Introduction to Lattices and Order

Front Cover
Cambridge University Press, Apr 18, 2002 - Mathematics - 298 pages
This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.
 

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Contents

III
1
IV
5
V
10
VI
14
VII
20
VIII
23
IX
25
X
33
XXXVI
141
XXXVII
145
XXXIX
148
XL
155
XLI
165
XLII
169
XLIII
175
XLIV
180

XI
39
XII
41
XIII
46
XIV
50
XV
53
XVI
56
XVII
65
XIX
74
XX
79
XXI
85
XXIII
88
XXIV
93
XXV
96
XXVI
104
XXVII
112
XXVIII
114
XXIX
116
XXX
119
XXXI
124
XXXII
130
XXXIV
134
XXXV
137
XLV
182
XLVI
189
XLVII
193
XLVIII
201
XLIX
204
L
221
LI
223
LII
228
LIII
232
LIV
237
LV
244
LVI
247
LVII
252
LVIII
256
LIX
261
LX
267
LXI
275
LXII
280
LXIII
286
LXIV
289
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