The Collected Mathematical Papers of James Joseph Sylvester, Volume 2

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American Mathematical Soc., Oct 8, 2008 - Mathematics - 746 pages
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From the Preface: ``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.''
 

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Contents

I
1
II
2
III
10
IV
11
V
28
VI
29
VII
30
VIII
34
LVI
308
LVII
313
LVIII
318
LIX
323
LX
325
LXI
327
LXII
329
LXIII
331

IX
40
X
44
XI
50
XII
55
XIII
59
XIV
61
XV
63
XVI
65
XVII
86
XVIII
90
XIX
100
XX
101
XXI
103
XXII
107
XXIII
110
XXIV
113
XXV
118
XXVI
119
XXVII
176
XXVIII
177
XXIX
178
XXX
179
XXXI
181
XXXII
200
XXXIII
208
XXXIV
215
XXXV
225
XXXVI
229
XXXVII
232
XXXVIII
234
XXXIX
236
XL
240
XLI
242
XLII
245
XLIII
247
XLIV
250
XLV
254
XLVI
264
XLVII
272
XLVIII
277
XLIX
286
L
290
LI
294
LII
298
LIII
304
LIV
305
LV
307
LXIV
338
LXV
342
LXVI
358
LXVII
360
LXVIII
361
LXIX
363
LXX
368
LXXI
369
LXXII
371
LXXIII
375
LXXIV
376
LXXV
480
LXXVI
482
LXXVII
484
LXXVIII
485
LXXIX
489
LXXX
491
LXXXI
493
LXXXII
495
LXXXIII
496
LXXXIV
498
LXXXV
514
LXXXVI
517
LXXXVII
519
LXXXVIII
542
LXXXIX
547
XC
559
XCI
564
XCII
567
XCIII
577
XCIV
602
XCV
608
XCVI
615
XCVII
629
XCVIII
630
XCIX
641
C
650
CI
662
CIII
663
CIV
689
CV
691
CVI
694
CVII
701
CVIII
704
CIX
709
CX
712
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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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