Approximate Commutative Algebra

Front Cover
Lorenzo Robbiano, John Abbott
Springer Science & Business Media, Sep 18, 2009 - Mathematics - 227 pages
Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data deriving from physical measurements of phenomena in the real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra.
 

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Contents

I
1
II
5
III
10
IV
18
V
22
VI
31
VII
40
VIII
53
LXV
128
LXVI
131
LXVII
134
LXVIII
138
LXIX
142
LXXI
144
LXXII
146
LXXIII
147

IX
55
X
59
XII
60
XIII
62
XIV
63
XV
65
XVI
67
XVII
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XIX
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XXI
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XXIV
72
XXVI
73
XXVII
75
XXIX
78
XXX
80
XXXI
81
XXXII
82
XXXIV
83
XXXV
84
XXXVI
85
XXXVII
86
XXXVIII
88
XXXIX
90
XL
94
XLI
95
XLII
99
XLIII
102
XLV
103
XLVI
105
XLVIII
106
XLIX
107
LI
108
LII
110
LIII
112
LVI
113
LVII
114
LVIII
115
LIX
119
LX
120
LXI
121
LXII
123
LXIII
125
LXIV
127
LXXIV
150
LXXV
153
LXXVI
155
LXXVII
158
LXXVIII
163
LXXIX
164
LXXX
165
LXXXI
167
LXXXII
168
LXXXIII
170
LXXXV
171
LXXXVI
173
LXXXVII
176
LXXXVIII
177
LXXXIX
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XC
179
XCI
180
XCII
181
XCIII
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XCIV
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XCVI
185
XCVII
187
XCVIII
190
XCIX
193
C
196
CI
198
CII
199
CIII
201
CIV
202
CVI
204
CVII
206
CVIII
207
CIX
208
CX
209
CXI
210
CXII
211
CXIII
213
CXIV
214
CXV
215
CXVI
217
CXVIII
219
CXIX
225
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