Modern Algebra and the Rise of Mathematical Structures

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Springer Science & Business Media, Nov 27, 2003 - Mathematics - 452 pages
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The book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-nineteenth century to its consolidation by 1930, and then it considers several attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.

First published in the series Science Networks Historical Studies, Vol. 17 (1996).

In the second rev. edition the author has eliminated misprints, revised the chapter on Richard Dedekind, and updated the bibliographical index.

 

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Contents

IV
17
V
20
VI
31
VII
41
VIII
52
IX
62
X
74
XI
79
XXXVI
242
XXXVII
245
XXXVIII
251
XXXIX
257
XL
259
XLI
261
XLII
265
XLIII
273

XII
91
XIII
102
XIV
108
XV
116
XVI
119
XVII
127
XVIII
135
XIX
136
XX
145
XXI
152
XXII
166
XXIII
170
XXIV
181
XXV
182
XXVI
190
XXVII
194
XXVIII
199
XXIX
205
XXX
211
XXXI
212
XXXII
218
XXXIII
219
XXXIV
223
XXXV
235
XLIV
277
XLV
284
XLVI
287
XLVII
289
XLVIII
299
XLIX
309
L
310
LI
320
LII
323
LIII
325
LIV
327
LV
337
LVI
338
LVII
342
LVIII
349
LIX
362
LX
370
LXI
378
LXII
384
LXIII
393
LXIV
397
LXV
431
LXVI
439
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