A Guide to Classical and Modern Model Theory

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Springer Science & Business Media, Jun 30, 2003 - Mathematics - 369 pages
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Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world.

This volume:
-is easily accessible to young people and mathematicians unfamiliar with logic;
-gives a terse historical picture of Model Theory;
-introduces the latest developments in the area;
-provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters.

A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.

 

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Contents

I
1
II
5
III
9
IV
18
V
20
VI
30
VII
35
VIII
42
XLII
180
XLIII
181
XLIV
184
XLV
192
XLVI
196
XLVII
209
XLVIII
217
XLIX
220

IX
43
X
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XI
52
XII
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XIII
61
XIV
68
XV
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XVI
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XVII
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XVIII
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XIX
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XX
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XXI
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XXII
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XXIII
103
XXIV
109
XXV
112
XXVI
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XXVII
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XXVIII
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XXIX
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XXX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
143
XXXVII
150
XXXVIII
156
XXXIX
158
XL
168
XLI
172
L
221
LI
227
LII
235
LIII
239
LIV
242
LV
261
LVI
270
LVII
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LVIII
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LIX
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LX
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LXI
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LXII
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LXIII
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LXIV
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LXV
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LXVI
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LXVII
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
329
LXXIV
339
LXXV
341
LXXVI
346
LXXVII
347
LXXVIII
348
LXXIX
351
LXXX
363
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