0 Reviews
From the Preface: The longest paper in volume I 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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

I
1
II
7
III
26
IV
35
V
37
VI
52
VII
58
VIII
63
XLVI
438
XLVII
440
XLVIII
446
XLIX
449
L
451
LI
453
LII
456
LIII
474

IX
67
X
72
XI
88
XII
93
XIII
101
XIV
103
XV
105
XVI
108
XVII
110
XVIII
117
XIX
127
XX
132
XXI
136
XXII
140
XXIII
144
XXIV
148
XXV
207
XXVI
210
XXVII
218
XXVIII
241
XXIX
249
XXX
252
XXXI
253
XXXII
256
XXXIII
257
XXXIV
258
XXXV
262
XXXVI
264
XXXVII
281
XXXVIII
283
XXXIX
312
XL
392
XLI
411
XLII
414
XLIII
426
XLIV
428
XLV
433
LIV
475
LV
476
LVI
477
LVII
479
LVIII
481
LIX
489
LX
509
LXI
530
LXII
546
LXIII
551
LXIV
557
LXV
562
LXVI
565
LXVII
568
LXVIII
623
LXIX
633
LXX
634
LXXI
635
LXXII
640
LXXIII
642
LXXIV
644
LXXV
645
LXXVI
647
LXXVII
651
LXXVIII
653
LXXIX
656
LXXX
658
LXXXI
661
LXXXII
664
LXXXIII
667
LXXXIV
672
LXXXV
677
LXXXVI
680
LXXXVII
683
LXXXVIII
685
LXXXIX
687
Copyright

Other editions - View all

Common terms and phrases

About the author (2008)

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.

Bibliographic information