The Collected Mathematical Papers of James Joseph Sylvester, Volume 3

Front Cover
American Mathematical Soc., 2008 - Mathematics - 697 pages
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.
 

Contents

I
1
III
7
IV
26
V
35
VI
37
VII
52
VIII
58
IX
63
LIII
438
LIV
440
LV
446
LVI
449
LVII
451
LVIII
453
LIX
456
LX
474

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

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